## Calculating Statistics Exercise

1. The following scores are from a test out of 20.

 Name of Student Test Score Chloe Jones 15 Anaru Rapana 13 Berat Babich 12 Junior Reynoldsen 16 Sanjay Dravid 9 Kenny Yang 18 Seini Tua 15

a. What is the mean of the student scores?
b. What is the median of the scores?
c. What is the mode of the test scores?
d. What would be the range of the scores?

 2. A netball team plays 10 games and scores the following number of goals: 52, 53, 60, 52, 51, 63, 44, 51, 52, 43 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?
 3. A golfer plays eight rounds of golf in a week. His scores are: 71, 79, 78, 65, 75, 77, 74, 74, 65 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 in his next round to reduce his mean score to 72?

4. For each of the following scores, find:

a. the median
b. the mode
c. the mean
d. the range

(i) 20, 20, 40, 20, 30

(ii) 132, 198, 100, 98, 102, 103, 95, 132, 112

(iii) 6, 9, 3, 6, 2, 1, 9, 2, 8, 7

5. A girl had a partime job at a supermarket. Her weekly pay for 8 week's work was:

\$43.50, \$52.80, \$41.70, \$54.10, \$55.50, \$43.00, \$50.20, \$49.90

a. What was her mean weekly pay?

b. What was her median pay?

c. She would have to work really hard in the eleventh week to raise her mean weekly earnings to \$50.00.

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

6. The following data shows the exam results as percentages of 30 students.

51, 42, 23, 72, 81, 50, 61, 82, 33, 97, 48, 55, 76, 52, 91,

71, 58 , 54, 88 ,71 ,67, 51, 64, 72, 48, 63, 70, 89, 91, 47

a. Copy and complete the following stem and leaf graph to show these scores

b. Use your graph to find the range of these scores.

c. Use the graph to find the median of these scores.