Question

The five number summary for scores on a statistics exam is 26, 46, 71, 88, 99. In all, 136 students took the test. About how many had scores between 46 and 88?

Answer 1

Answer: About 68 students had scores between 46 and 88.

Explanation:

We are given the following five number summary:

$Minimum=26$

$Q_{1}=46$

$Median=71$

$Q_{3}=88$

$Maximum=99$

We are also given that 136 students took the test.

We know that 50% of data lies between the lower quartile and upper quartile. Therefore, the number of students who had scores between 46 and 88 is:

$\frac{50}{100}\times 136$

$0.5 \times 136$

$68$