Question

the average (in thousands of acres) of the 39 u.s. national parks is shown here. construct a frequency distribution for the data using eight classes.

source: the universal almanac.

-41 66 213 775 169
36 338 233 236 64
183 61 13 308 77
230 77 27 217 5
630 462 106 52 52
505 94 75 265 402
196 70 132 28 220
780 143 46 539

part: 0 / 3
part 1 of 3
to construct eight classes, the range for each class (or the class width) should be □ acres.

round your answer to the next whole number.

Explanation:

Step1: Find the maximum and minimum values

First, identify the maximum value \( \text{Max}=780 \) and the minimum value \( \text{Min}=- 41 \) from the data set.

Step2: Calculate the range

The range \( R=\text{Max}-\text{Min} \). So, \( R = 780-(-41)=780 + 41=821 \).

Step3: Determine the class width

We want \( k = 8 \) classes (since we are constructing eight - class intervals). The formula for class width \( w=\frac{R}{k}\). So, \( w=\frac{821}{8}=102.625\). Rounding up to the next whole number, \( w = 103 \).

Answer:

103