Question

What is the mean, median and mode of the data below. (List in that order: mean, median, mode) 18, 24, 20, 18, 21

Answer 1

Answer:

Mean: $20.2$, Median: $20$, Mode: $18$

Step-by-step explanation:

The mean or average of a data set is calculating by dividing the sum of the data values by the number of the data values. In this case, the sum of the data values is $18+24+20+18+21=101$ and the number of data values is $5$, so the mean is $\frac{101}{5}=20.2$.

The median of a data set is the middle value when the data is ordered in ascending order, meaning least to greatest. Right now, the data is not in ascending order, but after ordering it, we get $18,18,20,21,24$. Since there are $5$ data values in this set, the middle value, or median, will be the $3$rd value, which, in this case, is $20$.

Finally, the mode of a data set is the most frequent value, or the value that shows up the most. In this case, $18$ shows up twice, unlike the other numbers, which only show up once, so we know that the mode is $18$. Hope this helps!