Question

A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’ scores. The first three judges’ scores were 83, 88, and 92. The figure skater made it to the next round.

What is the minimum score the fourth judge could have given?

Answer 1

Answer:

97

Step-by-step explanation:

It is given that a figure skater needs a total score of at least 90 to move on to the next round.

The first three judges’ scores were 83, 88, and 92.

Let x be the score given by fourth judge.

Formula for average:

$Average=\frac{\sum x}{n}$

where, n is the number of observations.

Average of four judges is

$Average=\frac{83+88+92+x}{4}$

$Average=\frac{263+x}{4}$

Average score must be at least 90.

$Average\geq 90$

$\frac{263+x}{4}\geq 90$

Multiply both sides by 4.

$263+x\geq 360$

Subtract both sides by 263.

$x\geq 360-263$

$x\geq 97$

Therefore, the minimum score the fourth judge could have given is 97.