Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 56.8 degrees

The first step is to find the midpoint for each interval
Midpoint = (lower limit + upper limit)/2
For 40 to 44,
midpoint = (40 + 44)/2 = 42
We would apply the same formula for the other intervals
The table is shown below
Interval Frequency(f) midpoint(x) fx
40 - 44 2 42 84
45 - 49 5 47 235
50 - 54 13 52 676
55 - 59 7 57 399
60 - 64 3 62 186
Mean = Σfx/Σf
Σfx = 84 + 235 + 676 + 399 + 186 = 1580
Σf = 2 + 5 + 13 + 7 + 3 = 30
Mean = 1580/30
Mean = 52.7