a.
To construct graph
a.
Explanation of Solution
Given information:
Blue course: 46,25,62,45,30,43,40,46,33,53,35,38,39,40,52,42,44,48,50,35,32,55,28,58
Red course: 53,49,26,61,40,50,42,35,45,48,31,48,33,50,35,55,38,50,42,53,44,54,48,58
Graph:
Blue course:
Interpretation:
Data is relatively symmetric in both the histograms.
b.
To find mean and standard deviation.
b.
Answer to Problem 16PPS
Blue course:
Mean=42.45
Standard deviation=9.21
Red course:
Mean=45.33
Standard deviation=8.76
Explanation of Solution
Given information:
Blue course: 46,25,62,45,30,43,40,46,33,53,35,38,39,40,52,42,44,48,50,35,32,55,28,58
Red course: 53,49,26,61,40,50,42,35,45,48,31,48,33,50,35,55,38,50,42,53,44,54,48,58
Formula used:
Mean=
Where, n=total number of terms,
Standard deviation,
Where
Calculation:
Blue course:
Substituting the value,
Mean is,
For standard deviation,
Value | Difference= | ( |
46 | 3.54 | 12.54 |
25 | -17.45 | 304.79 |
62 | 19.54 | 381.87 |
45 | 2.54 | 6.46 |
30 | 12.45 | 155.21 |
43 | 0.54 | 0.29 |
40 | -2.45 | 6.04 |
46 | 3.54 | 12.54 |
33 | -9.45 | 89.46 |
53 | -10.54 | 111.1 |
35 | -7.45 | 55.62 |
38 | -4.45 | 19.87 |
39 | -3.45 | 11.96 |
40 | -2.45 | 6.04 |
52 | 9.54 | 91.04 |
42 | 0.45 | 0.21 |
44 | 1.54 | 2.37 |
48 | 5.54 | 30.71 |
50 | 7.54 | 56.87 |
35 | -7.45 | 55.62 |
32 | -10.45 | 109.37 |
55 | 12.54 | 157.29 |
28 | -14.45 | 209.04 |
58 | 15.541 | 241.54 |
Red course:
For standard deviation,
Value | Difference= | ( |
53 | 7.66 | 58.77 |
49 | 3.66 | 13.44 |
26 | 19.33 | 373.77 |
61 | 15.66 | 245.44 |
40 | 5.33 | 28.44 |
50 | 4.66 | 21.77 |
42 | 3.33 | 11.11 |
35 | -10.33 | 106.77 |
45 | -0.33 | 0.11 |
48 | 2.66 | 7.11 |
31 | -14.33 | 205.44 |
48 | 2.66 | 7.11 |
33 | -12.33 | 152.11 |
50 | 4.66 | 21.77 |
35 | -10.33 | 106.77 |
55 | 9.66 | 93.44 |
38 | -7.33 | 53.77 |
50 | 4.66 | 21.77 |
42 | -3.33 | 11.11 |
53 | 7.66 | 58.77 |
44 | -1.33 | 1.77 |
54 | 8.66 | 75.11 |
48 | 2.66 | 7.11 |
58 | 12.66 | 160.44 |
Chapter 10 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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