image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite CampusTurito Championship

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    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.