The date below represents the prices per share of the 20 most actively traded st

Question

The date below represents the prices per share of the 20 most actively traded stock on the NY Stock Exchange on Feb. 11, 2011.

5 15 2 16 5 5 21 33 19 9 7 9 48 39 52 17 85 13 35 10 A) Make a Stem and Leaaf Display of this data and use this to comment on the distribution of the data. B) Find the median, first quartile, third quartile, interquartile range and the semi-interquartile range. Calculate median + OR - 3 (Semi -IQR) and use this to determine if there are any outliers in the data. SHOW ALL WORK

Explanation / Answer

(A)

(B)

Median

The numeric value separating the higher half of the sample data from the lower half.

median = (15+16)/2 = 15.5

First quartile: The first quartile, or 25th percentile xL (also written as Q1), is the number for which 25% of values in the data set are smaller than xL = (7+9)/2 = 8

Third quartile: The third quartile or 75th percentile, xH (Q3) is the value such that 75% of the observations are less than xH = (33+35)/2 = 34

Interquartile range = Third - first quartile = 34-8 = 26

Semiquartile range = IQR/2 = 13

OR = obs. range = max - min = 85-2 = 83

median + OR - 3 (Semi -IQR) = 15.5 +83 -3(13) = 15.5 + 83 -39 = 59.5

so any number greater than it, is outlier i.e. 85

please upvote the answer.

Stem Leaf 0 2 5 5 5 7 9 9 1 0 3 5 6 7 9 2 1 3 3 5 9 4 8 5 2 6 7 8 5

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