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 player’s score is the number of inches away from the center. Their scores are shown below. Denise’s scores: 112, 116, 125, 119, 131 Sandra’s scores: 124, 120, 110, 126, 118 Which explains who is winning the game? Denise is winning because she has the greater mean. Denise is winning because she is generally closer to the center. Sandra is winning because she has the greater mean. Sandra is winning because she is generally closer to the center.

Answer 1

I will give this to Sandra.

She has one 110 which is the smallest number and also closest to the center.

Last phrase is the answer.

Answer 2

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

Explanation:

We will compare the means of both sets of data. To find each mean, we find the sum of the data points and divide by the number of data points.

For Denise:

(112+116+125+119+131)/5 = 603/5 = 120.6

For Sandra:

(124+120+110+126+118)/5 = 598/5 = 119.6

Since Sandra has the smaller mean, this means on average her scores are closer to center than Denise's. This means she is winning.