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 bin - ranges

We need to decide appropriate bin - ranges for the data. Let's choose bins: 150 - 199, 200 - 249, 250 - 299, 300 - 349, 350 - 399, 400 - 449.

Step2: Count data points in each bin

• For 150 - 199: There are 4 values (163, 170, 171, 173, 175)
• For 200 - 249: There are 3 values (205, 220, 220)
• For 250 - 299: There are 3 values (253, 267, 281)
• For 300 - 349: There are 3 values (305, 305, 305)
• For 350 - 399: There are 2 values (355, 371, 388)
• For 400 - 449: There are 2 values (402, 431)

Step3: Draw the histogram

On the x - axis, label the bin - ranges (150 - 199, 200 - 249, etc.). On the y - axis, label the frequency (number of data points in each bin). Draw bars with heights corresponding to the frequency of each bin.

Answer:

A histogram with appropriate bin - ranges and frequencies as calculated above.