Descriptive Statistics-
1. Thirty automobiles were tested for fuel efficiency in mpg. The following frequency distribution was obtained.
Class Boundaries Frequency
7.5-12.5 3
12.5-17.5 5
17.5-22.5 15
22.5-27.5 5
27.5-32.5 2
(a) Construct a histogram, frequency polygon and ogive for the data.
(b) Find the mean for this data.
2. The number of credits in business courses that twelve students took is shown below.
5, 6, 9, 12, 15, 21, 21, 27, 33, 45, 63, 72
(a) Find the percentile rank of 33.
(b) Find a value that that corresponds to the 40th percentile.
(c) Construct a box-plot labeled with the 5 number summaries.
3. The data shown (in millions of dollars) are the values of the 30 NFL franchises in the year 2008.
170 191 171 235 173 187 181 191
200 218 243 200 182 320 184 239
186 199 186 210 209 240 204 193
211 186 197 204 188 242
(a) Construct a frequency distribution for the data using 8 classes.
(b) Construct a histogram for the data.
(c) Construct a frequency polygon and an ogive for the data.
4. The following data are based on a survey of why people travel. Construct a Pareto chart for this data.
Purpose Number
Personal Business 146
Visit friends or relatives 350
Work-related 325
Leisure 299
Attend School 150
Evaluate Airlines 14
5. a) Find the five-number summary for the following data below.
b) Construct a box-plot.
c) Find the IQR and use it to determine if there are any outliers.
30 28 33 29 37 39 57 27 16 25
35 37 37 38 34 25 21 3 34 35