Question

Use the given frequency distribution to find the ​(a) class width. ​(b) class midpoints. ​(c) class boundaries. Temperature ​(degrees​F) Frequency 35 dash 37 1 38 dash 40 3 41 dash 43 5 44 dash 46 11 47 dash 49 7 50 dash 52 7

Answer 1

The frequency distribution :

Temperature (oF)	Frequency
35 dash 37	1
38 dash 40	3
41 dash 43	5
44 dash 46	11
47 dash 49	7
50 dash 52	7

We can see from the table that the classes are inclusive, we can converted into exclusive type.

Temperature (oF)	Frequency
34.5 dash 37 .5	1
37.5 dash 40.5	3
40.5 dash 43.5	5
43.5 dash 46.5	11
46.5 dash 49.5	7
49.5 dash 52.5	7

Now we find  class width, class midpoints and class boundaries for class (44,46)

a) Class width = Upper class boundary - lower class boundary

= 46.5 - 43.5

= 3

b) Class midpoint = (upper class limit + lower class limit ) / 2

= (46 + 44 ) / 2

= 45

c) Class boundaries

Upper class boundary = (46 + 47)/2

= 46.5

Lower class boundary = (43 +44) / 2

= 43.5

Similarly we can find class width, class midpoints and class boundaries for other classes.