Question

question #9
given the following frequency distribution, what are the correct cumulative frequencies?

2,4,6,3,1
2/16,6/16,12/16,15/16,16/16
2,6,12,15,16
2/16,4/16,6/16,3/16,1/16

Explanation:

Step1: Calculate the first cumulative frequency

The first cumulative frequency is just the first frequency value.
For the height range \(56 - 59\), the frequency is \(2\), so the first cumulative frequency is \(2\).

Step2: Calculate the second cumulative frequency

Add the second frequency to the previous cumulative frequency.
The second frequency (for \(60 - 63\)) is \(4\). So, \(2+4 = 6\).

Step3: Calculate the third cumulative frequency

Add the third frequency to the previous cumulative frequency.
The third frequency (for \(64 - 67\)) is \(6\). So, \(6 + 6=12\).

Step4: Calculate the fourth cumulative frequency

Add the fourth frequency to the previous cumulative frequency.
The fourth frequency (for \(68 - 71\)) is \(3\). So, \(12+3 = 15\).

Step5: Calculate the fifth cumulative frequency

Add the fifth frequency to the previous cumulative frequency.
The fifth frequency (for \(72 - 75\)) is \(1\). So, \(15+1=16\).

Answer:

\(2,6,12,15,16\)