Which statistic equals 6 for the data set [1,3,3,6,8,9,9]?

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Multiple Choice

Which statistic equals 6 for the data set [1,3,3,6,8,9,9]?

Explanation:
The middle value concept is being tested here. In a data set with an odd number of observations, the median is the value right in the middle when the data are ordered. Arrange the data: 1, 3, 3, 6, 8, 9, 9. With seven numbers, the middle position is the fourth value, which is 6. So the median is 6. The mean is calculated as 39 divided by 7, which is about 5.57, not 6. The mode would be the most frequent value; here 3 and 9 both occur twice, so there isn’t a single 6 as a mode. The range is the difference between the largest and smallest values, 9 minus 1, which equals 8. Therefore, the statistic that equals 6 is the median.

The middle value concept is being tested here. In a data set with an odd number of observations, the median is the value right in the middle when the data are ordered.

Arrange the data: 1, 3, 3, 6, 8, 9, 9. With seven numbers, the middle position is the fourth value, which is 6. So the median is 6.

The mean is calculated as 39 divided by 7, which is about 5.57, not 6. The mode would be the most frequent value; here 3 and 9 both occur twice, so there isn’t a single 6 as a mode. The range is the difference between the largest and smallest values, 9 minus 1, which equals 8. Therefore, the statistic that equals 6 is the median.

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