Question

exit ticket: range and iqr
multiple choice
what is the iqr of the following data set?
15, 19, 23, 27, 29, 29, 31, 33, 40, 57, 76
a 61
b 17
c 76

Explanation:

Step1: Arrange data in order (already in order).

$15, 19, 23, 27, 29, 29, 31, 33, 40, 57, 76$

Step2: Find the median (Q2).

There are 11 data - points. The median is the 6th value, so $Q2 = 29$.

Step3: Find the lower half of data.

The lower half is $15, 19, 23, 27, 29$. The median of the lower half (Q1) is 23.

Step4: Find the upper half of data.

The upper half is $31, 33, 40, 57, 76$. The median of the upper half (Q3) is 40.

Step5: Calculate the IQR.

$IQR=Q3 - Q1=40 - 23 = 17$

Answer:

B. 17