Answer: 4 and 1/4
Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.
So to find the mean of the data set shown here, let's begin by adding the numbers.
[tex]2 + 3+6+3+5+5+3+7=34[/tex]
34 will be divided by how many numbers are in the set which is 8.
34 ÷ 8 = 4.25
To write 4.25 as a fraction, we can first write 4.25 as a fraction with 1 in the denominator.
Now, we can multiply 4.25/1 x 100/100 in order to remove the 2 decimal places. Once we multiply the numerator and denominator by 100/100, we get the fraction 425/100.
Now, we can reduce 425/100 by dividing both the numerator and denominator by the greatest common factor of 425 and 100 which is 25.
425 ÷ 25 = 17
100 ÷ 25 = 4
17/4 can be written as the mixed number 4 and 1/4.
