For the data set given in Question 10 on page 214 in the textbook: Create a stem
ID: 3219491 • Letter: F
Question
For the data set given in Question 10 on page 214 in the textbook: Create a stem and leaf diagram using the integer as the stem and the decimal as the leaf. Create a table, using the method given in the textbook and notes, containing: a. Boundaries b. Frequency c. Relative frequency d. Cumulative relative frequency Calculate the following: a. Sample mean b. Sample median c. Sample range d. q_1 e. q_3 f. iqr Construct a boxplot using the method given in the textbook and notes. Give the values of inner and outer fences (F_1, f_1, f_3, F_3) and determine if there are any outliers in the data set. Based on the graphs and pictures you constructed, does it seem reasonable to assume that this data comes from a normal distribution? Simply determine whether or not it looks roughly symmetric and bell-shaped. If yes, it is reasonable to assume it is from a normal distribution.Explanation / Answer
1. Using minitab
Stem-and-Leaf Display: data
Stem-and-leaf of data N = 48
Leaf Unit = 0.10
2 5 33
2 5
6 6 1222
10 6 5778
16 7 111444
(9) 7 666778999
23 8 0112224
16 8 577788
10 9 0123
6 9 55667
1 10 0
2.
3.
Descriptive Statistics: data
Variable N N* Mean Q1 Median Q3 Range IQR
data 48 0 7.898 7.100 7.900 8.775 4.700 1.675
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Class Count/frequency Relative frequency Cumulative relative frequency 5.3-6.1 3 0.063 0.063 6.2-7 7 0.146 0.208 7.1-7.9 15 0.313 0.521 8-8.8 13 0.271 0.792 8.9-9.7 9 0.188 0.979 9.8-10.6 1 0.021 1.000