Question

the following data points represent the number of quesadillas each person at tobys tacos ate. answer 2 questions about the data set. 1. sort the data from least to greatest. 0 0 1/4 1/2 1/2 1 1 1 5/4 2 2 2. find the interquartile range (iqr) of the data set.

Explanation:

Step1: Sort the data

$0,0,\frac{1}{4},\frac{1}{2},\frac{1}{2},1,1,1,\frac{5}{4},2,2$

Step2: Find the median (Q2)

There are 11 data - points. The median is the 6th value. So, $Q2 = 1$.

Step3: Find the lower half

The lower half is $0,0,\frac{1}{4},\frac{1}{2},\frac{1}{2}$. The median of the lower half (Q1) is $\frac{1}{4}$.

Step4: Find the upper half

The upper half is $1,1,\frac{5}{4},2,2$. The median of the upper half (Q3) is $\frac{5}{4}$.

Step5: Calculate the IQR

$IQR=Q3 - Q1=\frac{5}{4}-\frac{1}{4}=1$

Answer:

1. $0,0,\frac{1}{4},\frac{1}{2},\frac{1}{2},1,1,1,\frac{5}{4},2,2$
2. 1