Mathematics
Grade10
Easy

Question

Normal distribution is symmetric about __________

  1. Variance
  2. Mean
  3. Standard deviation Covariance
  4. Covariance

hintHint:

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: Standard deviation
Covariance


    m e a n comma space i s space t h e space c o r r e c t space c h o i c e

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 bold italic i bold italic t bold space bold italic i bold italic s bold space bold italic s bold italic y bold italic m bold italic m bold italic e bold italic t bold italic r bold italic i bold italic c bold italic a bold italic l bold space bold italic a bold italic b bold italic o bold italic u bold italic t bold space bold italic m bold italic e bold italic a bold italic 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

    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

    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.

    parallel
    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.

    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
    parallel
    Grade10
    Mathematics

    Skewness of normal distribution is ______

    Skewness of normal distribution is ______

    MathematicsGrade10
    Grade10
    Mathematics

    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.

    Grade10
    Mathematics

    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
    Grade10
    Mathematics

    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
    Grade10
    Mathematics

    In a normal distribution each vertical represents ______ standard deviation.

    In a normal distribution each vertical represents ______ standard deviation.

    MathematicsGrade10
    Grade10
    Mathematics

    The empirical rule applicable to ________

    The empirical rule applicable to ________

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    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
    Grade10
    Mathematics

    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
    Grade10
    Mathematics

    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

    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.