Question

this list shows the number of years that 99 u.s. supreme court justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 miguel is making a frequency table of this data. he decides to group the years in intervals of 5 beginning with 0 to 4, 5 to 9, 10 to 14 and so on. how many intervals will he need all together? a. 5 b. 6 c. 7 d. 8

Explanation:

Step1: Find the maximum value

The maximum value in the data set is 36.

Step2: Calculate the number of intervals

Use the formula \(\text{Number of intervals}=\frac{\text{Max}-\text{Min}}{\text{Interval width}}+1\). Here, \(\text{Min} = 0\), \(\text{Interval width}=5\). So \(\frac{36 - 0}{5}+1=\frac{36}{5}+1 = 7.2+1=8.2\). Since the number of intervals must be an integer and we need to cover all data, we round up. So the number of intervals is 8.

Answer:

d. 8