Question

the data set represents the number of pages in the last book read by each of 20 students over the summer. 163 170 171 173 175 205 220 220 220 253 267 281 305 305 305 355 371 388 402 431 create a histogram to represent the distribution of the data.

Explanation:

Step1: Determine class intervals

We can choose class intervals like 160 - 179, 180 - 199, 200 - 219, 220 - 239, 240 - 259, 260 - 279, 280 - 299, 300 - 319, 320 - 339, 340 - 359, 360 - 379, 380 - 399, 400 - 419, 420 - 439.

Step2: Count the frequency for each interval

For 160 - 179: 5 (163, 170, 171, 173, 175)
For 180 - 199: 0
For 200 - 219: 1 (205)
For 220 - 239: 4 (220, 220, 220)
For 240 - 259: 1 (253)
For 260 - 279: 1 (267)
For 280 - 299: 1 (281)
For 300 - 319: 4 (305, 305, 305)
For 320 - 339: 0
For 340 - 359: 1 (355)
For 360 - 379: 1 (371)
For 380 - 399: 1 (388)
For 400 - 419: 1 (402)
For 420 - 439: 1 (431)

Step3: Draw the histogram

On the x - axis, label the class intervals. On the y - axis, label the frequency. Draw bars with heights corresponding to the frequencies for each class interval.

Answer:

A histogram with appropriate class intervals and their corresponding frequencies as calculated above.