Question

The box plot shows the number of years during which 16 schools have participated in a marching band competition:

Answer 1

From the given box and whisker's plot, we have

$Q_1=3\\ Q_2=5\\ Q_3=7\\ Max=10\\ Min=1$

Now, we know that there is half data distributed between the lower and upper quartiles.

Also, we have to find that how many schools have participated for 3 to 7 years. It means we need to find the number of years in between Q1 and Q3.

The total number of schools is 16.

Hence, number of schools have participated for 3 to 7 years is given by half of the total number of schools.

=$\frac{1}{2} \times 16\\ \\ =8$

Therefore, 8 schools have participated for 3 to 7 years.

D is the correct option.