Question

What is the mode, median, and mean of 28, 39, 42, 29, 39, 40, 36, 46, 41, 30?

Answer 1

Mode is `39`, median is `39` and mean is `37`.

Explanation:

Let us arrange the data set `{28,39,42,29,39,40,36,46,41,30}` in increasing order of their value.

It is `{28,29,30,36,39,39,40,41,42,46}`

Mode is the data point whose frequency is highest. As `39` occurs twice and all other numbers appear only once, mode is `39`.

Median is the one which appears exactly in center, when the data is arranged in increasing or decreasing order..Here we have `10` data points, so in the center we have two numbers given by `5^(th)` and `6^(th)` data point and their average will be median. As both are `39` median is `39`.

Mean is the arithmetic average of all data points i.e. sum of all the numbers divided by their number (which is `10` here. As the sum is `28+29+30+36+39+39+40+41+42+46=370`, hence mean is `370/10=37`