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Mathematics

Grade10

Easy

Question

The normal distribution is also classified as

Poisson distribution
Gaussian distribution
Bernoulli’s distribution
Weighted average distribution

hint Hint:

$rightwards arrow n o r m a l space d i s t r i b u t i o n comma space i s space a space b e l l space s h a p e d space a n d space h a s space a space sin g l e space p e a k space a t space t h e space c e n t e r space o f space t h e space d i s t r i b u t i o n. rightwards arrow space i n space i t space m e a n space comma space m e d i a n space a n d space m o d e space a r e space e q u a l rightwards arrow i t space i s space s y m m e t r i c a l space a b o u t space m e a n$

The correct answer is: Gaussian distribution

$G a u s s i a n space d i s t r i b u t i o n comma space i s space t h e space c o r r e c t space c h o i c e N o r m a l space d i s t r i b u t i o n comma i s space a l s o space k n o w n space a s space t h e space G a u s s i a n space d i s t r i b u t i o n$

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

Related Questions to study

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

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

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

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

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

MathematicsGrade10

parallel

Skewness of normal distribution is ______

Skewness of normal distribution is ______

MathematicsGrade10

The shape of the normal curve is _______

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

The shape of the normal curve is _______

MathematicsGrade10

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

The z-score can be used for _________

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

The z-score can be used for _________

MathematicsGrade10

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

parallel

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

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

MathematicsGrade10

In a normal distribution each vertical represents ______ standard deviation.

In a normal distribution each vertical represents ______ standard deviation.

MathematicsGrade10

The empirical rule applicable to ________

The empirical rule applicable to ________

MathematicsGrade10

parallel

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.

MathematicsGrade10

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

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

MathematicsGrade10

What is the other name of the empirical rule?

$T h e space e m p i r i c a l space r u l e comma space a l s o space r e f e r r e d space t o space a s space t h e space t h r e e minus s i g m a space r u l e space o r space space 68 percent sign minus 95 percent sign minus 99.7 percent sign space r u l e comma I T space i s space a space s t a t i s t i c a l space r u l e space w h i c h space s t a t e s space t h a t space f o r space a space n o r m a l space d i s t r i b u t i o n comma space a l m o s t space a l l space o b s e r v e d space d a t a space w i l l space f a l l space w i t h i n space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis d e n o t e d space b y space sigma right parenthesis space o f space t h e space m e a n space o r space a v e r a g e space left parenthesis d e n o t e d space b y space µ right parenthesis. t h e space e m p i r i c a l space r u l e space p r e d i c t s space t h a t space 68 percent sign space o f space o b s e r v a t i o n s space f a l l s space w i t h i n space t h e space f i r s t space s tan d a r d space d e v i a t i o n space left parenthesis µ space plus-or-minus space sigma right parenthesis comma space 95 percent sign space w i t h i n space t h e space f i r s t space t w o space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 2 sigma right parenthesis comma space a n d space 99.7 percent sign space w i t h i n space t h e space f i r s t space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 3 sigma right parenthesis$

What is the other name of the empirical rule?

MathematicsGrade10

$T h e space e m p i r i c a l space r u l e comma space a l s o space r e f e r r e d space t o space a s space t h e space t h r e e minus s i g m a space r u l e space o r space space 68 percent sign minus 95 percent sign minus 99.7 percent sign space r u l e comma I T space i s space a space s t a t i s t i c a l space r u l e space w h i c h space s t a t e s space t h a t space f o r space a space n o r m a l space d i s t r i b u t i o n comma space a l m o s t space a l l space o b s e r v e d space d a t a space w i l l space f a l l space w i t h i n space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis d e n o t e d space b y space sigma right parenthesis space o f space t h e space m e a n space o r space a v e r a g e space left parenthesis d e n o t e d space b y space µ right parenthesis. t h e space e m p i r i c a l space r u l e space p r e d i c t s space t h a t space 68 percent sign space o f space o b s e r v a t i o n s space f a l l s space w i t h i n space t h e space f i r s t space s tan d a r d space d e v i a t i o n space left parenthesis µ space plus-or-minus space sigma right parenthesis comma space 95 percent sign space w i t h i n space t h e space f i r s t space t w o space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 2 sigma right parenthesis comma space a n d space 99.7 percent sign space w i t h i n space t h e space f i r s t space t h r e e space s tan d a r d space d e v i a t i o n s space left parenthesis µ space plus-or-minus space 3 sigma right parenthesis$

parallel

What is the symbol for standard deviation when the data set is the population?

What is the symbol for standard deviation when the data set is the population?

MathematicsGrade10

What is the symbol of meaning when data set is population?

What is the symbol of meaning when data set is population?

MathematicsGrade10

If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be __________

Correct option is (a)
Given slope of the line (m) = 4 and y intercept of the line (c) is 2..
The general equation of slope intercept form is y=mx+c
putting m=4 and c=2 in the general equation
y=4x+2
the resultant equation will be y=4x+2

If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be __________

MathematicsGrade-8

Correct option is (a)
Given slope of the line (m) = 4 and y intercept of the line (c) is 2..
The general equation of slope intercept form is y=mx+c
putting m=4 and c=2 in the general equation
y=4x+2
the resultant equation will be y=4x+2

parallel

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