Question

All graphs must be neat and legible (use a straightedge to draw straight lines). All graphs must be labeled appropriately (as instructed in class). You do not need to write any complete sentences. Your graphs and charts are your work for each problem.

1) The following is the amount of hay (in hundreds of pounds) eaten by a sample of 24 elephants.

2.98, 3.05, 3.19, 3.27, 3.45, 3.51, 3.90, 3.93, 4.03, 4.09, 4.10, 4.15, 4.19, 4.46, 4.48, 4.49, 4.50, 4.55, 4.60, 4.65, 4.79, 4.79, 4.91, 5.03

a) Construct a dot plot.

b) Construct a frequency distribution. Use 6 classes. The limits of the first class are 2.95-3.29.

c) Construct a frequency histogram.

d) Construct a box plot.

Answer 1

a)

b)

c)

Following is the frequency histogram:

d)

Following is the ordered data set:

S.No.	Amount of hay
1	2.98
2	3.05
3	3.19
4	3.27
5	3.45
6	3.51
7	3.9
8	3.93
9	4.03
10	4.09
11	4.1
12	4.15
13	4.19
14	4.46
15	4.48
16	4.49
17	4.5
18	4.55
19	4.6
20	4.65
21	4.79
22	4.79
23	4.91
24	5.03

Minimum = 2.98

First quartile: It is average of 6th and 7th data value. So

Median: It is average of 12th and 13th data value. So

Third quartile: It is average of 18th and 19th data value. So

Maximum: 5.03

Following is the box plot: