Question

which measure of central tendency best describes the situation, the ages of 7 people who auditioned for a role in a play: 17,20,22,12,15,12,21

Answer 1

Both the mean and median and they both gives a measure of 17

Explanation:

Given the data about the ages of 7 people :

17,20,22,12,15,12,21

Ordered data: 12, 12, 15, 17, 20, 21, 22

To find the median :

Median = 1/2 * (n+1)th term

n = number of observations = 7

Median = 1/2(7+1)th term

Median = 1/2 *8 = 4th term = 17

Mean = Σx / n = (sum of ages) / number of observations

Mean = 119 / 7 = 17

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