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Median

CONCEPTS

Median

• The middle number in a data set (or the average of the middle 2 numbers if there is an even set of numbers)


Tips

• Write out the sequence of numbers iN ORDER to find the median.

PRACTICE PROBLEMS

Question 1 There are 7 terms in a series are 1 3 5 7 9 11 13. What' the difference between the mean and median?


-- Answer -- 7

Mean = (1 + 3 + 5 + 7 + 9 + 11 + 13) / 7 = 7

Median = 7 (the middle number)



Question 2 10 kids went to school and during the year, 1 kid went 230 days, 3 kids went 232 days 1 kid went 235 days, 2 kids went 236 days, and 3 kids went 240 days. What's the median?


-- Answer -- 235.5

Write down the group of numbers: 230, 232, 232, 235, 235, 236, 236, 240, 240, 240

Put the group of numbers in order: same as above

Choose the middle number: Since there are an even number of number, the average of the middle 2 numbers is used, (235+236)/2 = 235.5



Question 3 Which 10 digit interval must contain the median test score (see figure below)?



-- Answer -- 71–80

There are 30 test scores (see 41–100 bar on the right). The median would be the average of the 15th & 16th test scores.

41–50 = 2, 51–60 = 3, 61–70 = 5, 71–80 = 8, 81–90 = 6, 91–100 = 6

The 15th & 16th test scores lies in the range, 71–80.

ACT PRACTICE PROBLEMS

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