draw a histogram for the intervals 17 - 19, 20 - 22, 23 - 25, and 26 - 28 using the following data: 19, 19…

draw a histogram for the intervals 17 - 19, 20 - 22, 23 - 25, and 26 - 28 using the following data: 19, 19, 27, 20, 27, 26, 25, 26, 18, 27, 20, 24, 19, 21, 27, 23, 21, 17, 22, 22

draw a histogram for the intervals 17 - 19, 20 - 22, 23 - 25, and 26 - 28 using the following data: 19, 19, 27, 20, 27, 26, 25, 26, 18, 27, 20, 24, 19, 21, 27, 23, 21, 17, 22, 22

Answer

Answer:

First, count the frequency of data in each interval:

  • For the interval 17 - 19: The data values 17, 18, 19, 19, 19 are in this interval. So the frequency is 5.
  • For the interval 20 - 22: The data values 20, 20, 21, 21, 22, 22 are in this interval. So the frequency is 6.
  • For the interval 23 - 25: The data values 23, 24, 25 are in this interval. So the frequency is 3.
  • For the interval 26 - 28: The data values 26, 26, 26, 27, 27, 27, 27 are in this interval. So the frequency is 7.

Now, looking at the histograms:

  • Option a: Does not match the calculated frequencies.
  • Option b: Does not match the calculated frequencies.
  • Option c: Matches the frequencies 5, 6, 3, 7 for intervals 17 - 19, 20 - 22, 23 - 25, 26 - 28 respectively.
  • Option d: Does not match the calculated frequencies.

So the correct answer is c. Option c

Explanation:

Step1: Count 17 - 19 freq

Count data in 17 - 19: 5

Step2: Count 20 - 22 freq

Count data in 20 - 22: 6

Step3: Count 23 - 25 freq

Count data in 23 - 25: 3

Step4: Count 26 - 28 freq

Count data in 26 - 28: 7

Step5: Match histogram

Match with option c