A relative frequency table is made from data in a frequency table.

Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes A, B, total. The second column is labeled C with entries 20%, 32%, 51%. The third column is labeled D with entries g, 16%, 49%. The fourth column is labeled total with entries 53%, 47%, 100%.

What is the value of g in the relative frequency table? Round the answer to the nearest percent.

25%

33%

63%

68%

Answer: g = 33%

Step-by-step explanation:

We know that the frequencies are A, B, and total.

So we can expect that total = A + B.

For the second column we have:

A = 20%, B = 32%, total = 51%

here 20% + 32% = 52%, which is different to the value we have in total, this may be for some elements that bot percentages have in common. (or maybe there is a mistake in this part)

For the fourth column we have:

A = 53%, B = 47%, total = 100%

A + B = 53% + 47% = 100%

this makes sense.

Then, for the third column we have:

A = g, B = 16%, total = 49%.

A + B = g + 16% = 49%

g = 49% - 16% = 33%

Then the correct option is the second one, g = 33%