Question

Find x and y so that the ordered data set has a mean of 42 and a median of 35, 17, 22, 26, 29, 34, x, 42, 67, 70, y​

Answer 1

Answer:

Because the median is the average of the 5th & 6th items of data (because n = 10), the 6th item, x, must be 36 so that the median comes out to be 35.

Then the sum of the first 9 items is 307 + 36 =343; the sum of all ten items is 343 + y

and mean = (343 + y) /10 = 42. This gives y = 420 - 343 = 77

Answer 2

Answer:

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