The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set. Doctor 1 Doctor 2 | 3 | 5 9 2 0 | 2 | 0 0 2 3 6 8 7 5 | 1 | 3 7 9 7 3 2 1 1| 0 | 2 2 3 9 Key: means 29 9|2|3 means 23
I don't quite know how to do this, so if someone could guide me through it that would be nice..!

Question

tinkerbannip4x4k6 tinkerbannip4x4k6

07-03-2018
Mathematics

contestada

The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set. Doctor 1 Doctor 2 | 3 | 5 9 2 0 | 2 | 0 0 2 3 6 8 7 5 | 1 | 3 7 9 7 3 2 1 1| 0 | 2 2 3 9 Key: means 29 9|2|3 means 23
I don't quite know how to do this, so if someone could guide me through it that would be nice..!

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MsEHolt MsEHolt · Answer 1 · 2018-06-10T03:54:19+02:00

The mean of the ages of Doctor 1's patients is 13.54 and the median is 15. The mean of the ages of Doctor 2's patients is 16 and the median is 19.

Explanation:
The mean is found by adding together all of the data points and then dividing by the number of data points. For Doctor 1, (32+20+22+29+15+17+18+1+1+2+3+7+9)/13 = 176/13 = 13.54.

For Doctor 2, (35+20+20+22+23+26+13+17+2+2+3+9)/12 = 192/12 = 16.

The median is the middle number in the data set after it has been ordered from least to greatest. The stem-and-leaf plot organizes it, so we find the middle value.

For Doctor 1, 15 is in the middle.

For Doctor 2, the middle is between 26 and 13: (26+13)/2 = 39/2 = 19.5