## Averages Exercise

1. A soccer team plays 15 games and scores the following number of goals:

2, 4, 3, 1, 0, 2, 1, 3, 4, 0, 1, 1, 2, 3, 3

a. What is the mean number of goals scored?
b. What would be the median number of goals scored?
c. What is the mode of these scores?

 2. A golfer plays eight rounds of golf in a week. His scores are: 73, 66, 65, 68, 74, 76, 81, 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? c. What score would be needed to reduce his mean score to 72?

3. For each of the following scores, find:

a. The median
b. The mode
c. The mean

(i) 7, 8, 4, 9, 4, 4, 6

(ii) 102, 98, 100, 98, 102, 103, 95, 102

(iii) 10, 20, 20, 20, 30

(iv) 60, 40, 30, 10, 10, 1

(v) Comment on your results from parts (iii) and (iv)

4. A girl had a newspaper delivery round. Her weekly pay for 8 week's work was:

\$13.50, \$12.80, \$11.70, \$14.10, \$5.50, \$13.00, \$10.20, \$9.90

a. What was her mean weekly pay?

b. What was her median pay?

c. She would have to work really hard in the ninth week to raise her mean weekly earnings to \$12.00.

How much would she need to earn in the ninth week to do this?