1. MAT 142 Lecture Video Series

2. Population, Sample, and Data

3. Objectives Create a frequency distribution for a given set of data. Construct a histogram from a frequency distribution.

4. Vocabulary population sample data point frequency distribution relative frequency grouped data histogram

5. Constructing a Frequency Distribution 1.Choose either individual data points or four to eight evenly spaced intervals (if there are several different values). 2.Tally the number of data point or each individual point or in each interval. 3.List the frequency of each individual data point or interval. 4.Find the relative frequency of each data point (or interval) by dividing the relative frequency by the total number of data points.

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

7. The university library randomly selected 30 students to ask the question “How many times per week do you come to the library?”. Their answers are as follows. 1 5211 4 2154 5 2512 3 4112 3 5412 2 4512 Create a frequency distribution for the above data.

8. Library visit data: 1 5211 4 2154 5 2512 3 4112 3 5412 2 4512 Use your frequency distribution for the above data to create a histogram.

9. The weights, in pounds, of 35 packages of ground beef at the Fry’s Marketplace were as follows: 1.0 1.92.51.22.0 0.7 1.32.41.13.3 2.4 0.82.31.71.0 2.8 1.43.00.91.1 1.4 2.21.53.22.1 2.7 1.81.62.32.6 1.3 2.91.91.20.5

10. Organize the given data by creating a frequency distribution. (Group the data into six intervals.) 1.0 1.92.51.22.0 0.7 1.32.41.13.3 2.4 0.82.31.71.0 2.8 1.43.00.91.1 1.4 2.21.53.22.1 2.7 1.81.62.32.6 1.3 2.91.91.20.5

11. 1.0 1.92.51.22.0 0.7 1.32.41.13.3 2.4 0.82.31.71.0 2.8 1.43.00.91.1 1.4 2.21.53.22.1 2.7 1.81.62.32.6 1.3 2.91.91.20.5 Construct a histogram to represent the data.

12. 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.

13. x = time in minutesnumber of freshmen 0 < x ≤ 10101 10 < x ≤ 20237 20 < x ≤ 30169 30 < x ≤ 4079 40 < x ≤ 5051 50 < x ≤ 6063

14. x = hours per day frequency (number of teens) 0 ≤ x < 223 2 ≤ x < 445 4 ≤ x < 653 6 ≤ x < 831 8 ≤ x ≤ 1017 The frequency distribution below lists the number of hours per day that a randomly selected sample of teenagers spent watching television.

15. 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 x = hours per day frequency (number of teens) 0 ≤ x < 223 2 ≤ x < 445 4 ≤ x < 653 6 ≤ x < 831 8 ≤ x ≤ 1017

16. 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.

17. Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University