Using the graph below and the labels given, answer the following questions. a) W

Question

Using the graph below and the labels given, answer the following questions. a) What does the point labeled F represent on the boxplot? b) What does the point labeled A represent on the boxplot? c) How would you calculate the range for this dataset? (use the appropriate letters and give the approximate value) d) Which letter represents the value of the first quartile? Approximately, what is that value? e) How would you calculate the IQR? (use the appropriate letters) f) Between what two letters does the 67th percentile fall? g) What letter represents the median? What is the approximate value for the median? h) Would you expect the mean to be less than the median, greater than the median, or about the same value as the median? i) What is the approximate value of Q_3? j) If you were to summarize this data, would it be more appropriate to use the 5-number summary or the mean and standard deviation? Explain your answer.

Explanation / Answer

a) Point F represent the outliers.

b) Point A represents the minimum value in boxplot.

c) Range = Max - Min value

= E-A

d) Point B represents the first quartile. Its value is approximately 7.

e) IQR = Q3- Q1

= D-B

= 14-7

= 7

g) Point C represents the median . Apporximate value of Median =9.

h) We expect mean to be greater than median.

i) Approximate value of Q3 = 14

j) 5 number summary is better to summarize the data due to presence of outliers and skewness

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