Math Statistics

, Statistics – Fall 2020 - Week 6 – Homework Assignment

1. Find the mean, median, and mode of each set of numbers below. (5 pt. each)

a) 2, 4, 5, 7, 10, 3, 6, 8, 3

b) 4, 5, 7, 9, 4, 6, 4, 8, 9, 3

c) 10, 12, 14, 16, 18, 10, 15, 13

d) 105, 107, 103, 106, 106, 102, 101

e) 64, 66, 65, 61, 67, 61, 57

2. Identify the following as nominal level, ordinal level, interval level, or ratio level data (2 pt. each)

a) Suburbs, City, Town

b) Very satisfied, unsatisfied, neutral, satisfied, very satisfied

c) SAT score (200-900) and credits scores (300-850)

d) What is your daughter’s current height?

e) The numbers on a team’s jersey

3. Twenty students were asked how many books they had read in the last 6 months. Their responses are as follows:

10, 12, 13, 12, 12, 15, 10, 13, 11, 13, 14, 15, 10, 10, 15, 14, 13, 14, 16, 14

Please create a table that shows the frequency, relative frequency, cumulative frequency, and percentage of the sample. (20 pt.)

4. 30 seniors were asked how many hours they spend studying for the statistics class. Please put the responses in a frequency chart with four different classes (i.e. 0-5). Find the mean of each class (interval), (25 pt.) Remember: The intervals in grouped data are classes.

1	15	11	10	7
3	1	9	7	2
5	20	7	2	19
18	11	2	13	8
8	6	8	17	3
10	16	5	5	10

5. Find the mean, variance, and standard deviation for the following numbers. (10 pt)

1	5	8	3	7
3	1	9	7	2

6. 20 people were asked how many miles the nearest mall to their home is. The data are as follows:

2; 5; 7; 3; 2; 4; 5; 5; 2; 4; 1; 3; 5; 2; 3; 2; 4; 5; 1, 3

Please create a table that shows the frequency, relative frequency, cumulative frequency, and percentage of the sample. (10 pt.)