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.