The median for the last 20 seasons was 7 wins. Arranged in order from least to greatest, the middle two seasons had wins of 6 games and 8 games. In the 21st season, the team won 14 games. What will be the new median? Show or explain your thinking.

Question

Mathematics

Allan Hahn

16 February, 09:42

The median for the last 20 seasons was 7 wins. Arranged in order from least to greatest, the middle two seasons had wins of 6 games and 8 games. In the 21st season, the team won 14 games. What will be the new median? Show or explain your thinking.

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Answers (1)

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Crystal Dalton · Answer 1

8 wins

Step-by-step explanation:

Median is the middle number of a set of numbers or data set.

For a set of twenty numbers, the middle two seasons are the 10th and 11th seasons and the median is given by the mean of both numbers.

10th season = 6 wins

11th season = 8 wins

i. e (6+8) / 2 = 14/2 = 7 wins

Now, the number of wins for the 21st season is added to this data set, the median number for 21 seasons (numbers) will be the 11th season (number).

Following the arrangement of numbers by seasons, the middle season is the 11th season and the 11th season has 8 wins.

Hence, the new median win is 8 wins.