Question

100 points

Kala has scored 18, 22, 19, and 26 points in her four basketball games so far. How many
points does she need to score in her next game so that her average (mean) is 21 points per
game?

Answer 1

Answer :-

We know that

Average = Sum of observation/Total observation

Let the unknown observation be x

18 + 22 + 19 + 26 + x/5 = 21

85 + x/5 = 21

85 + x = 21 × 5

85 + x = 105

x = 105 - 85

x = 20

Answer 2

Kala must score 20 points in her fifth game.

Explanation:

The mean or average of a set is given by:

`\displaystyle \overline{x} = \frac{\text{sum of data values}}{\text{number of data values}}`

(Note: the symbol used to denote the mean is known as "x-bar.")

We want to find the points (let the unknown value be a) Kala needs to score in her fifth game such that her average score is 21 points per game.

In other words, her total score so far plus a all over five (five games in total) must equal 21:

`\displaystyle (21) = ((18) + (22) + (19) + (26) + a)/(5)`

Solve for a. Multiply and combine like terms:

`\displaystyle 105 = 85 + a`

Subtract. Hence:

`a = 20 \text{ points}`

In conclusion, Kala must score 20 points in her fifth game.