Extracurricular Activities: The number of school-related extracurricular activit

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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

xp(x)x*px^2*p
019/32000
139/32039/32039/320
252/320104/320208/320
357/320171/320513/320
468/320272/3201088/320
541/320205/3201025/320
627/320162/320972/320
717/320119/320833/320


∑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
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