Q 3.6 - Elementary Statistics

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. 

Step-by-Step Solution

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 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.