Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds).
11, 5, 13, 12, 10, 13
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
(a) Median: pounds
(b) Mean: pounds
To find the median, we need to arrange the weights in ascending order:
5, 10, 11, 12, 13, 13
Since there are six numbers, the median is the average of the two middle numbers. In this case, the two middle numbers are 11 and 12. Thus, the median weight is:
Median = (11 + 12)/2 = 23/2 = 11.5 pounds.
To find the mean, we add up all the weights and divide by the total number of cats:
Mean = (11 + 5 + 13 + 12 + 10 + 13)/6 = 64/6 ≈ 10.7 pounds.
Therefore, the answers are:
(a) Median: 11.5 pounds
(b) Mean: 10.7 pounds