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In a grouped frequency distribution, if the limits of a class are 163–189, what are the boundaries of the class?

A. 161.5–190.5
B. 163–190
C. 162–189
D. 162.5–189.5

Answer :

Grouped Frequency Distribution

A grouped frequency distribution involves the grouping of data into class intervals or groups. Each class interval has an upper limit and a lower limit. These limits enable one to determine the range of values that can fall into the particular group. To determine the boundaries of a class interval, one must first determine the class width and then use it to calculate the boundaries of each interval. Boundaries are the values that separate one class from the next one.

Given:

The limits of a class are 163 – 189, which means that the lower limit is 163 and the upper limit is 189. The class width is found by subtracting the lower limit from the upper limit:189 - 163 = 26. The boundaries of the class can be found by adding and subtracting half of the class width to the limits. This will give the following: Lower boundary: 163 - 0.5(26) = 163 - 13 = 150. Upper boundary: 189 + 0.5(26) = 189 + 13 = 202. Therefore, the boundaries of the class are 150-202. Answer: 161.5-190.5.

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