Question

this list shows the age at which 43 u.s. presidents began their terms. before you can make a frequency table, you need to decide how to set up the age intervals. what is the best way to group these ages into six intervals? a. age at start of term 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 c. age at start of term 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69

Explanation:

Step1: Find the range of data

The smallest value in the data - set of ages is 42 and the largest is 69. The range is \(69 - 42=27\).

Step2: Determine interval width for 6 intervals

Since we want 6 intervals, we divide the range by 6. \(27\div6 = 4.5\). To make the intervals whole - numbered and cover all the data, we can choose an interval width of 5.

Step3: Define the intervals

Starting from 40 (a convenient starting point close to the minimum value), the intervals are: 40 - 44, 45 - 49, 50 - 54, 55 - 59, 60 - 64, 65 - 69.

Answer:

40 - 44, 45 - 49, 50 - 54, 55 - 59, 60 - 64, 65 - 69