The following data values are the per capita operating expenditures on public libraries for each of the 50 U.S. states and Washington, D.C. for a particular year. 16.41 16.64 16.71 18.77 26.07 26.40 26.55 26.60 26.80 28.25 30.70 31.69 33.74 34.53 35.53 37.09 37.25 37.37 37.61 38.19 44.16 45.02 48.22 49.39 50.21 51.81 53.39 54.03 59.62 59.95 67.47 LAUSE SALT (a) Summarize this data set with a frequency distribution. Operating Expenditures (per capita) Frequency 16 14 12 10 8 6 4 10 to < 20 2 0 20 to < 30 30 to 40 Construct the corresponding histogram. 40 to < 50 50 to < 60 18.87 19.95 20.43 21.92 60 to < 70 Frequency 0 10 20 30 40 50 60 70 Per Capita Operating Expenditures Frequency 16 14 12 10 8 6 4 2 24.21 25.05 25.77 31.77 33.23 33.33 33.51 38.47 41.34 42.65 43.08 54.97 55.88 56.36 58.52 0 10 20 30 40 50 60 70 Per Capita Operating Expenditures @ (b) Use the histogram from part (a) to find the approximate values of the following percentiles. (0) 50th The 50th percentile is between per capita operating expenditures of -Select-- . (H) 70th The 70th percentile is between per capita operating expenditures of ---Select-- 26.01 (iii) 10th The 10th percentile is between per capita operating expenditures of ---Select--- v (iv) 90th The 90th percentile is between per capita operating expenditures of ---Select--- (v) 40th The 40th percentile is between per capita operating expenditures of -Select-- O Frequency 16 14 12 10 8 6 4 2 0 10 20 30 40 50 60 70 Per Capita Operating Expenditures O @ 16 14 12 10 Freque 8 6 4 2 0 10 20 30 40 50 60 Per Capita Operating Expenditures

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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The following data values are the per capita operating expenditures on public libraries for each of the 50 U.S. states and Washington, D.C. for a particular year.
16.41 16.64 16.71 18.77 18.87 19.95 20.43 21.92
26.07 26.40 26.55 26.60 26.80 28.25
O
33.74 34.53 35.53 37.09 37.25 37.37
44.16 45.02 48.22 49.39 50.21
59.62 59.95 67.47
USE SALT
(a) Summarize this data set with a frequency distribution.
Operating Expenditures (per capita) Frequency
Frequency
10 to < 20
20 to 30
30 to 40
40 to 50
50 to 60
Construct the corresponding histogram.
60 to < 70
51.81 53.39
0 10 20 30 40 50 60
Per Capita Operating Expenditures
30.70 31.69
70
O
37.61 38.19 38.47 41.34 42.65 43.08
54.03
Frequency
24.21 25.05 25.77 26.01
16
14
12
10
31.77
54.97 55.88 56.36
0 10 20 30 40 50 60
Per Capita Operating Expenditures
(b) Use the histogram from part (a) to find the approximate values of the following percentiles.
(i) 50th
The 50th percentile is between per capita operating expenditures of ---Select--- ✓
33.23 33.33 33.51
(ii) 70th
The 70th percentile is between per capita operating expenditures of ---Select---
(iii) 10th
The 10th percentile is between per capita operating expenditures of ---Select--- ✓
(iv) 90th
The 90th percentile is between per capita operating expenditures of ---Select---
(v) 40th
The 40th percentile is between per capita operating expenditures of ---Select--- ✓
58.52
70
☹
O
Frequency
16
14
12
10
0 10 20 30 40 50 60
Per Capita Operating Expenditures
70
Ⓡ
O
Frequency
16
14
12
10
2
10 20 30 40 50 60 70
Per Capita Operating Expenditures
0
Transcribed Image Text:The following data values are the per capita operating expenditures on public libraries for each of the 50 U.S. states and Washington, D.C. for a particular year. 16.41 16.64 16.71 18.77 18.87 19.95 20.43 21.92 26.07 26.40 26.55 26.60 26.80 28.25 O 33.74 34.53 35.53 37.09 37.25 37.37 44.16 45.02 48.22 49.39 50.21 59.62 59.95 67.47 USE SALT (a) Summarize this data set with a frequency distribution. Operating Expenditures (per capita) Frequency Frequency 10 to < 20 20 to 30 30 to 40 40 to 50 50 to 60 Construct the corresponding histogram. 60 to < 70 51.81 53.39 0 10 20 30 40 50 60 Per Capita Operating Expenditures 30.70 31.69 70 O 37.61 38.19 38.47 41.34 42.65 43.08 54.03 Frequency 24.21 25.05 25.77 26.01 16 14 12 10 31.77 54.97 55.88 56.36 0 10 20 30 40 50 60 Per Capita Operating Expenditures (b) Use the histogram from part (a) to find the approximate values of the following percentiles. (i) 50th The 50th percentile is between per capita operating expenditures of ---Select--- ✓ 33.23 33.33 33.51 (ii) 70th The 70th percentile is between per capita operating expenditures of ---Select--- (iii) 10th The 10th percentile is between per capita operating expenditures of ---Select--- ✓ (iv) 90th The 90th percentile is between per capita operating expenditures of ---Select--- (v) 40th The 40th percentile is between per capita operating expenditures of ---Select--- ✓ 58.52 70 ☹ O Frequency 16 14 12 10 0 10 20 30 40 50 60 Per Capita Operating Expenditures 70 Ⓡ O Frequency 16 14 12 10 2 10 20 30 40 50 60 70 Per Capita Operating Expenditures 0
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