Question

this list shows the age at which 38 u.s. presidents died. 46 58 64 68 73 80 90 49 60 65 70 74 81 93 53 60 66 71 77 83 56 63 67 71 78 85 56 63 67 71 78 88 57 64 67 72 79 90. 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 death 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100 c. age at death 45 - 49 50 - 54 55 - 59 60 - 64 65 - 69 70 - 74 b. age at death 40 - 49 60 - 69 70 - 79 80 - 89 90 - 99 d. age at death 65 - 69 70 - 74 75 - 79 80 - 84 85 - 89 90 - 94

Explanation:

Step1: Find the minimum and maximum values

The minimum age is 46 and the maximum age is 93.

Step2: Calculate the range

Range = 93 - 46=47.

Step3: Determine the interval width for 6 intervals

Interval width = $\frac{47}{6}\approx8$.

Step4: Analyze each option

• Option a: Intervals are not of equal - width.
• Option b: Does not cover all the data well and intervals are not well - distributed.
• Option c: Intervals are of equal width (5) and cover the data range well.
• Option d: Does not cover all the data and has non - optimal interval distribution.

Answer:

C. Age at Death
45 - 49
50 - 54
55 - 59
60 - 64
65 - 69
70 - 74