Compare the two different data sets with the medians and means.
Data Set 1:
1, 1, 2, 3, 7, 9, 15, 17, 18, 20, 22, 29
Mean: 12
Median: 12
Data Set 2:
2, 2, 3, 9, 13, 17, 20, 20, 22, 23, 26, 35
Mean: 16
Median: 18.5
Both data sets have a total of 12 values each which are arranged in increasing order.
For Data Set 1, the mean is 12, and the median is also 12. This indicates that the data is fairly evenly distributed around the central value. The presence of both lower and higher values doesn't significantly affect the overall average (mean) and middle value (median) of the data set.
For Data Set 2, the mean is 16, and the median is 18.5. Here, the mean and median are different. This suggests that there might be some outliers or values that are affecting the overall average. In this case, the lower values (2 and 3) and the higher values (26 and 35) are most likely affecting the mean.
In general, a comparison between the two data sets shows that Data Set 1 is more evenly distributed around its central value, while Data Set 2 seems to have some values that are either too high or too low, causing a difference between the mean and median.