Question

juanita is on the basketball team and played in 30 games last month. a sample of the number of points she scored in 10 of the games is shown in the table below. what is the mean absolute deviation for this sample? solve on paper, then enter your answer on zearn. number of points scored 29 1 22 19 12 4 16 24 22 21 mean = 17 points mad = \square

Explanation:

Step1: Find absolute deviations

For each data point \( x \), calculate \( |x - \text{Mean}| \). Mean is 17.

• \( |29 - 17| = 12 \)
• \( |1 - 17| = 16 \)
• \( |22 - 17| = 5 \)
• \( |19 - 17| = 2 \)
• \( |12 - 17| = 5 \)
• \( |4 - 17| = 13 \)
• \( |16 - 17| = 1 \)
• \( |24 - 17| = 7 \)
• \( |22 - 17| = 5 \)
• \( |21 - 17| = 4 \)

Step2: Sum the absolute deviations

Sum these values: \( 12 + 16 + 5 + 2 + 5 + 13 + 1 + 7 + 5 + 4 = 60 \)

Step3: Divide by number of data points

There are 10 data points. So \( \text{MAD} = \frac{60}{10} = 6 \)

Answer:

6