Question

The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 Find the mean, median and mode of these scores

Answer 1

First, we have to arrange data in ascending order.
After arranging our data becomes, `0,1,2,3,3,3,3,4,4,5`
`Mean = `Sum of all observations`/`Total number of observations
`Mean = (0+1+2+3+3+3+3+4+4+5)/10 = 28/10 = 2.8`
Median can be obtained by calculating the mean of middle terms.
Here, Middle terms are `5^(th) and 6^(th)` terms.
So, Median `= (3+3)/2 = 3`
In the given data frequency of `3` is maximum as it has appeared 4 times in the data. So, Mode `= 3`