Statictis Assignment

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STAT200 Week 2 Homework

For problems 1 and 4 use a, b, c, d values next to your name in the table:

Student

a

b

c

d

Harris

9

11

10

12

Jacobs

10

12

15

8

Johnson

11

9

14

6

Kurata

13

7

9

15

Mendoza

14

6

8

10

Monyei

15

5

8

12

Munshi

4

12

10

15

Pickering

8

11

14

20

Rager

20

10

12

8

Ritchey

12

8

20

10

Rosen

20

10

25

15

Sekamwa

8

6

10

14

Turner

10

18

12

20

Student

a

b

c

d

Acopan

11

10

4

2

Ambol

10

14

8

4

Anderson

6

12

20

10

Attai

8

10

14

20

Broseker

4

6

8

10

Buchheit

12

8

4

2

Bullock

15

20

25

30

Caywood

10

20

30

40

Cox-Martinez

14

10

8

10

Eickhoff

5

10

15

20

Fox

6

12

8

10

Gray

7

11

9

6

Hampton

8

10

12

14

Problem 1. Table below shows data collected about eye color of students in one class. (for a, b, c, d, use numbers from the table above)

Eye Color

Number of students

Brown

a

Blue

b

Green

c

Gray

d

Complete the column for relative frequency

Eye Color

Number of students

Relative Frequency

Brown

a

Blue

b

Green

c

Gray

d

Problem 2. Recorded set of data has maximum value 21. However, when the data was entered into the computer, this value was entered as 41. Which characteristic of central tendency will be affected by this mistake: mean, median or both?

Answer: Mean

Problem 3. If you know the minimum, the maximum, and variance of a distribution. Which of the following characteristics can you determine (select one): mean, median, interquartile range, standard deviation?

Problem 4. Find Mean and Median for the following data collection: (for a, b, c, d, use numbers from the table in the beginning of the homework)

a, b+1, c+2, d+3, a+4, b+5

Problem 5. Suppose research was conducted: how many t-shirts people have. 80 people were asked. Results of this poll are shown below:

What is percentage of people who own three or more t-shirts?

Number of T-shirts

1 2 3 4 5 6 5 10 22 20 15 8