Question

Calculate the mean, median and mode
$23,25,28,25,16,23,17,22,25,25$.

Answer 1

$3,25,28,25,16,23,17,22,25,25$

Total no. of terms $=10$

Sum of data $=23+25+28+25+16+23+17+22+25+25=229$

Therefore,

Mean of given data $=\frac{229}{10}=22.9$

Now, since no. of terms is even.

Therefore,

Median of given data $=\frac{{\left(\frac{n}{2}\right)}^{th}\text{term}+{(\frac{n}{2}+1)}^{th}\text{term}}{2}$

$=\frac{16+23}{2}=\frac{39}{2}=19.5$

Since $25$ has occured most frequently in the given set of data.

Therefore,

Mode of data $=25$