can you please explain where they got the number 72143 for the sum of x^2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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can you please explain where they got the number 72143 for the sum of x^2

Q3:
A survey was conducted to determine how people feel about the quality of programming available on
television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100
(extremely good quality). The data is shown below.
No
Rate (X)
No
Rate (X)
a.
1
2
31
40
11
12
55 55
Σ X = 1157 and X² = 72143
X =
3
43
13
61
1157
20
4
57.85, S² =
4462
14
3 47 13 6
6481666
Compute the mean and standard deviation of the data.
5
19
15
65
7214320 * 57.85²
7
49
17
71
8
50
18
74
9
52
19
95
= 274.24, s = √274.24 = 16.56
14250
95
Transcribed Image Text:Q3: A survey was conducted to determine how people feel about the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The data is shown below. No Rate (X) No Rate (X) a. 1 2 31 40 11 12 55 55 Σ X = 1157 and X² = 72143 X = 3 43 13 61 1157 20 4 57.85, S² = 4462 14 3 47 13 6 6481666 Compute the mean and standard deviation of the data. 5 19 15 65 7214320 * 57.85² 7 49 17 71 8 50 18 74 9 52 19 95 = 274.24, s = √274.24 = 16.56 14250 95
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