Question

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

Explanation:

Step1: Determine class intervals

We can choose class intervals such as 160 - 199, 200 - 239, 240 - 279, 280 - 319, 320 - 359, 360 - 399, 400 - 439.

Step2: Count data in each interval

For 160 - 199: 5 (163, 170, 171, 173, 175)
For 200 - 239: 4 (205, 220, 220, 220)
For 240 - 279: 0
For 280 - 319: 4 (281, 305, 305, 305)
For 320 - 359: 1 (355)
For 360 - 399: 2 (371, 388)
For 400 - 439: 2 (402, 431)

Step3: Draw the histogram

On the x - axis, label the class intervals. On the y - axis, label the frequency (number of data points in each interval). Draw bars with heights corresponding to the frequencies of each class interval.

Answer:

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