Answer:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100
Explanation:
From the frequency distribution table given in the question, the cumulative frequency (c.f) can be computed by adding each frequency to the sum or total of the preceding frequencies. This makes the last value of the cumulative frequency (c.f) to be equal to the total of the frequency.
Based on this explanation, we have:
mass m (kg) frequency mass m (kg) c.f
0 < m ≤ 0.1 2 m ≤ 0.1 2
0.1 < m ≤ 0.2 7 m ≤ 0.2 9
0.2 < m ≤ 0.5 32 m ≤ 0.5 41
0.5 < m ≤ 0.8 46 m ≤ 0.8 87
0.8 < m ≤ 1 13 m ≤ 1 100
From the above, we can observe that:
Total of the frequency = 2 + 7 + 32 + 46 + 13 = 100
The last values of the cumulative frequency (c.f) = 100
Therefore, we have:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100