Question

Gabe rolls a six sided die twenty times, and records the result in the table below. How many times did Gabe roll above the average?

__________
3 6 2 3 4
__________
5 1 4 2 3
__________
2 2 2 3 1
__________
5 6 1 3 2
__________

A. 2
B. 3
C. 5
D. 6

Answer 1

D. 6

Explanation:

The result of 20 rolls in given in the statement we have to find how many times did the roll resulted in a result greater than the average number. So first we have to find the average of the 20 rolls.

The formula for the average is:

`\frac{\text{Sum of observations}}{\text{Total number of observations}}`

So, the formula for the given case will be:

`Average = \frac{\text{Sum of results of 20 rolls}}{20}\\\\ = (60)/(20)\\\\ =3`

Thus, the average result from the 20 rolls is 3. Now we have to look for values greater than 3 in the rolls. These are:

6, 4, 5, 4, 5, 6

So, 6 values in total are greater than 3.

Hence, Gabe rolled 6 times above average.