Question

1. 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 such as 160 - 180, 180 - 200, 200 - 220, 220 - 240, 240 - 260, 260 - 280, 280 - 300, 300 - 320, 320 - 340, 340 - 360, 360 - 380, 380 - 400, 400 - 420, 420 - 440.

Step2: Count the frequency in each interval

• 160 - 180: 5 (163, 170, 171, 173, 175)
• 180 - 200: 0
• 200 - 220: 1 (205)
• 220 - 240: 3 (220, 220, 220)
• 240 - 260: 1 (253)
• 260 - 280: 1 (267)
• 280 - 300: 1 (281)
• 300 - 320: 3 (305, 305, 305)
• 320 - 340: 0
• 340 - 360: 1 (355)
• 360 - 380: 1 (371)
• 380 - 400: 1 (388)
• 400 - 420: 1 (402)
• 420 - 440: 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 of each class interval.

Answer:

A histogram with appropriate class intervals on x - axis and frequencies on y - axis, with bars of heights as calculated above.