QUESTION IMAGE
Question
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.
robins scores: 99, 108, 102, 107, 119
evelyns scores: 125, 137, 138, 145, 145
the mean of robins scores is 107. what is the mean of evelyns scores?
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
$\bar{x}=\frac{690}{5}=138$.
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