Question

A data set is made up of these values.

Answer 1

Answer:

C. 7 - 3 = 4

Step-by-step explanation:

Given

$Dataset: 3, 3, 4, 5, 6, 7, 10$

Required

The IQR

The IQR is calculated using:

$IQR = Q_3 - Q_1$

Where:

$Q_3 \to$ Median of the upper $half$

$Q_1 \to$ Median of the lower $half$

The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.

Split to two, we have:

$Lower \to 3, 3, 4$

$Median \to 5$

$Upper \to 6, 7, 10$

The lower half has 3 data; So, the median is the 2nd position.

Hence:

$Q_1 = 3$

The upper half has 3 data; So, the median is the 2nd position.

Hence:

$Q_3 = 7$

So, the IQR is:

$IQR = Q_3 - Q_1$

$IQR = 7 - 3$

$IQR = 4$