Question

8 two students are throwing darts at a number line, aiming for the number 10.

• student a has a standard deviation of 0.5
• student b has a standard deviation of 4.0

which students darts would you expect to find \clumped\ together, and which would be \scattered\?

Explanation:

Step1: Recall standard deviation meaning

Standard deviation (\(\sigma\)) measures data spread. Smaller \(\sigma\) means data is closer (clumped); larger \(\sigma\) means more spread out (scattered).

Step2: Compare Student A and B's \(\sigma\)

Student A: \(\sigma = 0.5\) (small). Student B: \(\sigma = 4.0\) (large).

Answer:

Student A's darts are clumped together (due to smaller standard deviation), and Student B's darts are scattered (due to larger standard deviation).