Homework Problems for Statistics
23.    Find the mean of the following numbers: 8, 39, 88, 96, 74, 37. 24.    Find the mean of the following numbers: 30, 43, 125, 52, 62, 120. 42.    Judy scored the following in a gymnastics event: 9.5, 9.2, 9.4, 9.2, 9.5, 9.7, and 9.3.   Find the mode of the scores?
1.    Find the mean of the following numbers: 78, 34, 98, 56, 78, 77, 90.
2.   
Find the mean of the following numbers: 23, 43, 25, 82, 11, 19.
3.   
Find the mean of the following numbers: 88, 32, 25, 25, 99, 34, 81, 34.
4.    A student scores 76, 82, 91 and 91 on four tests.  
What score does the student need on the fifth test to have an average test score of 87?
5.    A student scores 73, 79, 84 and 82 on four tests.  
What score does the student need on the fifth test to have an average test score of 74?
6.    A student scores 62, 61, 78, 77 and 92 on five tests.  
What score does the student need on the sixth test to have an average test score of 70?
7.    A student scores 92, and 71 on two tests.  
What score does the student need on the third test to have an average test score of 83?
8.   
Find the weighted mean for the following numbers:   5,5,7,7,7,7,8,8,8,2,2,2.
Round to the nearest tenth.
9.   
Find the weighted mean for the following numbers:   3,3,3,11,11,11,11,5,5,5,6,6,6,6.
Round to the nearest tenth.
10.    Find the median of the following numbers:   65, 78, 67, 5, 99.
11.    Find the median of the following numbers:   46, 98, 33, 45, 91, 98.
12.    Find the median of the following numbers:   38, 81, 74, 83, 74, 34, 32, 85.
13.    Find the median of the following numbers:   8, 32, 98, 66, 21, 15, 19, 65, 71.
14.    Find the median of the following numbers:   7, 9, 12, 13, 12, 3, 2, 17.
15.    Find the median of the following numbers:   39, 22, 12, 75, 54.
16.    Find the mode of the following numbers:   22, 54, 55, 44, 38, 22, 45, 22.
17.    Find the mode of the following numbers:   4, 89, 52, 4, 52, 98.
18.    Find the mode of the following numbers:   29, 34, 22, 34, 52, 8.
19.    Find the mode of the following numbers:   3, 7, 11, 8, 11, 8, 11, 11.
20.    Find the mode of the following numbers:   2, 8, 8, 8, 1, 2, 3, 3, 3.
21.    Find the mode of the following numbers:   4, 89, 54, 23, 38, 22, 45, 28, 46, 120.
22.    Find the mode of the following numbers:   8, 7, 9, 8, 7, 7, 6, 11, 11, 4.
25.    A bowler scores 240, 273, 181, 234, and 182 during a tournament.   What is the bowlers average score for the tournament?
26.    A basketball player scores 25, 31, 26, 19, and 24 in five separate games.   What is the players average score for those games?
27.    A student scores 92, 89, 85, and 90 on four tests during a semester.   What score does the student need on the fifth test to get in A in the class if an A is 90 percent or higher?
28.    Find the weighted mean for the following numbers: 6, 6, 1, 1, 1, 7, 7, 8, 8, 8, 12, 12, 12.   Round to the nearest tenth.
29.    Find the weighted mean for the following numbers: 20, 20, 30, 30, 10, 10, 10, 10, 40, 40, 40.   Round to the nearest tenth.
30.    Find the median for problem 25.
31.    Find the median for problem 26.
32.    Find the median day for the month of July.  
(hint: 1,2,3,4,5,.......28,29,30,31).
33.    Find the median of the 12 months.   (hint: 1,2,3,4,5,.......11,12).
34.    Find the median week of a typical year with 52 weeks.
 
(hint: 1,2,3,4,5,.......51,52).
35.    Find the median of a typical year with 365 days.  
(hint: 1,2,3,4,5,.......364,365).
36.    The following temperatures were recorded in Chicago for the week: 22, 23, 27, 23, 24, 22, and 22.   Find the mode, median, and mean for the week.   Round to nearest tenth.
37.    The following temperatures were recorded in Los Angeles for a week: 96, 94, 97, 96, 99, 100, and 96.   Find the mode, and mean for the week.   Round to nearest tenth.
38.    Tom had the following scores in a bowling tournament 240, 273, 236, 240, 234, and 256.   Find the mode of the scores?
39.    Bob had the following scores in a bowling tournament 250, 256, 267, 247, 250, and 281 during a tournament.   Find the mode of the scores?
40.    Sally had the following scores in a bowling tournament 272, 266, 262, 264, 262, and 256 during a tournament.   Find the mode of the scores?
41.    For problems 38, 39, and 40 line up all the scores together and find the mode for Tom's, Bob's and Sally's scores combined.
43.    Heather scored the following in the same gymnastics event: 9.6, 9.3, 9.4, 9.1, 9.3, 9.5, and 9.7.   Find the mode of the scores?
44.    Sarah scored the following in the same gymnastics event: 9.3, 9.5, 9.6, 9.4, 9.7, 9.5, and 9.3.   Find the mode of the scores?
45.    In problems 42, 43, and 44 find out who won the gymnastics event and answer which method you used, mode, median, or mean, to reach your conclusion.
Extra Homework Solutions
1.    73
2.    33.8
3.    52.25
4.    95
5.    52
6.    50
7.    86
8.    5.7
9.    6.6
10.    67
11.    68.5
12.    74
13.    32
14.    10.5
15.    39
16.    22
17.    4 and 52
18.    34
19.    11
20.    3 and 8
21.    No mode
22.    7
23.    57
24.    72
25.    222
26.    25
27.    94 or higher
28.    6.8
29.    23.6
30.    234
31.    25
32.    16
33.    6.5
34.    26.5
35.    183
36.    22, 23, 23.3
37.    96, 96.9
38.    240
39.    250
40.    262
41.    256
42.    Bimodal:   9.2 and 9.5
43.    9.3
44.    Bimodal:   9.3 and 9.5
45.    Since the mean is the average score, find the mean of each problem.   Sarah won.