Question

Samss and Oscar are reading a book for English class. The following data sets show how many pages Sam and Oscar read each day for a week.

Pages read by Sam: 10, 15, 11, 14, 17, 13, 11
Pages read by Oscar: 12, 14, 17, 19, 14, 18, 16

The interquartile range (IQR) of both the data sets is 4. Create a box plot for each data set. Which statement correctly compares the two data sets?

A. The majority of the pages read by Sam are greater than the median of the pages read by Oscar.

B. The majority of the pages read by Oscar are greater than the median of the pages read by Sam.

C. There is not enough information given to compare the data and medians of the pages read by Oscar and Sam.

D. The medians of both data sets are equal.

Answer 1

Explanation:

To create a box plot, we need to find the minimum value, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum value for each data set:

Pages read by Sam: 10, 15, 11, 14, 17, 13, 11

Minimum: 10

Q1: 11

Median: 14

Q3: 15

Maximum: 17

Pages read by Oscar: 12, 14, 17, 19, 14, 18, 16

Minimum: 12

Q1: 14

Median: 16

Q3: 18

Maximum: 19

Based on the box plots, we can see that the median of the pages read by Oscar is greater than the median of the pages read by Sam. Therefore, the correct statement is:

B. The majority of the pages read by Oscar are greater than the median of the pages read by Sam.

Answer 2

Answer:B

Step-by-step explanation: Because The majority of the pages read by Oscar are greater than the median of the pages read by Sam.