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

Sample: 51, 37, 83, 44, 52, 19, 99, 7, 36, 88, 3

A. 10
B. 9
C. 11
D. 12

Sagot :

GinnyAnswer
To determine the value of [tex]\( n \)[/tex] in the provided sample, we should count the number of elements in the sample set.

The sample set given is:

[tex]\[ 51, 37, 83, 44, 52, 19, 99, 7, 36, 88, 3 \][/tex]

Now, let's enumerate each element in the set:

1. [tex]\( 51 \)[/tex]
2. [tex]\( 37 \)[/tex]
3. [tex]\( 83 \)[/tex]
4. [tex]\( 44 \)[/tex]
5. [tex]\( 52 \)[/tex]
6. [tex]\( 19 \)[/tex]
7. [tex]\( 99 \)[/tex]
8. [tex]\( 7 \)[/tex]
9. [tex]\( 36 \)[/tex]
10. [tex]\( 88 \)[/tex]
11. [tex]\( 3 \)[/tex]

By counting each element, we observe there are 11 elements in total.

So, the value of [tex]\( n \)[/tex] is:

[tex]\[ n = 11 \][/tex]

Therefore, the correct answer is:

C. 11
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