Question

For Each Data Set, Determine the median, the first and third Quartiles, and the interquartile Range.

1. Texts per day: 24, 53, 38, 12, 31, 19, 26
2. Daily Attendance at the water park: 346, 250, 433, 369, 422, 298 this is 45 points! :D

Answer 1

1. First of all arrange the data set in either ascending or descending order.
12, 19, 24, 26, 31, 38, 53. N = 7 (number of data items)
Median position = 1/2(N + 1)th item = 1/2(7 + 1)th item = 1/2(8)th item = 4th item = 26
First quatile = 1/4(N + 1)th item = 1/4(7 + 1)th item = 1/4(8)th item = 2nd item = 19
Third quatile = 3/4(N + 1)th item = 3/4(7 + 1)th item = 3/4(8)th item = 6th item = 38
Interquatile range = Third quartile - first quatile = 38 - 19 = 19