QuestionAugust 25, 2025

11. The number of hours Louisa worked each week over the summer were 19,23,18,25,16,17,21,48,20, and 13. Which measure of center best describes the data:mean, median, or moder __

11. The number of hours Louisa worked each week over the summer were 19,23,18,25,16,17,21,48,20, and 13. Which measure of center best describes the data:mean, median, or moder __
11. The number of hours Louisa worked each week over the summer were 19,23,18,25,16,17,21,48,20, and 13. Which measure of center best describes the data:mean, median, or moder __

Solution
4.7(289 votes)

Answer

Median (19.5) best describes the data as it is less affected by the outlier. Explanation 1. Calculate the Mean Add all numbers and divide by the count: \frac{19 + 23 + 18 + 25 + 16 + 17 + 21 + 48 + 20 + 13}{10} = \frac{220}{10} = 22. 2. Find the Median Arrange numbers in order: 13, 16, 17, 18, 19, 20, 21, 23, 25, 48. Median is average of middle two: \frac{19 + 20}{2} = 19.5. 3. Determine the Mode No number repeats, so there is no mode. 4. Compare Measures Mean (22) and median (19.5) are close, but the mean is affected by the outlier (48).

Explanation

1. Calculate the Mean<br /> Add all numbers and divide by the count: $\frac{19 + 23 + 18 + 25 + 16 + 17 + 21 + 48 + 20 + 13}{10} = \frac{220}{10} = 22$.<br /><br />2. Find the Median<br /> Arrange numbers in order: $13, 16, 17, 18, 19, 20, 21, 23, 25, 48$. Median is average of middle two: $\frac{19 + 20}{2} = 19.5$.<br /><br />3. Determine the Mode<br /> No number repeats, so there is no mode.<br /><br />4. Compare Measures<br /> Mean (22) and median (19.5) are close, but the mean is affected by the outlier (48).
Click to rate:

Similar Questions