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Set of ungrouped sample data

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Consider the following set of ungrouped sample data. Answer parts A through D.

0, 2, 3, 4, 5, 5, 5, 6, 6, 6, 8

?(A) Find the mean and standard deviation of the ungrouped sample data.

B) What proportion of the measurements lies within 1 standard deviation of the? mean? Within 2 standard? deviations? Within 3 standard? deviations?

?(C) Based on your answers to part? (B), would you conjecture that the histogram is approximately bell? shaped? Explain

?A. ?Yes, because about the same number of data values fall near the mean as fall farther above and below the mean.

B. ?No, because most of the data values fall farther than 3 standard deviations from the mean.

C. ?No, because most of the data values fall between 2 and 3 standard deviations from the mean.

D. ?Yes, because most of the data values fall near the mean with fewer data values farther from the mean

?(D) To confirm your? conjecture, construct a histogram with the class interval width 1 starting at 0.5.

Reference no: EM132332010

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