Each student in a class was asked how long (in the nearest minute) it took them to solve a problem.

Question

The results are shown in the table below.

$2$	$7$	$4$	$2$	$1$	$3$	$8$	$7$
$4$	$1$	$2$	$5$	$5$	$2$	$3$	$8$
$8$	$4$	$4$	$11$	$4$	$6$	$2$	$6$

Represent the data on a dot diagram.
Briefly describe the distribution of the data.
A student is selected at random. The probability that the student uses at most $x$ minutes to solve the problem is $\frac{2}{3}$ . Find the values of $x$.

Accepted Answer

(a) Dot counts: $1:2,\ 2:5,\ 3:2,\ 4:5,\ 5:2,\ 6:2,\ 7:2,\ 8:3,\ 11:1$ (b) Range $1$ to $11$ minutes, cluster from $1$ to $8$ minutes, outlier $11$ minutes, modes $2$ and $4$ minutes (c) $x=5$ minutes

\(2\)	\(7\)	\(4\)	\(2\)	\(1\)	\(3\)	\(8\)	\(7\)
\(4\)	\(1\)	\(2\)	\(5\)	\(5\)	\(2\)	\(3\)	\(8\)
\(8\)	\(4\)	\(4\)	\(11\)	\(4\)	\(6\)	\(2\)	\(6\)

Dot Plot Representation and Probability

Dot Plot Representation and Probability

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