Question

Part A: Estimate the IQR for the males' data.
Part B: Estimate the difference between the median values of each data set.
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each.
Part D: Provide a possible reason for the outlier in the data set.
HELP PLZ IM DESPERATE ​

Answer 1

A boxplot represents the distribution of data using a five number summary

(a) The IQR of the male's data

From the male's boxplot, we have the following data elements

• Upper quartile (Q3) = 14
• Lower quartile (Q1) = 2

The IQR is then calculated as:

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2

IQR = 12

Hence, the IQR for the males' data is 12

(b) The difference between the median values

From the boxplots, we have:

• Median of male's data = 10
• Median of female's data = 18

The difference (d) between the median values is

d = 18 - 10

d = 8

Hence, the difference between the median values of each data set is 8

(c) The distribution of data

The male's data has an outlier, while the female's data does not have any outlier

Hence, the median is a better measure of center for the male's data, while the mean is a better measure of center for the female's data

(d) Reason for outliers

A possible reason for outliers is sampling problems

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