### Construct a frequency distribution and percents

Assignment Help Applied Statistics
##### Reference no: EM13323517

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?

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