Homework 2.2 problems

A researcher wanted to determine the number of televisions in households. He conducts a survey of 4040 randomly selected households and obtains the data in the accompanying table. Complete parts​ (a) through​ (h) below. Click the icon to view the table of television counts. 1 3 2 2 1 2 1 3 3 2 1 4 2 1 3 2 2 1 1 3 1 1 2 2 2 4 0 1 4 5 2 2 2 4 2 1 1 2 2 3

1. Are these data discrete or​ continuous? Explain. The given data are discrete because they can only have whole number values. 2.Construct a frequency distribution of the data televisions frequency 0 2 1 12 2 15 3 9 4 1 5 1 3. Construct a relative frequency distribution of the data televisions frequency 0 0.05 1 0.3 2 0.375 3 0.225 4 0.025 5 0.025 Describe the shape of the distribution skewed right

The data in the accompanying table represent the ages of the presidents of a country on their first days in office. Complete parts​ (a) and​ (b). 40 48 51 52 54 56 57 61 65 44 49 51 54 55 56 57 61 67 45 49 51 54 55 56 59 62 69 46 50 51 54 55 57 60 64 47 50 52 54 55 57 61 64 51 total

4-0 4 4-5 6 7 8 9 9 5-0 0 1 1 1 1 2 2 4 4 4 4 4 5-5 5 5 5 6 6 6 7 7 7 7 9 6-0 1 1 1 2 4 4 6-5 7 9 President Ages 4 - 0044 4 - 5567899 5 - 0011112244444 5 - 5555666777799 6 - 0111244 6 - 5779 ​Legend: 4​ - 0 represents 40 years bell shaped distribution

Determine the original set of data. 1-0 1 8 2-1 4 4 7 8 3-3 5 5 5 7 4-0 1 ​Legend: 1-0 represents 10

The original set of data is 10, 11, 18, 21, 24, 24, 27, 28, 33, 35, 35, 35, 37, 38, 40, 41

Violent crimes include​ murder, forcible​ rape, robbery, and aggravated assault. The data to the right represent the​ violent-crime rate​ (crimes per​ 100,000 population) by region of a certain country. Complete parts​ (a) through​ (f) below.

​(a) If thirteen classes are to be​ formed, choose an appropriate lower class limit for the first class and a class width. An appropriate lower class limit for the first class is 100 with a class width of 100 Describe the shape of the distribution. Choose the correct answer below the distribution is skewed right because the right tail is longer than the left tail 100's 176.4 191.3 128.4 163.1 136.1 200's 285.7 252.2 255.5 258.6 227.7 280.8 272.4 236.7 215.4 248.1 291.3 225.6 285.5 236.1 241.9 300's 399.8 375.9 300.2 395.7 327.3 342.7 342.1 319.1 374.4 325.4 400's 446.6 492.3 405.1 430.8 496.4 468.8 460.6 500's 529.1 507.3 582.9 504.1 504.6 600's 667.5 643.7 614.6 612.5 670.7 696.4 626.1 615.6 700's 800's 900's 1000's 1100's 1200's 1300's 1345.2