Question

An executive’s telephone log showed the lengths of 65 calls initiated during the last week of July. 1 2 10 5 3 3 2 20 1 1 6 3 13 2 2 1 26 3 1 3 1 2 1 7 1 2 3 1 2 12 1 4 2 2 29 1 1 1 8 5 1 4 2 1 1 1 1 6 1 2 3 3 6 1 3 1 1 5 1 18 2 13 13 1 6 Click here for the Excel Data File (a) Use Excel to find the quartiles. 1st quartile Median 3rd quartile Interquartile range (b) Find the midhinge. Midhinge

Answer 1

1st quartile: 1

Median: 2

3rd quartile: 5

Explanation:

First we put in order our data:

1 , 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 8, 10, 12, 13, 13, 13, 18, 20, 26, 29

1st quartile: 1

Median: 2

3rd quartile: 5

In statistics the Midhinge is the mean of the first and third quartile:

(1+5)/3=3

The interquartile range is the rest of the 3rd quartile and 1st quartile, it describes the middle 50% of values when ordered from lowest to highest.

5-1=4