Question

the following data points represent the number of animal crackers in each kids lunch box. answer 2 questions about the data set. 1. sort the data from least to greatest. 4 4 6 7 10 11 12 14 15 2. find the interquartile range (iqr) of the data set. animal crackers

Explanation:

Step1: Calculate the median (Q2)

The data set has 9 values. The median is the 5th - value when sorted. So, Q2 = 10.

Step2: Find the lower half

The lower - half of the data set is {4, 4, 6, 7}. The median of the lower - half (Q1) is the average of the 2nd and 3rd values when sorted. So, Q1=$\frac{4 + 6}{2}=5$.

Step3: Find the upper half

The upper - half of the data set is {11, 12, 14, 15}. The median of the upper - half (Q3) is the average of the 2nd and 3rd values when sorted. So, Q3=$\frac{12+14}{2}=13$.

Step4: Calculate the IQR

IQR = Q3 - Q1. Substitute Q1 = 5 and Q3 = 13 into the formula. IQR=13 - 5 = 8.

Answer:

1. 4, 4, 6, 7, 10, 11, 12, 14, 15
2. 8