Question

the number of hospital beds in a sample of 20 hospitals is shown below
construct a frequency distribution and a frequency histogram for the data set
using 5 classes. describe the shape of the histogram as symmetric, uniform,
negatively skewed, positively skewed, or none of these.
168 166 130 135 185 157 166 223 147 133
193 208 147 252 262 241 300 134 203 185

construct a frequency distribution for the data set using 5 classes.
(type whole numbers.)
class frequency
130–164 □
165–199 □
200–234 □
235–269 □
270–304 □

Explanation:

Step1: Count data in 130–164

Data points: 130, 135, 133, 134, 147, 147, 157. Total: 7.

Step2: Count data in 165–199

Data points: 168, 166, 166, 185, 193, 185. Total: 6.

Step3: Count data in 200–234

Data points: 223, 208, 203. Total: 3.

Step4: Count data in 235–269

Data points: 252, 262, 241. Total: 3.

Step5: Count data in 270–304

Data points: 300. Total: 1.

Answer:

Class	Frequency
165–199	6
200–234	3
235–269	3
270–304	1

For the histogram shape: The left (lower) classes have higher frequencies, and frequencies decrease towards the right (higher classes), with a long tail on the right. So the histogram is positively skewed.