The graph shows the results of an experiment in which a number cube labeled 1 through 6 is rolled a number of times. Number Cube Experiment 0,81 12 12 10 10 9 Number of Rolls 8 6 6 5 2 1 2 3 4 5 Number Showing Find the relative frequency of rolling a number greater than 3.

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Answer :

Answer:

Step-by-step explanation:

To find the relative frequency of rolling a number greater than 3, we need to calculate the total number of rolls that resulted in a number greater than 3 and divide it by the total number of rolls.

From the given data, we see the following counts for each number showing:

Number 1: 8 rolls

Number 2: 6 rolls

Number 3: 6 rolls

Number 4: 5 rolls

Number 5: 2 rolls

Number 6: 1 roll

To find the total number of rolls that resulted in a number greater than 3, we sum the counts for numbers 4, 5, and 6:

5

+

2

+

1

=

8

5+2+1=8

The total number of rolls is the sum of all counts:

8

+

6

+

6

+

5

+

2

+

1

=

28

8+6+6+5+2+1=28

Now, we can calculate the relative frequency:

Relative frequency

=

Number of rolls with a number greater than 3

Total number of rolls

Relative frequency=

Total number of rolls

Number of rolls with a number greater than 3

=

8

28

=

28

8

=

2

7

=

7

2

So, the relative frequency of rolling a number greater than 3 is

2

7

7

2

 or approximately 0.2857.

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