Chapter 12.4, Problem 4ACYP

To determine

Tocreate: a frequency table and a relative frequency graph of the data given.

Answer to Problem 4ACYP

Sum	Frequency
2	1
3	2
4	3
5	4
6	5
7	6
8	5
9	4
10	3
11	2
12	1

Explanation of Solution

Given:

Two six-sided dices are rolled are their sum is recorded.

Calculation:

According to the question, the outcomes of the two six-sided dices are:

  $\begin{array}{l}\left(1,1\right),\left(1,2\right)\left(1,3\right)\left(1,4\right)\left(1,5\right),\left(1,6\right)\\ \left(2,1\right),\left(2,2\right)\left(2,3\right)\left(2,4\right)\left(2,5\right),\left(2,6\right)\\ \left(3,1\right),\left(3,2\right)\left(3,3\right)\left(3,4\right)\left(3,5\right),\left(3,6\right)\\ \left(4,1\right),\left(4,2\right)\left(4,3\right)\left(4,4\right)\left(4,5\right),\left(4,6\right)\\ \left(5,1\right),\left(5,2\right)\left(5,3\right)\left(5,4\right)\left(5,5\right),\left(5,6\right)\\ \left(6,1\right),\left(6,2\right)\left(6,3\right)\left(6,4\right)\left(6,5\right),\left(6,6\right)\end{array}$

Now, create the frequency table by the sum of the two six-sided dices.

Sum	Frequency
2	1
3	2
4	3
5	4
6	5
7	6
8	5
9	4
10	3
11	2
12	1