Find the mean, median and mode of the following data:

Therefore,

$l=150$

$h=50$

$f=6$

$f_{1}=5$

$f_{2}=5$

$F=10$

Mean $=\frac{\sum f_{i} x_{i}}{\sum f}$

$=\frac{4225}{25}$

Mean = 169

Thus, the mean of the data is 169.

Median $=l+\frac{\frac{N}{2}-F}{f} \times h$

$=150+\frac{12.5-10}{6} \times 50$

$=150+\frac{2.5}{6} \times 50$

$=150+\frac{125}{6}$

Median $=170.83$

Thus, the median of the data is 170.83.

Mode $=l+\frac{f-f_{1}}{2 f-f_{1}-f_{2}} \times h$

$=150+\frac{6-5}{12-5-5} \times 50$

$=150+\frac{1}{2} \times 50$

$=150+25$

$=175$

Thus, the mode of the data is 175.