Calculate the variance for the distribution given in the attached,  A. 429.84 / B. 492.98 / C. 924.86 / D. 942.99

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Calculate the variance for the distribution given in the attached, 

A. 429.84 / B. 492.98 / C. 924.86 / D. 942.99

1. You are given a Grouped Frequency Distribution Table of the speed in miles per hour (mph) attained
by each observed Formula One driver from zero (0) to seven (7) seconds, during the first practice
session in preparation for the Abu Dhabi Grand Prix of 2022 as shown in Figure 1 below:
X²
Interval
30 < 48
< 66
48
66 < 84
84 < 102
102 < 120
TOTALS
Frequency
[f]
3
6
8
6
2
Cumulative
Frequency
3
9
17
23
25
Midpoint
[X]
39
57
75
93
111
1521
3249
5625
8649
12321
31365
fX
117
342
600
558
222
1839
fx²
4563
19494
45000
51894
24642
145593
Transcribed Image Text:1. You are given a Grouped Frequency Distribution Table of the speed in miles per hour (mph) attained by each observed Formula One driver from zero (0) to seven (7) seconds, during the first practice session in preparation for the Abu Dhabi Grand Prix of 2022 as shown in Figure 1 below: X² Interval 30 < 48 < 66 48 66 < 84 84 < 102 102 < 120 TOTALS Frequency [f] 3 6 8 6 2 Cumulative Frequency 3 9 17 23 25 Midpoint [X] 39 57 75 93 111 1521 3249 5625 8649 12321 31365 fX 117 342 600 558 222 1839 fx² 4563 19494 45000 51894 24642 145593
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