[Solved] MATH225N Week 3 Assignment: Distribution Shape

Question 1

Which of the following histograms shows a skewed data set?

Question 2

Given the following box-and-whisker plot, decide if the data is skewed or symmetrical.

Ans:

The data are skewed to the left.

The data are skewed to the right.

The data are symmetric.

Question 3

Given the following frequency table, decide if the data is skewed or symmetrical.

Value Frequency
4 1
5 10
6 8
7 28
8 50
9 69
10 72
11 62
12 52
13 23
14 16
15 6
16 3

Ans:

The data are skewed to the left.

The data are skewed to the right.

The data are symmetric.

Question 4

Which of the following frequency tables show a skewed data set? Select all answers that apply.

Value Frequency
0 2
1 11
2 30
3 22
4 15
5 12
6 6
7 1
8 1

Value Frequency
4 1
5 2
6 3
7 7
8 19
9 17
10 17
11 15
12 12
13 4
14 1
15 2

Value Frequency
13 1
14 6
15 9
16 15
17 27
18 28
19 10
20 4

Value Frequency
3 1
4 0
5 1
6 5
7 9
8 12
9 12
10 18
11 12
12 17
13 11
14 0
15 1
16 0
17 1

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