Question

the following data points represent the number of attendees at each of the dance events hosted by cloy events. answer 2 questions about the data set. 1. sort the data from least to greatest. 32 34 35 35 39 40 44 47 2. find the interquartile range (iqr) of the data set. attendees

Explanation:

Step1: Determine the median (Q2)

The data set has 8 values. The median is the average of the 4th and 5th - ordered values. $\frac{35 + 39}{2}=37$.

Step2: Find the lower half and Q1

The lower - half of the data set is 32, 34, 35, 35. The median of the lower - half (Q1) is $\frac{34+35}{2}=34.5$.

Step3: Find the upper half and Q3

The upper - half of the data set is 39, 40, 44, 47. The median of the upper - half (Q3) is $\frac{40 + 44}{2}=42$.

Step4: Calculate the IQR

The inter - quartile range (IQR) is Q3 - Q1. So, $IQR=42−34.5 = 7.5$.

Answer:

7.5