Question

6, 59, 55, 106, 84, 86, 96
using the data, create a histogram.
number of days
5
4
3
2
1

Explanation:

Step1: Determine the range of data

The data values are 6, 59, 55, 106, 84, 86, 96. The minimum value is 6 and the maximum value is 106. Let's choose appropriate class intervals. A common approach is to have intervals of width 20. So the intervals can be: 0 - 20, 21 - 40, 41 - 60, 61 - 80, 81 - 100, 101 - 120.

Step2: Count the frequency in each interval

• For 0 - 20: Only 6 is in this interval. Frequency = 1.
• For 21 - 40: No data points. Frequency = 0.
• For 41 - 60: 55 and 59 are in this interval. Frequency = 2.
• For 61 - 80: No data points. Frequency = 0.
• For 81 - 100: 84, 86, 96 are in this interval. Frequency = 3.
• For 101 - 120: 106 is in this interval. Frequency = 1.

Step3: Draw the histogram

On the x - axis, we have the class intervals: 0 - 20, 21 - 40, 41 - 60, 61 - 80, 81 - 100, 101 - 120. On the y - axis, we have the frequency (number of days). The height of each bar corresponds to the frequency of each interval. So:

• Bar for 0 - 20: height = 1
• Bar for 21 - 40: height = 0
• Bar for 41 - 60: height = 2
• Bar for 61 - 80: height = 0
• Bar for 81 - 100: height = 3
• Bar for 101 - 120: height = 1

(To actually draw the histogram, you can use graphing software or draw it manually with the x - axis labeled with the intervals and the y - axis labeled "Number of days" with the appropriate scale. The bars should be adjacent to each other as is typical in a histogram.)

Answer:

The histogram is constructed with class intervals 0 - 20 (frequency 1), 21 - 40 (frequency 0), 41 - 60 (frequency 2), 61 - 80 (frequency 0), 81 - 100 (frequency 3), 101 - 120 (frequency 1), and bars of corresponding heights on the y - axis (number of days) for each interval.