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5. diego arranges the students in his math class from shortest to talle…

Question

  1. diego arranges the students in his math class from shortest to tallest and measures the height in inches of each student in the class. the heights of the 30 students are listed below.

a. complete the frequency table.

b. complete the histogram using the intervals from the frequency table.

Explanation:

Step1: Count frequencies for each interval

For the interval 50 - 55: There are 0 students in this height - range.
For the interval 55 - 60: The heights 58, 59 are in this range, so the frequency is 2.
For the interval 60 - 65: The heights 61, 62, 62, 60, 60, 60, 61 are in this range, so the frequency is 7.
For the interval 65 - 70: The heights 66, 66, 67, 67, 68, 68, 68, 66 are in this range, so the frequency is 8.
For the interval 70 - 75: The heights 71, 72, 73, 73, 73 are in this range, so the frequency is 5.
For the interval 75 - 80: The heights 76, 76, 77 are in this range, so the frequency is 3.
For the interval 80 - 85: The height 81 is in this range, so the frequency is 1.

Answer:

Height (in.)Frequency
55 - 602
60 - 657
65 - 708
70 - 755
75 - 803
80 - 851