Question

for exercises 1 and 2, use the description to answer the questions. yuzuki surveyed her teammates about the number of miles they run each day. their responses were 2, 4, 1, 3, 3, 5, 2, 2, 4, 3, and 6 miles. 1. what is the range and interquartile range of the data?

Explanation:

Step1: Arrange data in ascending order

1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 5, 6

Step2: Calculate the range

The range is the difference between the maximum and minimum values. Range = 6 - 1 = 5

Step3: Find the median (Q2)

There are 12 data - points. The median is the average of the 6th and 7th values. Q2=$\frac{3 + 3}{2}=3$

Step4: Find the lower half and Q1

The lower half is 1, 2, 2, 2, 2, 3. The median of the lower half (Q1) is 2.

Step5: Find the upper half and Q3

The upper half is 3, 4, 4, 5, 6. The median of the upper half (Q3) is 4.

Step6: Calculate the inter - quartile range (IQR)

IQR = Q3 - Q1 = 4 - 2 = 2

Answer:

The range is 5 and the interquartile range is 2.