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MEAN AND RANGE
1 Find the mean and range of these sets of numbers
(a) 5, 9, 2, 4
(b) 11, 7, 3, 9, 10
(c) 9, 2, 4
(d) 5, 3, 8, 2, 9, 3
(e) 14, 3, 8, 3
(f) 4, 5, 4, 5
(g) 11, 4, 9, 2
2 Jeff plays a game and scores 62 in game A and 53 in game B. How many does he need to
score in game C to have a mean score of 60?
3 Sarah and James both play the same game 3 times, their mean scores are the same.
Sarah scores 35, 40 and 45. James scores 40 in his first game. If the range of James'
scores is twice that of Sarah's, what were James' other two scores?
4 In a diving competition the diver is marked by 5 judges. His score is found by adding
the middle 3 scores from the judges and multiplying this total by the difficulty rating of
the dive.
(a) If Brian scores 7, 7.5, 8, 8, 8.5 with a difficulty rating of 2.6, what is his
final score?
(b) If he scores 7, 7, 7.5, 8.5, 9 with a difficulty rating of 2.3, what is his final
score?
5a) Jane has 4 cards numbere4,5,7and8.
What is her mean score?
If she adds a fifth card, but the mean is the same, what number is on the fifth card?
(b)Billy's cards are3,4and 8. What is his mean score?
If he adds another card and the mean goes up by 2, what number is on the extra card?
6.Karen has 6 cards10,10,10,10 and the othe rtwo numbers are unknown.
If the mean of the six cards is 10 and the range of the scores is 4, what are the other
2 cards?
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