The table below shows the number of books read by a group of students in a week. Number of books\(0\

Question

The table below shows the number of books read by a group of students in a week.

Number of books	$0$	$1$	$2$	$3$	$4$	$5$
Number of students	$5$	$12$	$4$	$x$	$3$	$2$

State the smallest possible value of $x$ if the median number of books read is $2$.
[1]
If the mean number of books read is $2$, find the value of $x$.
[3]

Accepted Answer

(a) $x=9$; (b) $x=10$.

Number of books	\(0\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)
Number of students	\(5\)	\(12\)	\(4\)	\(x\)	\(3\)	\(2\)

Statistics