robin and evelyn are playing a target game. the object of the game is to get an object as close to the…

robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each players score is the number of centimeters away from the center. robin and evelyns results from five rounds are shown.\n\nrobins scores: 99, 108, 102, 107, 119\n\nevelyns scores: 125, 137, 138, 145, 145\n\nthe mean of robins scores is 107. what is the mean of evelyns scores?

robin and evelyn are playing a target game. the object of the game is to get an object as close to the center as possible. each players score is the number of centimeters away from the center. robin and evelyns results from five rounds are shown.\n\nrobins scores: 99, 108, 102, 107, 119\n\nevelyns scores: 125, 137, 138, 145, 145\n\nthe mean of robins scores is 107. what is the mean of evelyns scores?

Answer

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here $n = 5$, and $x_{1}=125$, $x_{2}=137$, $x_{3}=138$, $x_{4}=145$, $x_{5}=145$.

Step2: Calculate the sum of Evelyn's scores

$\sum_{i = 1}^{5}x_{i}=125 + 137+138 + 145+145=690$.

Step3: Calculate the mean

$\bar{x}=\frac{690}{5}=138$.

Answer:

138