Question

we will now determine the midpoint of each class. recall that the midpoint is the average of each class. find the average by dividing the sum of the class boundaries by 2. complete the table.
class boundaries | midpoint
--- | ---
27.5 – 38.5 | $\frac{27.5 + 38.5}{2} = 33$
38.5 – 49.5 | $\frac{38.5 + 49.5}{2} = \square$
49.5 – 60.5 | $\square$
60.5 – 71.5 | $\square$
71.5 – 82.5 | $\square$

Explanation:

Step1: Calculate midpoint for 38.5 - 49.5

Sum the boundaries: \(38.5 + 49.5 = 88\)
Divide by 2: \(\frac{88}{2} = 44\)

Step2: Calculate midpoint for 49.5 - 60.5

Sum: \(49.5 + 60.5 = 110\)
Divide: \(\frac{110}{2} = 55\)

Step3: Calculate midpoint for 60.5 - 71.5

Sum: \(60.5 + 71.5 = 132\)
Divide: \(\frac{132}{2} = 66\)

Step4: Calculate midpoint for 71.5 - 82.5

Sum: \(71.5 + 82.5 = 154\)
Divide: \(\frac{154}{2} = 77\)

Answer:

For 38.5 - 49.5: \(44\)
For 49.5 - 60.5: \(55\)
For 60.5 - 71.5: \(66\)
For 71.5 - 82.5: \(77\)