Question

denise and sandra 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 inches away from the center. their scores are shown.
denises scores: 112, 116, 125, 119, 131
sandras scores: 124, 120, 110, 126, 118
which explains who is winning the game?
denise is winning because she is generally closer to the center.
denise is winning because she has the greater mean.
sandra is winning because she has the greater mean.
sandra is winning because she is generally closer to the center.

Explanation:

Step1: Calculate Denise's mean

The formula for the mean is $\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For Denise's scores \(x=\{112,116,125,119,131\}\), \(n = 5\).

$$
LATEXBLOCK0
$$

Step2: Calculate Sandra's mean

For Sandra's scores \(x=\{124,120,110,126,118\}\), \(n = 5\).

$$
LATEXBLOCK1
$$

Since the lower the score (closer to the center), the better. \(120.6<121.6\), Denise is closer to the center on average.

Answer:

Denise is winning because she is generally closer to the center.