E MAT 213 1 /2 75% + MAT 152 Name Chapter 3 and 5 Lab Please note the following directions. You may use excel or your calculator for your calculations. Round all answers to two decimals. Complete your work, but submit only the answers in the form in Moodle. Data Set 1: Twenty 1" graders were asked, "What is your favorite color"? The data is listed below. 1 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 3 24 10 15 12 20 36 14 20 18 24 18 16 16 20 24 28 2 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 bar graph. d. What is the probability of selecting someone whose favorite color is red? e. What is the probability of selecting someone whose favorite color is orange?E MAT 213 2 / 2 75% + 2. Use data set 2 a. Construct a frequency distribution without grouping the data. b. Find the mean, median, mode and range. C. Find the variance and the standard deviation. d. Find the five-number summary. e. What is the probability of selecting a class with 20 students? 3. Use data set 3 2 a. Using 6 classes and a class width of 5, construct a frequency distribution (first class: 7 - 11). b. Using the frequency distribution from part a: Find the approximate mean, variance and standard deviation for the grouped data. c. Using the frequency distribution from part a: What is the probability of a randomly selected herb to have a height of at least 17 inches? d. Using the frequency distribution constructed in part a: What is the probability of a randomly selected herb to have a height more than 26 inches