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
