Measures of Center

Front

Calculate the mean of the data set: 3, 7, 7, 2, 5, 10, 8.

Back

6

Answer explanation

To calculate the mean, sum the numbers: 3 + 7 + 7 + 2 + 5 + 10 + 8 = 42. Then divide by the count of numbers (7): 42 / 7 = 6. Thus, the mean is 6.

Front

Find the median of the following data set: 12, 15, 11, 14, 13.

Back

13

Answer explanation

To find the median, first arrange the data in ascending order: 11, 12, 13, 14, 15. The median is the middle value, which is 13 in this case.

Front

Identify the mode of the data set: 4, 5, 6, 6, 7, 8, 8, 8, 9.

Back

8

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, the number 8 appears three times, more than any other number, making it the mode of the data set.

Front

Calculate the range of the data set: 22, 29, 15, 18, 25.

Back

14

Answer explanation

To find the range, subtract the smallest value (15) from the largest value (29). So, 29 - 15 = 14. Therefore, the range of the data set is 14.

Front

Determine the mean absolute deviation of the data set: 5, 10, 15, 10, 5.

Back

2

Answer explanation

To find the mean absolute deviation, first calculate the mean: (5+10+15+10+5)/5 = 10. Then, find the absolute deviations: |5-10|, |10-10|, |15-10|, |10-10|, |5-10| = 5, 0, 5, 0, 5. The mean of these deviations is (5+0+5+0+5)/5 = 2.

Front

Given the data set: 9, 3, 6, 3, 9, 12, find the mean.

Back

7

Answer explanation

To find the mean, sum the numbers: 9 + 3 + 6 + 3 + 9 + 12 = 42. Then divide by the count of numbers (6): 42 / 6 = 7. Thus, the mean is 7.

Front

Find the median of the following data set: 21, 18, 24, 30, 27.

Back

24

Answer explanation

To find the median, first arrange the data in ascending order: 18, 21, 24, 27, 30. The median is the middle value, which is 24 in this case.

Front

Identify the mode of the data set: 14, 18, 14, 20, 22, 18, 18.

Back

18

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, 18 appears three times, more than any other number. Therefore, the mode of the data set is 18.

Front

Calculate the range of the data set: 45, 32, 37, 50, 41.

Back

18

Answer explanation

To find the range, subtract the smallest value (32) from the largest value (50). So, 50 - 32 = 18. Therefore, the range of the data set is 18.

Front

Mean absolute deviation of the data set: 2, 4, 6, 8, 10.

Back

2

Answer explanation

To find the mean absolute deviation, first calculate the mean: (2+4+6+8+10)/5 = 6. Then, find the absolute deviations: |2-6|=4, |4-6|=2, |6-6|=0, |8-6|=2, |10-6|=4. The mean of these deviations is (4+2+0+2+4)/5 = 2.