Question

find the mean, mode, median, range and give explanations for each.
1st - 25
2nd - 18
3rd - 2
4th - 13
5th - 18
6th - 11

Explanation:

Step1: Arrange data in ascending order

$2, 11, 13, 18, 18, 25$

Step2: Calculate the mean

Mean = $\frac{2 + 11+13 + 18+18+25}{6}=\frac{87}{6}=14.5$

Step3: Find the mode

The mode is the number that appears most frequently. Here, $18$ appears twice and other numbers appear once, so mode = $18$.

Step4: Calculate the median

Since there are 6 (an even - numbered) data points, the median is the average of the two middle - numbered values. The two middle values are the 3rd and 4th values when the data is arranged in ascending order. Median=$\frac{13 + 18}{2}=\frac{31}{2}=15.5$

Step5: Calculate the range

Range = Largest value - Smallest value. Range=$25 - 2=23$

Answer:

Mean: $14.5$; Mode: $18$; Median: $15.5$; Range: $23$