1. The arithmetic mean of five data points is 18. What will be the arithmetic mean of the remaining data points after removing the data point with a value of 10?
1. It is given that: $\frac{a+b+c+d+e}{5}=18$.

1 POINT

The sum of all five data points is $a+b+c+d+e=18 \cdot 5=90$. \quad 1 POINT

One of the data points is 10, so it follows that $a+b+c+d+10=90$ \quad 1 POINT

$\begin{array}{ll}\text { Then } a+b+c+d=90-10=80, & 1 \text { POINT }\end{array}$

![](https://cdn.mathpix.com/cropped/2024_05_30_63a858253359fff06b75g-1.jpg?height=94&width=1542&top_left_y=901&top_left_x=288)

The arithmetic mean of the remaining four data points is 20. 1 POINT

TOTAL 6 POINTS