Question

A 10-yr-old competes in gymnastics. For several competitions, she received the following "All-Around" scores: 35.5, 36.3. 36.6, and 36.9. Her coach recommends that gymnasts whose "All-Around" scores average at least 36.5 moves up to the next level. What "Ail-Around" scores in the next competition would result in the child being eligible to move up? The child needs a score of _____ to move up to the next level of the competition.

Answer 1

Answer:

The child needs a score of 37.2 to move up to the next level of the competition.

Step-by-step explanation:

The mean is the sum of all scores divided by the number of competions. So

$M = \frac{S}{T}$

In which S is the sum of all her scores and T is the number of competitions.

The child has five competions:

Which means that $T = 5$

She has to get a mean of at least 36.5, so $M = 36.5$

Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So

$S = 35.5 + 36.3 + 36.6 + 36.9 + x = 145.3 + x$

The child needs a score of _____ to move up to the next level of the competition.

This score is x. So

$M = \frac{S}{T}$

$36.5 = \frac{145.3 + x}{5}$

$145.3 + x = 36.5*5$

$x = 37.2$