image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite CampusTurito Championship

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    Mathematics
    Grade10
    Easy

    Question

    In the context of the z-score:
    In test scores,

    1. Equal is better      
    2. Higher is better 
    3. Both a and b
    4. None of the above

    The correct answer is: Higher is better

      h i g h e r space i s space b e t t e r comma space i s space c o r r e c t space c h o i c e T h e space m a j o r space d i f f e r e n c e space b e t w e e n space u sin g space a space Z space s c o r e space a n d space a space T space s c o r e space i s. space t h a t space y o u space h a v e space t o space e s t i m a t e space t h e space p o p u l a t i o n space s tan d a r d space d e v i a t i o n. space T h e space T space s c o r e space i s space a l s o space u s e d space i f space y o u space h a v e space a space s m a l l space s a m p l e space s i z e space left parenthesis l e s s space t h a n space 30 right parenthesis. space Z space s c o r e space i s space t h e space s tan d a r d i z a t i o n space f r o m space t h e space p o p u l a t i o n space r a w space d a t a space o r space m o r e space t h a n space 30 space s a m p l e space d a t a space

      T h e space m a j o r space d i f f e r e n c e space b e t w e e n space u sin g space a space Z space s c o r e space a n d space a space T space s c o r e space i s. space t h a t space y o u space h a v e space t o space e s t i m a t e space t h e space p o p u l a t i o n space s tan d a r d space d e v i a t i o n. space T h e space T space s c o r e space i s space a l s o space u s e d space i f space y o u space h a v e space a space s m a l l space s a m p l e space s i z e space left parenthesis l e s s space t h a n space 30 right parenthesis. space Z space s c o r e space i s space t h e space s tan d a r d i z a t i o n space f r o m space t h e space p o p u l a t i o n space r a w space d a t a space o r space m o r e space t h a n space 30 space s a m p l e space d a t a space

      Related Questions to study

      Grade10
      Mathematics

      In the context of the z-score:
      In golf scores,

      In the context of the z-score:
      In golf scores,

      MathematicsGrade10
      Grade10
      Mathematics

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      Who scored better among Maha and Arjun?

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      Who scored better among Maha and Arjun?

      MathematicsGrade10
      Grade10
      Mathematics

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      What is the z-score of the Arjun?

      The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      What is the z-score of the Arjun?

      MathematicsGrade10

      The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

      parallel
      Grade10
      Mathematics

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      What is the z-score of the Maha?

      The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

      Maha and Arjun are comparing scores on their college entrance exams. Maha’s SAT score is 1400. Arjun’s ACT score is 40. The mean SAT score is 1100 with a standard deviation of 200. The mean ACT score is 20 with a standard deviation of 6.
      What is the z-score of the Maha?

      MathematicsGrade10

      The standardization of a random variable Suppose X is a random variable with mean µ and standard deviation σ > 0

      Grade10
      Mathematics


      Approximately 95% of data values in a normal distribution within ………. standard deviation of the mean.

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n rightwards double arrow 95 percent sign space o f space d a t a space v a l u e space i n space a space n o r m a l space d i s t r i b u t i o n space w i t h i n space 2 space s tan d a r d space d e v i a t i o n space o f space t h e space m e a n


      Approximately 95% of data values in a normal distribution within ………. standard deviation of the mean.

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n rightwards double arrow 95 percent sign space o f space d a t a space v a l u e space i n space a space n o r m a l space d i s t r i b u t i o n space w i t h i n space 2 space s tan d a r d space d e v i a t i o n space o f space t h e space m e a n

      Grade10
      Mathematics


      Approximately 99.7% of data values in a normal distribution within ………. standard deviation of the mean.

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.


      Approximately 99.7% of data values in a normal distribution within ………. standard deviation of the mean.

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      parallel
      Grade10
      Mathematics


      Approximately ______ of data values in a normal distribution within 1 standard deviation of the mean.

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.


      Approximately ______ of data values in a normal distribution within 1 standard deviation of the mean.

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      Grade10
      Mathematics

      Normal distribution is symmetric about __________

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      Normal distribution is symmetric about __________

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      Grade10
      Mathematics

      If the z-score of the normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of the normal distribution is 3 less than the value of the x for the normal distribution is

      Use straight z minus score equals fraction numerator text  data value  end text minus text  mean  end text over denominator text  Standard deviation  end text end fraction

      If the z-score of the normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of the normal distribution is 3 less than the value of the x for the normal distribution is

      MathematicsGrade10

      Use straight z minus score equals fraction numerator text  data value  end text minus text  mean  end text over denominator text  Standard deviation  end text end fraction

      parallel
      Grade10
      Mathematics

      If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then the standardized random variable is

      Use formula Z = (X −µ)/σ

      If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then the standardized random variable is

      MathematicsGrade10

      Use formula Z = (X −µ)/σ

      Grade10
      Mathematics

      The normal distribution is also classified as

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      The normal distribution is also classified as

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      Grade10
      Mathematics

      The area under a standard normal curve is ______

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      The area under a standard normal curve is ______

      MathematicsGrade10

      p r o p e r t i e s space o f space n o r m a l space d i s t r i b u t i o n colon rightwards double arrow i t space i s space a space b e l l space s h a p e d space c u r v e rightwards double arrow T h e space m e a n comma space m o d e space a n d space m e d i a n space a r e space a l l space e q u a l. space rightwards double arrow i t space i s space s y m m e t r i c space a b o u t space t h e space m e a n comma space mu. rightwards double arrow space T h e space t o t a l space a r e a space u n d e r space t h e space c u r v e space i s space 1. rightwards double arrow 68 percent sign space o f space t h e space d a t a space f a l l s space w i t h i n space 1 space s tan d a r d space d e v i a t i o n. rightwards double arrow space 99.7 percent sign space o f space d a t a space o b s e r v e d space f o l l o w i n g space a space n o r m a l space d i s t r i b u t i o n space l i e s space w i t h i n space 3 space s tan d a r d space d e v i a t i o n s space o f space t h e space m e a n.

      parallel
      Grade10
      Mathematics

      For a standard normal variate, the value of the standard deviation is ____

      For a standard normal variate, the value of the standard deviation is ____

      MathematicsGrade10
      Grade10
      Mathematics

      For a normal distribution its mean, median, mode are equal.

      For a normal distribution its mean, median, mode are equal.

      MathematicsGrade10
      Grade10
      Mathematics

      Skewness of normal distribution is ______

      Skewness of normal distribution is ______

      MathematicsGrade10
      parallel

      card img

      With Turito Academy.

      card img

      With Turito Foundation.

      card img

      Get an Expert Advice From Turito.

      Turito Academy

      card img

      With Turito Academy.

      Test Prep

      card img

      With Turito Foundation.