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    Mathematics
    Grade10
    Easy

    Question


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

    1. 68% 
    2. 69% 
    3. 70% 
    4. 100% 

    The correct answer is: 68%

      68 percent sign comma space i s space t h e space c o r r e c t space c h o i c e n o r m a l space d i s t r i b u t i o n space h a s space s o m e space i n t e r e s t i n g space p r o p e r t i e s colon rightwards arrow space i t space h a s space a space b e l l space s h a p e comma rightwards arrow space t h e space m e a n comma space m e d i a n space a n d space m o d e space a r e space e q u a l comma rightwards arrow space 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.

      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.

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      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

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      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

      Grade10
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      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

      parallel
      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

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      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.

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      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.

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      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.

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

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

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      Skewness of normal distribution is ______

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      A space n o r m a l space d i s t r i b u t i o n space i s space a space t r u e space s y m m e t r i c space d i s t r i b u t i o n left parenthesis b e l l space s h a p e space g r a p h right parenthesis space m e a n s space comma space m o d e space a n d space m e d i a n s space a r e space e q u a l comma W h e n space a space h i s t o g r a m space i s space c o n s t r u c t e d space o n space v a l u e s space t h a t space a r e space n o r m a l l y space d i s t r i b u t e d comma space t h e space s h a p e space o f space c o l u m n s space f o r m space a space s y m m e t r i c a l space b e l l space s h a p e. T h i s space i s space w h y space t h i s space d i s t r i b u t i o n space i s space a l s o space k n o w n space a s space a space apostrophe n o r m a l space c u r v e apostrophe space o r space apostrophe b e l l space c u r v e apostrophe.

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      MathematicsGrade10

      A space n o r m a l space d i s t r i b u t i o n space i s space a space t r u e space s y m m e t r i c space d i s t r i b u t i o n left parenthesis b e l l space s h a p e space g r a p h right parenthesis space m e a n s space comma space m o d e space a n d space m e d i a n s space a r e space e q u a l comma W h e n space a space h i s t o g r a m space i s space c o n s t r u c t e d space o n space v a l u e s space t h a t space a r e space n o r m a l l y space d i s t r i b u t e d comma space t h e space s h a p e space o f space c o l u m n s space f o r m space a space s y m m e t r i c a l space b e l l space s h a p e. T h i s space i s space w h y space t h i s space d i s t r i b u t i o n space i s space a l s o space k n o w n space a s space a space apostrophe n o r m a l space c u r v e apostrophe space o r space apostrophe b e l l space c u r v e apostrophe.

      parallel
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      T h e space s tan d a r d space n o r m a l space d i s t r i b u t i o n comma space a l s o space c a l l e d space t h e space z minus d i s t r i b u t i o n comma space i s space a space s p e c i a l space n o r m a l space d i s t r i b u t i o n space w h e r e space t h e space m e a n space i s space 0 space a n d space t h e space s tan d a r d space d e v i a t i o n space i s space 1.

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      T h e space s tan d a r d space n o r m a l space d i s t r i b u t i o n comma space a l s o space c a l l e d space t h e space z minus d i s t r i b u t i o n comma space i s space a space s p e c i a l space n o r m a l space d i s t r i b u t i o n space w h e r e space t h e space m e a n space i s space 0 space a n d space t h e space s tan d a r d space d e v i a t i o n space i s space 1.

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      Complete the equation:
      z equals fraction numerator square over denominator text  Standard deviation  end text end fraction

      MathematicsGrade10
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      In a normal distribution each vertical represents ______ standard deviation.

      In a normal distribution each vertical represents ______ standard deviation.

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      parallel
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      Mathematics

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      The empirical rule applicable to ________

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      The __________ counts how many standard deviations a data value is above or below the mean.

      The __________ counts how many standard deviations a data value is above or below the mean.

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      The _____________ is the normal distribution with mean = 0 and standard deviation = 1

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