Question

Consider the following cumulative frequency distribution:

Interval Cumulative Frequency
15 < x ≤ 25 90
25 < x ≤ 35 100
35 < x ≤ 45 200
45 < x ≤ 55 290
a-1. Construct the frequency distribution and the cumulative relative frequency distribution.

Answer 1

To construct the frequency distribution, subtract the cumulative frequencies to find the frequencies. Divide the cumulative frequencies by the total number of data points to find the cumulative relative frequency distribution.

Step-by-step explanation:

To construct the frequency distribution, we start with the cumulative frequency information given. We begin by subtracting the cumulative frequencies in each row from the cumulative frequency in the previous row to find the frequencies. For example, the frequency for the first interval is 9025. The frequency for the second interval is 10035 - 9025 = 1010. We continue this process to find the frequencies for all intervals.

To construct the cumulative relative frequency distribution, we divide the cumulative frequencies by the total number of data points. For example, the cumulative relative frequency for the first interval is 9025/290 = 0.3103. We continue this process for all intervals.