Question

Use the frequency distribution shown below to construct an expanded frequency distribution.

Answer 1

Answer and Step-by-step explanation:

The calculation of midpoints, relative frequencies and cumulative frequencies are shown below:-

For Midpoint = $\frac{Lower\ limit\ +\ Upper\ limit}{2}$

For Relative frequency = $\frac{Frequency}{Total\ number\ of\ frequency}$

Class         Frequency     Midpoints    Relative       Cumulative

                                                             frequency     frequency

16​-26              17                     21                0.047          0.047

27​-37              45                    32               0.123           0.17

38​-48              66                   43                0.181            0.351

49​-59              67                    54               0.184           0.535

60​-70              82                    65              0.225            0.76

71​-81                 66                   76               0.181            0.941

82​-92              22                   87                0.060          1.001

Total                365

Therefore for computing the cumulative frequency we simply added relative frequency with previous cumulative frequency for class 27-37 and in the same manner of every class.