If the formula [tex]\(\bar{x}=\frac{1}{n} \sum_{i=1}^n x_i\)[/tex] is used to find the mean of the following sample, what is the value of [tex]\(n\)[/tex]?

Sample: 2, 63, 88, 10, 72, 99

A. 7
B. 8
C. 6
D. 5



Answer :

To find the value of [tex]\( n \)[/tex] in the given data set, let's identify the number of elements in the sample.

The sample is:
[tex]\[ 2, 63, 88, 10, 72, 99 \][/tex]

Next, we count the elements in the sample:

1. 2
2. 63
3. 88
4. 10
5. 72
6. 99

We see there are 6 elements in the sample. Therefore, the value of [tex]\( n \)[/tex] is:

[tex]\[ n = 6 \][/tex]

Hence, the correct option is:
C. 6