Question

The following dashboard represents dart thrown by two players. Tracey and Joan.

For the variable distance from the center" which player's board represents data with a smaller sample standard deviation? Explain your answer.

Short answer

In the case of the varying distance from the center,

In comparison to the player Tracey, the player Joan dartboard represents data with a smaller sample standard deviation while the player Tracey dartboard reflects data with a bigger sample standard deviation.

The Tracey dartboard has a little space between the darts, whereas the Joan dartboard has a huge spacing.

Step-by-step solution

Step 1. Given information.   

We have a statement where dashboard represents dart thrown by two players.

Step 2.Explain which player's board represents data with a smaller sample standard deviation? 

The variable distance from the centre is calculated as follows:

In comparison to the player Tracey, the player Joan dartboard represents data with a smaller sample standard deviation.

Because the Tracey dartboard has a little gap between the darts, whereas the Joan dartboard has a huge distance between the darts.