Question

Find the mean of the data summarized in the given frequency distribution. compare the computed mean to the actual mean of 51.8 degrees. low temperature ​(circle​f) 40minus44 45minus49 50minus54 55minus59 60minus64 frequency 3 4 10 6 2

Answer 1

Mean = 47.52 degrees

Explanation:

We will use the following method to find the mean

Class interval Frequency(f) Class Mark(X) fx

40-44 3 42 126

45-49 4 47 188

50-54 10 52 520

55-59 6 57 342

60-64 2 62 124

.........................................................................................................

25 1188

.........................................

The formula for mean is:

Mean = ∑fx / ∑f

= 1188/25

= 47.52 degrees

The computed mean is less than the actual mean of 51.8 degrees ..