Mathematics
Grade10
Easy

Question


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

  1. 5
  2. 2
  3. 9
  4. None of the above

The correct answer is: 2


    2 comma space i s space t h e space c o r r e c t space c h o i c e

95 percent sign space p e r c e n t space w i t h i n space t w o space s tan d a r d space d e v i a t i o n s

    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

    Related Questions to study

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    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.

    Grade10
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    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.

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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.

    Grade10
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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 __________

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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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    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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    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

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    Use formula Z = (X −µ)/σ

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    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.

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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.

    The area under a standard normal curve is ______

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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 ____

    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.

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

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    Mathematics

    Skewness of normal distribution is ______

    Skewness of normal distribution is ______

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    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 _______

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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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    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 _________

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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.

    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
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    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

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