Question

Using the histogram shown here, do the following.

a. Construct a frequency distribution; include class limits, class frequencies, midpoints, and cumulative frequencies.
b. Construct a frequency polygon.
c. Construct an ogive.

Answer 1

a. From the given Histogram,

Class Limits	Class Boundaries	Midpoints	Frequency
22 – 24	21.5 – 24.5	23	1
25 – 27	24.5 – 27.5	26	3
28 – 30	27.5 – 30.5	29	0
31– 33	30.5 – 33.5	32	6
34 – 36	33.5 – 36.5	35	5
37 – 39	36.5 – 39.5	38	3
40– 42	39.5 – 42.5	41	2

 

	Cumulative Frequency
Less than 21.5	0
Less than 24.5	1
Less than 27.5	4
Less than 30.5	4
Less than 33.5	10
Less than 36.5	15
Less than 39.5	18
Less than 42.5	20

 

b.

Frequency polygon to the given data is

 

c.

Ogive to the given data is