Question

complete the table.
ages number of students midpoints
15-18 4 blank
19-22 6 blank
23-26 10 blank
27-30 3 blank
31-34 8 blank
35-38 8 blank
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Explanation:

Step1: Find midpoint for 15 - 18

The midpoint of a range \(a - b\) is calculated as \(\frac{a + b}{2}\). For 15 - 18, \(a = 15\), \(b = 18\).
\(\frac{15 + 18}{2}=\frac{33}{2}=16.5\)

Step2: Find midpoint for 19 - 22

For 19 - 22, \(a = 19\), \(b = 22\).
\(\frac{19 + 22}{2}=\frac{41}{2}=20.5\)

Step3: Find midpoint for 23 - 26

For 23 - 26, \(a = 23\), \(b = 26\).
\(\frac{23 + 26}{2}=\frac{49}{2}=24.5\)

Step4: Find midpoint for 27 - 30

For 27 - 30, \(a = 27\), \(b = 30\).
\(\frac{27 + 30}{2}=\frac{57}{2}=28.5\)

Step5: Find midpoint for 31 - 34

For 31 - 34, \(a = 31\), \(b = 34\).
\(\frac{31 + 34}{2}=\frac{65}{2}=32.5\)

Step6: Find midpoint for 35 - 38

For 35 - 38, \(a = 35\), \(b = 38\).
\(\frac{35 + 38}{2}=\frac{73}{2}=36.5\)

Answer:

Ages	Number of students	Midpoints
19 - 22	6	20.5
23 - 26	10	24.5
27 - 30	3	28.5
31 - 34	8	32.5
35 - 38	8	36.5