Here are some summary statistics for last year's basketball team scoring output: lowest score = 23 points,mean = 53 points,median = 47 points,range = 92 points,IQR = 51,Q1 = 32,standard 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 3,975
D)32 and 83
E)11.75 and 35.25

Question

Quizplus · Accepted Answer

The IQR is the range of the middle 50% of the data. Q1 is the 25th percentile and Q3 is the 75th percentile. From the given information, Q1 = 32 and IQR = 51. Therefore, Q3 = 32 + 51 = 83. The middle 50% of scores are between Q1 and Q3, which is 32 and 83. Thus, the correct answer is D.

Here Are Some Summary Statistics for Last Year's Basketball Team