**Week 3 Assignment Distribution shape**

**Question**

Which of the following histograms shows a skewed data set?

Select all correct answers.

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?

Select the correct answer below:

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 |

Correct answer: table 2&4

**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.

Select the correct answer below:

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?

Select all correct answers.

**Answer: image 2&3**

**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?

Select the correct answer below:

The data are skewed to the left.

**The data are skewed to the right.**

The data are symmetrical.

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