1. Population, Sample, and Data
Population, Sample, and Data (MAT 142)
Population, Sample, and Data

2. Population, Sample, and Data (MAT 142)
Objectives
Create a frequency distribution for a given set of data.
Construct a histogram from a frequency distribution.

3. Population, Sample, and Data (MAT 142)
Vocabulary
population
sample
data point
frequency distribution
relative frequency
grouped data
histogram

4. Constructing a Frequency Distribution
Population, Sample, and Data (MAT 142)
Constructing a Frequency Distribution
Choose either individual data points or four to eight evenly spaced intervals (if there are several different values).
Tally the number of data point or each individual point or in each interval.
List the frequency of each individual data point or interval.
Find the relative frequency of each data point (or interval) by dividing the relative frequency by the total number of data points.

5. Make a frequency distribution to summarize the ages of the students in this class and construct a histogram to illustrate the data.

6. The weights, in pounds, of 35 packages of ground beef at the Cut Above Market were as follows:
1.0
1.9
2.5
1.2
2.0
0.7
1.3
2.4
1.1
3.3
0.8
2.3.
1.7
2.8
1.4
3.0
0.9
2.2
1.5
3.2
2.1
2.7
1.8
1.6
2.3
2.6
2.9
0.5

7. Organize the given data by creating a frequency distribution
Organize the given data by creating a frequency distribution. (Group the data into six intervals.)
1.0
1.9
2.5
1.2
2.0
0.7
1.3
2.4
1.1
3.3
0.8
2.3.
1.7
2.8
1.4
3.0
0.9
2.2
1.5
3.2
2.1
2.7
1.8
1.6
2.3
2.6
2.9
0.5

8. 1.0
1.9
2.5
1.2
2.0
0.7
1.3
2.4
1.1
3.3
0.8
2.3.
1.7
2.8
1.4
3.0
0.9
2.2
1.5
3.2
2.1
2.7
1.8
1.6
2.3
2.6
2.9
0.5
Construct a histogram to represent the data.

9. In order to examine the effects of a new registration system, a campus newspaper asked freshmen how long they had to wait in a registration line. The frequency distribution on the next slide summarizes the responses. Construct a histogram to represent the data.

10. x = time in minutes
number of freshmen
0 < x ≤ 10
101
10 < x ≤ 20
237
20 < x ≤ 30
169
30 < x ≤ 40 79
40 < x ≤ 50 51
50 < x ≤ 60 63

11. The frequency distribution below lists the number of hours per day that a randomly selected sample of teenagers spent watching television.
x = hours per day
frequency
(number of teens)
0 ≤ x < 2 23
2 ≤ x < 4 45
4 ≤ x < 6 53
6 ≤ x < 8 31
8 ≤ x ≤ 10 17

12. Population, Sample, and Data (MAT 142)
Where possible, determine what percent of the teenagers spent the following number of hours watching television.
less than 4 hours
not less than 6 hours
at least 2 hours
less than 2 hours
at least 4 hours but less than 8 hours
more than 3.5 hours

13. Population, Sample, and Data (MAT 142)
Count the number of each color of m&ms and make a frequency distribution to summarize the information and construct a histogram to illustrate the data.