Question

Exercise 2.16: Consider the folowing data

HistoData

36     39     36    35    36    20    19

46     40     42    34    41    36    42

40     38     33    37    22    33    28

38     38     34    37    17    25    38

1. Find the number of clases needed to construct an histogram.
2. Find the class length.
3. Define nonoverlapping classes for a frequency distribution.
4. Tally the number of values in each class and develop a frequency distribution.
5. Draw a histogram for these data.
6. Develop a percent frequency distribution.

IMPORTANT NOTE: SHOW ALL THE CALCULATIONS - (YOU WILL NOT GET ANY CREDIT IF YOU DO NOT SHOW ALL THE CALCULATIONS)

• Write at least 2 references in APA style for each question.

Answer 1

Solution : From the given data we have to find the following

a) Here we have to find the no.of classes needed to construct a histogram is as follows

Minimum = 17

Maximum value = 46

The number of class = 5

b)we have to find the Width of the class = 6

c)Nonoverlapping classes for a frequency distribution

Class Interval
LL	UL
17	22
23	28
29	34
35	40
41	46

d) Here by tallying the number of values in each class and develop a frequency distribution

Class Interval
LL	UL	Talli	f
17	22	IIII	4
23	28	II	2
29	34	IIII	4
35	40	IIIII,IIIII,IIII	14
41	46	IIII	4
	Total =		28

e) We have to construct a histogram for the above data obtained is as follows

f) Finally we have to obtain a percent frequency distribution

CI	f	% freq
17-22	4	14.28571
23-28	2	7.142857
29-34	4	14.28571
35-40	14	50
41-46	4	14.28571
Total =	28