The midpoints or class marks for the ages of the factory workers are 19.5, 29.5, 39.5, 49.5, 59.5 and 69.5. What are the class limits of this distribution?
To find the class limits of a distribution, you need to determine the range of each class. Each class is usually represented by two values - the lower class limit and the upper class limit.
The midpoints given are 19.5, 29.5, 39.5, 49.5, 59.5, and 69.5. The difference between consecutive midpoints is 10. This implies that the class interval or width is 10.
To find the lower class limits, subtract 5 from each midpoint:
Lower class limits: 19.5 - 5 = 14.5
29.5 - 5 = 24.5
39.5 - 5 = 34.5
49.5 - 5 = 44.5
59.5 - 5 = 54.5
69.5 - 5 = 64.5
To find the upper class limits, add 5 to each midpoint:
Upper class limits: 19.5 + 5 = 24.5
29.5 + 5 = 34.5
39.5 + 5 = 44.5
49.5 + 5 = 54.5
59.5 + 5 = 64.5
69.5 + 5 = 74.5
Therefore, the class limits of this distribution are:
14.5 - 24.5
24.5 - 34.5
34.5 - 44.5
44.5 - 54.5
54.5 - 64.5
64.5 - 74.5