Mathematics
Grade10
Easy

Question

A __________ has a shape that, when reflected across the mean, the display is roughly same.

  1. Skewed distribution
  2. Symmetrical distribution
  3. Either Skewed distribution or symmetrical distribution
  4. None of the above

hintHint:

The correct answer is: Symmetrical distribution


    symmetrical distribution, is the correct choice
    A distribution is said to be symmetrical when the distribution on either side of the mean is a mirror In a symmetrical distribution, mean = median = mode

    Related Questions to study

    Grade10
    Mathematics

    A ..............is one with a shape that stretched out in either a positive or negative direction.

    A ..............is one with a shape that stretched out in either a positive or negative direction.

    MathematicsGrade10
    Grade10
    Mathematics

    For ................. distributions, uses median and quartile to describe the data.

    For ................. distributions, uses median and quartile to describe the data.

    MathematicsGrade10
    Grade10
    Mathematics

    For distributions that are approximately ................, use mean and standard deviation to describe the data.

    For distributions that are approximately ................, use mean and standard deviation to describe the data.

    MathematicsGrade10
    parallel
    Grade10
    Mathematics

    The value of median in standard normal deviation, the value of median is _____

    The value of median in standard normal deviation, the value of median is _____

    MathematicsGrade10
    Grade10
    Mathematics

    Who discovered normal distributions first?

    I t space i s space a l s o space c a l l e d space t h e space " G a u s s i a n space c u r v e " space a f t e r space t h e space m a t h e m a t i c i a n space K a r l space F r i e d r i c h space G a u s s.
space a l t h o u g h space G a u s s space p l a y e d space a n space i m p o r tan t space r o l e space i n space i t s space h i s t o r y comma space A b r a h a m space d e space M o i v r e space f i r s t space d i s c o v e r e d space t h e space n o r m a l space d i s t r i b u t i o n

    Who discovered normal distributions first?

    MathematicsGrade10

    I t space i s space a l s o space c a l l e d space t h e space " G a u s s i a n space c u r v e " space a f t e r space t h e space m a t h e m a t i c i a n space K a r l space F r i e d r i c h space G a u s s.
space a l t h o u g h space G a u s s space p l a y e d space a n space i m p o r tan t space r o l e space i n space i t s space h i s t o r y comma space A b r a h a m space d e space M o i v r e space f i r s t space d i s c o v e r e d space t h e space n o r m a l space d i s t r i b u t i o n

    Grade10
    Mathematics

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

    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

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

    MathematicsGrade10

    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

    parallel
    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

    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.