# (Solution) Math 225 Week 3 Assignment Distribution and Shape

Week 3 Assignment Distribution shape

Question

Which of the following histograms shows a skewed data set?

1.

2.

3.

4.

Question

A data set of the population densities of 15 U.S. states has a mean of 154 and a median of 94. Which of the following is a logical conclusion?

The data are skewed to the left.

The data are skewed to the right.

The data are symmetrical.

Question

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

Select all that apply

 Value Frequency 5 2 6 5 7 9 8 15 9 18 10 24 11 19 12 15 13 10 14 4

2.

 Value Frequency 13 2 14 5 15 14 16 13 17 23 18 26 19 15 20 2

3.

 Value Frequency 5 1 6 1 7 9 8 20 9 24 10 20 11 9 12 4 13 1 14 1 15 1

4.

 Value Frequency 0 4 1 12 2 23 3 28 4 17 5 7 6 6 7 3

Question

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

Select all 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

Question

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

The data are skewed to the left.

The data are skewed to the right.

The data are symmetric

Question

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

The data are skewed to the left.

The data are skewed to the right.

The data are symmetric

Question

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

Select all that apply:

 Value Frequency 7 4 8 8 9 12 10 16 11 15 12 13 13 10 14 5

2.

 Value Frequency 5 3 6 3 7 8 8 12 9 15 10 19 11 19 12 10 13 4 14 3 15 3 16 1

3.

 Value Frequency 12 1 13 2 14 3 15 13 16 10 17 26 18 25 19 15 20 5

4.

 Value Frequency 0 9 1 21 2 23 3 18 4 15 5 9 6 3 7 2

Solution:

Question

Which of the following histograms shows a skewed data set?

Question

A data set of the population densities of 15 U.S. states has a mean of 154 and a median of 94. Which of the following is a logical conclusion?