Paper 1 · descriptive statistics

A group of twenty people played a game. The frequency distribution of their scores is: score 1 with frequency 2, score 2 with frequency 5, score 4 with frequency 7, and score $x$ with frequency 6. If the mean score is 5, what is the value of $x$ ?

Model answer

Also accepted: x=10, x = 10

Explanation: Total frequency = 2+5+7+6 = 20. Since the mean is 5, the sum of all scores is 20x5 = 100. The sum is also 2(1)+5(2)+7(4)+6x = 40+6x. Setting 40+6x=100 gives 6x=60, so x=10.

Derived from ZIMSEC Statistics Paper 1, November 2018, Q1

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A group of twenty people played a game. The frequency distribution of their scores is: score 1 with frequency 2, score 2 with frequency 5, score 4 with frequency 7, and score xxx with frequency 6. If the mean score is 5, what is the value of xxx?

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A group of twenty people played a game. The frequency distribution of their scores is: score 1 with frequency 2, score 2 with frequency 5, score 4 with frequency 7, and score $x$ with frequency 6. If the mean score is 5, what is the value of $x$ ?