1. For the following scores, find:
(a) The median
(b) The mode
(c) The mean(i) 9, 6, 5, 9, 3, 2 ,2, 1, 9
(ii) 201, 199, 200, 198, 201, 204, 196, 201
(iii) 20, 24, 24, 24, 40
(iv) 50.4, 30.9, 20.3, 20.1, 10.6, 5.3
|
2.
|
A weekend golfer plays seven rounds of golf in a week. His scores are: 90, 105, 92, 99, 81, 82, 81 (a) Calculate the mean, median and mode of these seven scores. (b) Which of these averages would not be very representative of his week's golf?
|
3. A woman has a part-time job. Her weekly pay for 2 months' work was:
$212.50, $311.80, $410.70, $313.10, $204.50, $212.00, $409.20, $379.60
(a) What was her mean weekly pay?
(b) What was her median pay?
4. The table below shows the number of international visitors who visited a country over the past 5 years.
Find the mean number of visitors.
|
Year
|
Number of visitors
|
|
1995
|
1 343 003
|
|
1996
|
1 441 838
|
|
1997
|
1 551 341
|
|
1998
|
1 464 766
|
|
1999
|
1 517 324
|
5. The results from a class of students at a high school in mathematics and English are listed below.
a. Find the mean, median and mode of each set of results.
| Mathematics |
56
|
45
|
89
|
34
|
94
|
21
|
45
|
65
|
69
|
34
|
12
|
23
|
59
|
65
|
30
|
56
|
45
|
58
|
76
|
89
|
| English |
46
|
47
|
83
|
84
|
92
|
52
|
76
|
85
|
47
|
47
|
22
|
58
|
53
|
73
|
80
|
54
|
35
|
32
|
66
|
99
|
b. Comment on your results.
6. a. The mean of a set of amounts of money raised by 20 charity collectors is $1245. What was the total raised by the collectors.
b. The total amount of money taken in a car salesyard on a Saturday is $25,550. If 12 cars are sold, what is the mean amount each car was sold for.
c. A group of golfers each played a round of golf for a grand total of 836 shots. If the average round was 76, how many golfers played the round?
