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1-1 mean, median, and mode exam find the missing value if the mean is 1…

Question

1-1 mean, median, and mode exam
find the missing value if the mean is 10
5, 12, 15, 8, x
o 12
o 10
o idk
o 7

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Here $n = 5$, and the numbers are $5,12,15,8,x$, and $\bar{x}=10$.

Step2: Calculate the sum of known numbers

$5 + 12+15 + 8=40$.

Step3: Set up equation for mean

We know that $10=\frac{40 + x}{5}$.

Step4: Solve the equation

Multiply both sides by 5: $10\times5=40 + x$, so $50=40 + x$. Then subtract 40 from both sides: $x=50 - 40=10$.

Answer:

10