the most appropriate measure of center for this data is the median. complete which statement about the data…

the most appropriate measure of center for this data is the median. complete which statement about the data is true? the mean is greater than the median. the mean is equal to the median. the mean is less than the median. done weight of male dogs (lb.) 4 5 5 0 2 8 6 2 8 7 2 8 8 1 9 5

the most appropriate measure of center for this data is the median. complete which statement about the data is true? the mean is greater than the median. the mean is equal to the median. the mean is less than the median. done weight of male dogs (lb.) 4 5 5 0 2 8 6 2 8 7 2 8 8 1 9 5

Answer

Explanation:

Step1: Write out the data set

The data set from the stem - and - leaf plot is (45,50,52,58,62,68,72,78,81,95).

Step2: Calculate the median

There are (n = 10) data points. The median for (n) even is the average of the (\frac{n}{2})th and ((\frac{n}{2}+ 1))th ordered data points. (\frac{n}{2}=5) and (\frac{n}{2}+1 = 6). The 5th value is (62) and the 6th value is (68). Median(=\frac{62 + 68}{2}=65).

Step3: Calculate the mean

Mean(\bar{x}=\frac{45+50+52+58+62+68+72+78+81+95}{10}=\frac{661}{10}=66.1).

Step4: Compare the mean and median

Since (66.1>65), the mean is greater than the median.

Answer:

The mean is greater than the median.