Part -1:
Data Set 1: Twenty 15' graders were asked, "What is your favorite color? the data is listed below.
|
Green
|
Yellow
|
Red
|
Green
|
Red
|
Red
|
Blue
|
Green
|
Yellow
|
Yellow
|
|
Red
|
Blue
|
Blue
|
Red
|
Purple
|
Purple
|
Red
|
Red
|
Green
|
Red
|
Data Set 2: The data below shows the number of students in each of the 18 sections of ENG 101 offered at a certain school.
|
26
|
23
|
25
|
23
|
20
|
25
|
|
25
|
24
|
22
|
22
|
25
|
23
|
|
22
|
20
|
24
|
20
|
25
|
23
|
Data Set 3: The heights in inches of commonly grown herbs are shown below.
|
18
|
20
|
18
|
18
|
24
|
10
|
15
|
|
12
|
20
|
36
|
14
|
20
|
18
|
24
|
|
18
|
16
|
16
|
20
|
7
|
24
|
28
|
Using the above data, do the following:
1. Use data set 1
a. Construct a frequency distribution and percents.
b. Find the mode.
c. Construct a frequency histogram.
d. What is the probability of selecting someone whose favorite color is red?
Part 2
a. Construct a frequency distribution and a cumulative frequencydistributionwithout grouping the data.
b. Find the mean, median, mode, midrange and range.
c. Find the variance and the standard deviation.
d. Find the five-number summaryand construct a b oxplot.
e. What is the probability of selectine a clas s with 20 students?
Part -3:
a. Using 6 classes and a class width of 5, constnct a frequency distributionand a cumulative frequency distribution (firstclass: 7 -11).
b. Find the modal class.
c. Using the frequency distribution from part a: Find the mean, variance and standexcldeviation.
d. Usingthe frequency distribution from parta: What is the probability of a randomly selected herb to have a height of at least 17 inches?
e. Using the frequency distribution constructed in parta: What is the probability of a randomly selected herb to have a height more than 26 inches?