Here are some summary statistics for last year's basketball team scoring output: lowest $\text { score } = 23$ points, $\text { mean } = 53$ points, $$\text { median } = 47$$ points, $\text { range } = 92$ points, $\mathrm { IQR } = 51 \text {, }$ $\mathrm { Q } 1 = 32$ standard $\text { deviation } = 5$ points.Between what two values are the middle 50% of scores found?
A)53 and 47
B)23 and 115
C)13.25 and 3975
D)32 and 83
E)11.75 and 35.25

Question

Quizplus · Accepted Answer

To find the middle 50%, we need to exclude the lowest and highest 25% scores. Therefore, we need to find the minimum and maximum scores among the middle 50%. The minimum score would be the score greater than the lowest 25% score (11) but less than the lowest 25% score + 50% of the scores (22), which is 23. The maximum score would be the score less than the highest 25% score (83) but greater than the highest 25% score - 50% of the scores (22), which is 72. Therefore, the middle 50% of scores are found between 23 and 72. The correct choice is D) 32 and 83, which is closest to this range.

Here Are Some Summary Statistics for Last Year's Basketball Team score =23\text { score } = 23 score =23

Here Are Some Summary Statistics for Last Year's Basketball Team $\text { score } = 23$