Question

find the mean, median, and mode of the following data: (round to 1 decimal place as needed) 29, 17, 21, 27, 17, 26, 28, 17, 26, 20 mean = median = mode =

Explanation:

Step1: Calculate sum of data

$29 + 17+21 + 27+17+26+28+17+26+20=238$

Step2: Calculate mean

There are $n = 10$ data - points. Mean $\bar{x}=\frac{238}{10}=23.8$

Step3: Arrange data in ascending order

$17,17,17,20,21,26,26,27,28,29$

Step4: Calculate median

Since $n = 10$ (even), median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th ordered data - points. $\frac{n}{2}=5$, $\frac{n}{2}+1 = 6$. Median $=\frac{21 + 26}{2}=23.5$

Step5: Find mode

The mode is the number that appears most frequently. Here, 17 appears 3 times, more frequently than any other number, so mode = 17

Answer:

Mean = 23.8
Median = 23.5
Mode = 17