##### Extracurricular Activities: The number of school-related extracurricular activit

label Statistics
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schedule 1 Day
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Extracurricular Activities: The number of school-related extracurricular activities per student.

Activities       0     1      2      3      4      5      6     7

Students      19    39   52    57    68    41    27   17

(a) Use the frequency distribution to construct a probability distribution.
(b) Graph the probability distribution using a histogram and describe its shape.
(c) Find the mean, variance, and standard deviation of the probability distribution.
(d) Interpret the results in the context of the real life situation.

Mar 26th, 2015

Frequency Distribution

 x p(x) x*p x^2*p 0 19/320 0 0 1 39/320 39/320 39/320 2 52/320 104/320 208/320 3 57/320 171/320 513/320 4 68/320 272/320 1088/320 5 41/320 205/320 1025/320 6 27/320 162/320 972/320 7 17/320 119/320 833/320 ∑xp=1072/320=3.35 ∑x^2*p=4678/320=14.61

Mean = 3.35

Variance = 14.61 - (3.35)^2 = 14.61 - 11.22 = 3.39

S.D = square root of  3.39 = 1.84

Mar 26th, 2015

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Mar 26th, 2015
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Mar 26th, 2015
Oct 18th, 2017
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