the dot plot below shows the number of points a basketball player scored in their first 10 games. what is…

Explanation:

Step1: Count data - point frequencies

1 point at 10, 1 point at 12, 3 points at 13, 2 points at 14, 1 point at 18, 2 points at 19. Total of 10 data - points.

Step2: Calculate the mean

$\bar{x}=\frac{1\times10 + 1\times12+3\times13 + 2\times14+1\times18+2\times19}{10}=\frac{10 + 12+39+28+18+38}{10}=\frac{145}{10}=14.5$

Step3: Calculate absolute deviations

For 10: $|10 - 14.5| = 4.5$; for 12: $|12 - 14.5| = 2.5$; for 13: $|13 - 14.5| = 1.5$; for 14: $|14 - 14.5| = 0.5$; for 18: $|18 - 14.5| = 3.5$; for 19: $|19 - 14.5| = 4.5$

Step4: Calculate weighted sum of absolute deviations

$(1\times4.5)+(1\times2.5)+(3\times1.5)+(2\times0.5)+(1\times3.5)+(2\times4.5)=4.5 + 2.5+4.5 + 1+3.5 + 9=25.5$

Step5: Calculate the mean absolute deviation

$MAD=\frac{25.5}{10}=2.55$

Answer:

$2.55$