Download (6-5) Compare Sets of Data Find the mean, median, mode, range

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(6-5) Compare Sets of Data
Find the mean, median, mode, range, and standard deviation of each data set that is obtained
after adding the given constant to each value.
1. 10, 13, 9, 8, 15, 8, 13, 12, 7, 8, 11, 12; + (-7)
2. 38, 36, 37, 42, 31, 44, 37, 45, 29, 30, 42; +23
Find the mean, median, mode, range, and standard deviation of each data set that is obtained
after multiplying each value by the given constant.
3. 6, 10, 3, 7, 4, 9, 3, 8, 5, 11, 2, 1; x3
4. 42, 39, 45, 44, 37, 42, 38, 37, 41, 49, 42, 36; x 0.5
5. Mark and Kyle’s long jump distances are shown.
A) Use a graphing calculator to construct a histogram
for each set of data. Then describe the shape of
each distribution.
B) Compare the data sets using either the means and
standard deviations or the five-number summaries.
Justify your choice.
6. Miguel and Stephanie are servers at a restaurant. The tips that they earned to the nearest dollar
over the past 15 workdays are shown.
A) Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then describe
the shape of each distribution.
B) Compare the data sets using either the means and standard deviation or the five-number
summaries. Justify your choice.
Find the mean, median, mode, range, and standard deviation of each data set that is obtained
after adding the given constant to each value.
7. 52, 53, 49, 61, 57, 52, 48, 60, 50, 47; +8
8. 101, 99, 97, 88, 92, 100, 97, 89, 94, 90; + (-13)
9. 27, 21, 34, 42, 20, 19, 18, 26, 25, 33; + (-4)
10. 72, 56, 71, 63, 68, 59, 77, 74, 76, 66; + 16
Find the mean, median, mode, range, and standard deviation of each data set that is obtained
after multiplying each value by the given constant.
11. 11, 7, 3, 13, 16, 8, 3, 11, 17, 3; X 4
12. 64, 42, 58, 40, 61, 67, 58, 52, 51, 49; X 0.2
13. 33, 37, 38, 29, 35, 37, 27, 40, 28, 31; X 0.8
14. 1, 5, 4, 2, 1, 3, 6, 2, 5, 1; X 6.5
15. The page counts for the books that the students choose are shown.
A) Use a graphing calculator to construct a histogram for each
set of data. Then describe the shape of each distribution.
B) Compare the data sets using either the means and standard
deviations or the five-number summaries. Justify your choice.
16. The prices for a sample of televisions are shown.
A) Use a graphing calculator to construct a histogram for
each set of data. Then describe the shape of each
distribution.
B) Compare the data sets using either the means and
standard deviations or the five-number summaries.
Justify your choice.
17. The time that it took Leon and Cassie to complete puzzles is shown.
A) Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then describe
the shape of each distribution.
B) Compare the data sets using either the means and standard deviations or the five-number
summaries. Justify your choice.
18. The total amount of money that a sample of students spent to attend the homecoming dance is
shown.
A) Use a graphing calculator to construct a box-and-whisker plot for each set of data. Then describe
the shape of each distribution.
B) Compare the data sets using either the means and standard deviations or the five-number summaries. Justify your choice.
19. Rhonda earned the following over the past month.
A) Find the mean, median, mode, range, and standard deviation of
Rhonda’s earnings.
B) A $5 bonus has been added to each of Rhonda’s daily earnings.
Find the mean, median, mode, range, and standard deviation of
Rhonda’s earnings BEFORE the $5 bonus.
20. The items Lorenzo purchased are shown.
A) Find the mean, median, mode, range, and standard deviation of the
prices.
B) A 7% sales tax was added to the price of each item. Find the mean,
median, mode, range, and standard deviation of the items without
the sales tax.
21. A salesperson has 15 SUVs priced between $33,000 and $37,000 and 5 luxury cars priced
between $44,000 and $48,000. The average price for all of the vehicles is $39,250. The salesperson
decides to reduce the prices of the SUVs by $2000 per vehicle. What is the new average price for all
of the vehicles?
22. If every value in a set of data is multiplied by a constant k, k < 0, then how can the mean,
median, mode, range, and standard deviation of the new data set be found?
23. Compare and contrast the benefits of displaying data using histograms and box-and-whisker
plots.
24. If k is added to every value in a set of data, and then each resulting value is multiplied by a
constant m, m > 0, how can the mean, median, mode, range, and standard deviation of the new data
set be found? Explain your reasoning.
25. Explain why the mean and standard deviation are used to compare the center and spread of two
symmetrical distributions and the five-number summer is used to compare the center and spread of
two skewed distributions or a symmetric distribution and a skewed distribution.
Standardized Test Practice
26. A store manager recorded the number of customers each day for a week:
{46, 57, 63, 78, 91, 110, 110}. Find the mean absolute deviation.
A)
16.8
B)
18.1
C)
19.4
D)
22.7
27. Solve the right triangle. Round each side length to the nearest tenth.
28. A research company divides a group of volunteers by age, and then randomly selects
volunteers from each group to complete a survey. What type of sample is this?
A) Simple
B) Systematic
C) Self-selected
D) Stratified
29. Which set of measures can be the measures of the sides of a right triangle?
A) 6, 7, 9
B) 9, 12, 19
C) 12, 15, 17
D) 14, 48, 50
REVIEW:
30. Using a graphing calculator to construct a histogram for the data, and use it to describe the shape
of the distribution.
23, 45, 50, 22, 37, 24, 36, 46, 24, 52, 25, 42, 25, 26, 54, 47, 27, 55,
63, 28, 29, 30, 45, 31, 55, 43, 32, 34, 30, 23, 30, 35, 27, 35, 38, 40
31. Mr. Perry’s students are selling magazine subscriptions. His students recorded the total number
of subscriptions they each sold: {8, 12, 10, 7, 4, 3, 0, 4, 9, 0, 5, 3, 23, 6, 2}. Find and interpret the
standard deviation of the data set.
Find the degree of each polynomial.
32.
2x2 + 5y – 21
33.
16xy3 – 17x2y – 16z3
34.
3ac3d + 14a2