Question

find the mean, median, and any modes for the data set. if there is more than one mode, write them separated by commas. if there is no mode, click on
o mode\. {13, 17, 22, 28, 27, 11, 21, 26}

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{13 + 17+22+28+27+11+21+26}{8}=\frac{165}{8}=20.625\approx20$

Step2: Arrange data in ascending - order

$11,13,17,21,22,26,27,28$

Step3: Calculate the median

Since $n = 8$ (even), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th ordered values. $\frac{8}{2}=4$ and $\frac{8}{2}+1 = 5$. The 4 - th value is 21 and the 5 - th value is 22. Median $=\frac{21 + 22}{2}=21.5\approx21$

Step4: Determine the mode

Each data - point appears only once, so there is no mode.

Answer:

Mean: 20
Median: 21
Mode: No mode