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Five Number Summary: Apps for Students and Teachers

APSTAT-WZYM2X

Sylus, the statistician, conducted a survey at her school about the number of apps on a person’s phone. Mr. Wexman was excluded from the survey because, in his words, “I will never get one of those flim-flam fancy phones. Rots your brain, you know. It reminds me of the war of 1812.…” A five number summary displays the results.

Which of the following statements MUST be true?

Number of Apps for Students and Teachers

Number of Apps Min Q1 Median Q3 Max
Students 0 4 19 24 51
Teachers 3 22 41 49 124
A

The teachers have a higher standard deviation and a higher median.

B

The students have a higher variance and a higher range.

C

The teachers have a higher interquartile range and a higher median.

D

The teachers have a lower standard deviation and a higher median.

E

The students have a higher median and a higher mode.