Page 153 - Math Course 1 (Book 2)

Measures of Variation

Let’s Begin Your Turn!

Real World Example

Teens Twenties
Real World Example
5 4 2 0 0 0 4 6 7 9
7 3 1 0 2 2 5
LAND USE 1 2 0 3 4 5 8
The urban land in certain western and eastern 3|1 = 13 hr 1|5 = 15 hr
states is listed below as the percent of each state’s
total land, rounded to the nearest percent. A. EXERCISE
The hours per week spent exercising for
A. What is the median percent of urban land use teenagers and people in their twenties are listed
for each region? in the stem-and-leaf plot. What is the median time
spent exercising for each group?
Western States Eastern States
1 1 1 1 1 0 0 0 A. teenagers: 5 hr; twenties: 12 hr
B. teenagers: 8.9 hr; twenties: 13.9 hr
3 2 2 2 1 1 1 0 3 3 4 5 6 6 8 C. teenagers: 15 hr; twenties: 16 hr
5 4 4 0 8 9 9 9 9 9 9 D. teenagers: 21 hr; twenties: 28 hr
1 1 3 3 4 4 5 Answer
2 3 6 7
3 5
2|0 = 2% 2|7 = 27%

The median percent of urban B. EXERCISE
land use for the western states The hours per week spent exercising for teenagers
Answer is 1%. The median percent of and people in their twenties are listed in the stem-
urban land use for the eastern and-leaf plot. Compare the range for each set of
states is 9%. data.

A. teenagers: 12 hr; twenties: 28 hr
Western States Eastern States The hours of the twenties group vary more.
1 1 1 1 1 0 0 0 B. teenagers: 15 hr; twenties: 16 hr
3 2 2 2 1 1 1 0 3 3 4 5 6 6 8 The hours of the twenties group vary only
5 4 4 0 8 9 9 9 9 9 9 slightly more.
1 1 3 3 4 4 5 C. teenagers: 22.5 hr; twenties: 24 hr
2 3 6 7 The hours of the twenties group vary only
3 5 slightly more.
2|0 = 2% 2|7 = 27%
D. teenagers: 5 hr; twenties: 12 hr
The hours of the twenties group vary more.
B. Compare the range for each set of data.
Answer
The range for the west is
5% – 0% or 5%, and the range for
Answer the east is 35% – 3% or 32%. The
percents of urban land use in the
east vary more.

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