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Activity No 2 stat - for lecture
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Course
Values Education (Val Ed101)
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St. Paul University Manila
Academic year: 2022/2023
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Find the Range, Mean Deviation and Variance for:
a. The boys b. The girls c. The whole class
- Consider the sets of score (5,7,11,15,17) and (6,8,10,12,18)
A. Which set of score do you think will have a larger standard deviation? B. Compute the standard deviation for each set and check the result against A.
A.
x x (X – x) (X – x) 2 5 2 2 7. 7 2 4 22. 11 2 8 77. 15 2 12 163. 17 2 14 219.
B.
x x (X – x) (X – x) 2 6 10 -4 23. 8 10 -2 7. 10 10 -0 0. 12 10 1 1. 18 10 7 51.
Variance:
- Activity No.
- a) Boys: 6, 7, 8, 9, 10, 10, 16, 1) The following scores were obtained by a class of boys and girls in a 20 item test in Mathematics.
- b) Girls: 4, 5, 6, 7, 7, 8, 8, 10, 10, 12, 15,
- x x (X – x) (X – x) GIRLS
- 6 9 -3 12.
- 7 9 -2 6.
- 8 9 -1 2.
- 9 9 -0 0.
- 10 9 -0 0.
- 10 9 -0 0.
- 16 9 -6 42.
- 18 9 8 72.
- x x (X – x) (X – x) GIRLS
- 4 15 -11
- 5 15 -10
- 6 15 -9
- 7 15 -8
- 7 15 -8
- 8 15 -7
- 8 15 -7
- 10 15 -5
- 10 15 -5
- 12 15 -3
- 48 54 -6
- = - s 2 = - - = 155. - = 5. Standard deviation:- x x x-x (x-x) Group y
- 36 55 - 19 366.
- 40 55 -15 229.
- 42 55 -13 172.
- 55 55 0 0.
- 66 55 11 124.
- 72 55 17 293.
- 75 55 20 405. - = - s 2 = Variance: - - = 227.
= 6.
b) Answer the following: i. Which group performed better in the test? The best group who performed well in the test is the group y. ii. Which group has a more uniform net of scores?
iii. Which group show more variability in scores?
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Activity No 2 stat - for lecture
Course: Values Education (Val Ed101)
44 Documents
Students shared 44 documents in this course
University: St. Paul University Manila
Was this document helpful?
Activity No. 2
Name:
1) The following scores were obtained by a class of boys and girls in a 20 item test in Mathematics.
a) Boys: 6, 7, 8, 9, 10, 10, 16, 18
b) Girls: 4, 5, 6, 7, 7, 8, 8, 10, 10, 12, 15, 19
Find the Range, Mean Deviation and Variance for:
a. The boys
b. The girls
c. The whole class
GIRLS
x x (X – x) (X – x) 2
6 9.5 -3.5 12.25
7 9.5 -2.5 6.25
8 9.5 -1.5 2.45
9 9.5 -0.5 0.25
10 9.5 -0.5 0.25
10 9.5 -0.5 0.25
16 9.5 -6.5 42.25
18 9.5 8.5 72.25
GIRLS
x x (X – x) (X – x) 2
4 15 -11 121
5 15 -10 100
6 15 -9 81
7 15 -8 64
7 15 -8 64
8 15 -7 49
8 15 -7 49
10 15 -5 25
10 15 -5 25
12 15 -3 9
15 15 0 0
19 15 4 16
