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? 2. what do the range and interquartile range tell you about the number of miles yuzukis teammates run each day?

Explanation:

Step1: Arrange data in ascending order

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

Step2: Calculate the range

Range = Maximum - Minimum = 6 - 1 = 5

Step3: Find the median (Q2)

There are 11 data - points. The median is the 6th value, so Q2 = 3.

Step4: Find Q1

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

Step5: Find Q3

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

Step6: Calculate the inter - quartile range

IQR = Q3 - Q1 = 4 - 2 = 2

for question 2:
The range (5) tells us the difference between the maximum and minimum number of miles run per day by Yuzuki's teammates. It gives an overall spread of the entire data set. The inter - quartile range (2) tells us the spread of the middle 50% of the data. It indicates that the middle half of the teammates' daily running distances vary by 2 miles, which gives an idea of the consistency of the middle - ranked runners in terms of their daily mileage.

Answer:

The range is 5 and the inter - quartile range is 2.