Question

the following data points represent the number of remote controllers each student in trias video game club owns. answer 2 questions about the data set. 1. sort the data from least to greatest. 0 0 0 1 2 2 4 5 7 8 10 2. find the interquartile range (iqr) of the data set. remote controllers

Explanation:

Step1: Find the median

There are 11 data - points. The median is the 6th value when the data is sorted. So, the median $Q_2 = 2$.

Step2: Find the lower half and its median ($Q_1$)

The lower half of the data is $0,0,0,1,2$. The median of this lower - half ($Q_1$) is the 3rd value, so $Q_1 = 0$.

Step3: Find the upper half and its median ($Q_3$)

The upper half of the data is $4,5,7,8,10$. The median of this upper - half ($Q_3$) is the 3rd value, so $Q_3 = 7$.

Step4: Calculate the IQR

The inter - quartile range $IQR=Q_3 - Q_1$. Substituting the values of $Q_1$ and $Q_3$, we get $IQR = 7-0=7$.

Answer:

7