Question

deb has the following data: 52 53 50 54 62 b if the mean is 54, which number could b be? 35 53 save answer

Explanation:

Step1: Recall the formula for the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $\sum_{i = 1}^{n}x_{i}$ is the sum of data - points. Here, $n = 6$ and $\bar{x}=54$. So, $\sum_{i = 1}^{6}x_{i}=n\times\bar{x}=6\times54 = 324$.

Step2: Calculate the sum of the known data - points

The sum of the known data - points is $52 + 53+50 + 54+62=52+53+(50 + 54)+62=(52 + 53)+104 + 62=105+104 + 62=271$.

Step3: Solve for $b$

We know that $\sum_{i = 1}^{6}x_{i}=271 + b$. Since $\sum_{i = 1}^{6}x_{i}=324$, then $b=324−271$.
$b = 53$.

Answer:

$53$