Question

The acreage (in thousands of acres) of the 39 U.S. National Parks is shown here. Construct a frequency distribution for the data using eight classes.

41 66 233 775 169
36 338 233 236 64
183 61 13 308 77
520 77 27 217 5
650 462 106 52 52
505 94 75 265 402
196 70 132 28 220
760 143 46 539

Answer 1

Answer on Question #49218 – Math – Statistics and Probability

The acreage (in thousands of acres) of the 39 U.S. National Parks is shown here. Construct a frequency distribution for the data using eight classes.

41 66 233 775 169

36 338 233 236 64

183 61 13 308 77

520 77 27 217 5

650 462 106 52 52

505 94 75 265 402

196 70 132 28 220

760 143 46 539

Solution

The acreage list above had a minimum value of 5 and a maximum value of 775, so the range is

$$775 - 5 = 770.$$

We use eight classes, so class width is

$$\frac{770}{8} = 96.25.$$

Rounded up, 96.25 becomes $w = 97$.

The lower class limits are 5; $5 + 97 = 102$; $102 + 97 = 199$; $199 + 97 = 296$; $296 + 97 = 393$; $393 + 97 = 490$;

$$490 + 97 = 587; 587 + 97 = 684.$$

The lower class limits are

$$101; 198; 295; 392; 489; 586; 683; 775.$$

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