Question

question
a data set is summarized in the frequency table below. the data set contains a total of 40 data values. what is the missing frequency?

value	frequency
2	6
3	7
4	3
5	\\(\square\\)
6	5
7	4
8	5

provide your answer below:

Explanation:

Step1: Sum known frequencies

First, we add up all the given frequencies. The frequencies are 4, 6, 7, 3, 5, 4, 5. Let's calculate their sum: $4 + 6 + 7 + 3 + 5 + 4 + 5 = 34$.

Step2: Find missing frequency

The total number of data values is 40. Let the missing frequency (for value 5) be $x$. We know that the sum of all frequencies should be 40. So, we set up the equation: $34 + x = 40$. To find $x$, we subtract 34 from both sides: $x = 40 - 34 = 6$.

Answer:

6