Question

question 12 of 12 (1 point) | question attempt: 1 of 3 (a) which class had a higher median test score? (b) which class had a smaller range of test scores? (c) which class had test scores with a larger interquartile range (iqr)?

Explanation:

Step1: Identify medians from box - plots

The median is the line inside the box. For Class A, the median is around 80. For Class B, the median is around 85.

Step2: Identify ranges from box - plots

The range is the difference between the maximum and minimum values. For Class A, the minimum is around 70 and the maximum is around 90, so the range is \(90 - 70=20\). For Class B, the minimum is around 65 and the maximum is around 95, so the range is \(95 - 65 = 30\).

Step3: Identify inter - quartile ranges (IQR) from box - plots

The IQR is the length of the box. For Class A, the first quartile \(Q_1\) is around 75 and the third quartile \(Q_3\) is around 85, so \(IQR_A=85 - 75 = 10\). For Class B, \(Q_1\) is around 75 and \(Q_3\) is around 90, so \(IQR_B=90 - 75=15\).

Answer:

(a) Class B
(b) Class A
(c) Class B