Question

Seetion 2-1 Organizing Data47 88 88 110 88 s0 69 102 78 70 55 79 85 80 100 60 90 77 55 75 55 54 60 7S 64 105 56 71 70 65 72 Souece New York Tisses Almanac 28.5 14.6 30.1 14 0.8 11.6 13 I1. GRE Scores at Top-Ranked Engineering Schools The average quantitative GRE scores for the top 30 graduate schools of engineering are listed. Construct a grouped frequency distribution and a cumulative frequency distribution with 5 classes. 15. Presidential Vetoes The number of total vetoes exercised by the past 20 Presidents is listed below. Use the data to construct a grouped freqaency distribution and a cumulative frequency distribution with 5 classes. What is challenging about this set of data? 44 39 37 21 31 170 44 635 30 78 42 6 250 43 10 82 50 181 66 37 767 770 761 760 771 768 776 771 756 770 763 760 747 766 754 771 771 778 766 762 780 750 746 764 769 759 757 753 758 746 Source: U.S News&World Repont, Best Gradute Schoods 16. Salaries of College Coaches The data are the salaries (in hundred thousands of dollars) of a sample of 30 colleges and university coaches in the United States. Construct a frequency distribution for the data using 8 classes. (The data in this exercise will be used for Exercise 11 in Section 2-2.) 12. Airline Passengers The number of passengers (in thousands) for the leading U.S. passenger airlines in 2004 is indicated below. Use the data to construct a grouped frequency distribution and a cumulative frequency distribution with a reasonable number 164 225 225 140 188 210 238 146 201 544 550 188 415 261 164 of classes, and comment on the shape of the distribution. 4s0 183 330 857 183 381 275 578 857 684 450 385 297 390 515 91.570 86,755 81,066 70,786 55,373 42,400 40,551 21,119 16,280 14,869 13,659 13.417 13,170 12,632 11,731 10,420 10,024 9.122 7,041 6,954 6,406 6,362 5,930 5,585 5,427 17. NFL Payrolls The data show the NFL team payrolls (in millions of dollars) for a specific year Construct a frequency distribution for the payroll using 7 classes. (The data in this exercise will be used in Exercise 17 in Section 3-2.) Source: The World Aimanac and Book of Fact 13. Ages of Declaration of Independence Signers The ages of the signers of the Declaration of Independence are shown. (Age is approximate since only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) Construct a grouped frequency distribution and a cumulative frequency distribution for the data using 7 classes. (The data in this exercise will be used in Exercise 23 in Section 3-1.) 93 109 94 84 94 100 98 98 98 110 123 107 Source: NFL 41 54 47 40 39 35 50 37 49 42 70 32 44 52 39 50 40 30 34 69 39 45 33 42 44 63 60 27 42 34 50 42 52 38 36 45 35 43 48 46 31 27 55 63 46 33 60 62 35 46 45 34 53 50 50 Sounce The Universal Ailmanac 18. State Gasoline Tax The state gas tax in cents per gallon for 25 states is given below. Construct a grouped frequency distribution and a cumulative frequency distribution with 5 classes. (The data int exercise will be used for Exercise 12 in Section 2-2 235 17

Answer 1

We have given the dataset of 30 observations.

To create frequency distribution we need classes and frequency.

Here smallest observation is 746 and largest observation is 780.

We have to make five classes.

The classes will be 740-748, 748-756,.................and so on.

Now we have to find frequency of each class.

The frequency is the number of observations lies in the corresponding class.

The frequency distribution will be :

class	frequency
740-748	3
748-756	3
756-764	9
764-772	12
772-780	3
total	30

A cumulative frequency distribution is the sum of the class and all classes below it in a frequency distribution.

class	frequency	cumulative frequency
740-748	3	3
748-756	3	6
756-764	9	15
764-772	12	27
772-780	3	30
total	30