Question

the two box plots summarize the number of books read over summer break by middle school and high school students. middle school high school 0 1 2 3 4 5 6 7 8 9 10 which students typically read more books over summer? what is the variability of middle half of the data for middle school? what is the variability of the middle half of the data for high school?

Explanation:

Step1: Identify typical value

Typical value in box - plot is median. Median of middle - school students is around 6, median of high - school students is around 2. So middle - school students typically read more books.

Step2: Find inter - quartile range for middle school

Inter - quartile range (IQR) gives variability of middle half of data. For middle school, Q1 is around 4 and Q3 is around 7. IQR = Q3 - Q1 = 7 - 4 = 3.

Step3: Find inter - quartile range for high school

For high school, Q1 is around 1.5 and Q3 is around 3.5. IQR = Q3 - Q1 = 3.5 - 1.5 = 2.

Answer:

Middle school students
3
2