Question

(b) the mean of m, p, q and r is 8.25. the mean of m, n, p, q and r is 4.6. find the value of n.

Explanation:

Step1: Find the sum of m, p, q and r

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Given the mean of $m,p,q,r$ is $8.25$ and $n = 4$, we have $\frac{m + p+q + r}{4}=8.25$. So $m + p+q + r=8.25\times4 = 33$.

Step2: Find the sum of m, n, p, q and r

Given the mean of $m,n,p,q,r$ is $4.6$ and $n = 5$, we have $\frac{m + n+p+q + r}{5}=4.6$. So $m + n+p+q + r=4.6\times5=23$.

Step3: Find the value of n

Substitute $m + p+q + r = 33$ into $m + n+p+q + r=23$. We get $33 + n=23$. Then $n=23 - 33=- 10$.

Answer:

$-10$