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Midterm

STAB22H3 Study Guide - Midterm Guide: Interquartile Range, Quartile, South Dakota Highway 15
Exam
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by OneClass2540294
11 Pages
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Fall 2018

Department
Statistics
Course Code
STAB22H3
Professor
All
Study Guide
Midterm

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University of Toronto Scarborough
STAB22 Midterm Examination solutions
June 2007
This examination contains a mixture of short-answer and multiple choice questions. For
the short-answer questions, write your answers in the spaces provided; for the multiple-choice
questions, circle the best answer out of the alternatives given.
Marks for each question are as shown.
Correct answers for multiple-choice questions are shown by a *.
1
1. (5 marks) At a certain university in 1993, a record was kept of the number of women
graduating with doctoral degrees in each of six different fields of study.
(a) What is this kind of graph usually called?
i. Histogram
ii. * Bar chart (the variable “field of study” is categorical)
iii. Stem-and-leaf plot
iv. Pie chart
(b) Which field of study had the most women graduating with doctoral degrees in
1993?
Psychology
(c) Approximately how many women graduated with doctoral degrees in life sciences
in 1993?
40 (or 39 if that’s what you think it is)
2. (8 marks) A political scientist takes a large sample of registered voters, and measures a
number of variables, as shown below. Are each of the variables listed below categorical
or quantitative?
(a) Gender
i. * Categorical
ii. Quantitative
(b) Age
i. Categorical
ii. * Quantitative
(c) Household income
i. Categorical
2
ii. * Quantitative
(d) Party voted for at last election
i. * Categorical
ii. Quantitative
3. (5 marks) What is the median of the following set of numbers: 7, 6, 10, 9, 5?
(a) 7.4
(b) * 7 (remember to arrange the numbers in order first!)
(c) 10
(d) 6
4. (7 marks) The speeds of 57 cars were measured (in km/h) on a city street. A numerical
summary of the results is given below:
Descriptive Statistics: speed
Variable N N* Mean SE Mean StDev
speed 57 0 45.53 1.64 12.38
Variable Minimum Q1 Median Q3 Maximum
speed 25.60 36.80 43.20 51.20 83.20
Do a calculation to decide whether the highest recorded speed, 83.2 km/h, is an outlier
in this data set. What do you conclude?
IQR is 51.2036.80 = 14.4; 1.5 ×IQR is 21.6; Q3 plus this is 51.2+21.6 =
72.8. The maximum value is 83.2, bigger than this, so is an outlier by this
criterion.
5. (3 marks) A delivery company recorded the delivery costs for 39 small packages it
delivered one day last week. A histogram of the delivery costs is shown below.
3

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Description
Univ ersit y of Toronto Scarborough STAB22 Midterm Examination solutions June 2007 This examination contains a mixture of short-answer and multiple choice questions. For the short-answer questions, write your answers in the spaces provided; for the multiple-choice questions, circle the best answer out of the alternatives given. Marks for each question are as shown. Correct answers for multiple-choice questions are shown by a *. 1 1. (5 marks) At a certain university in 1993, a record was kept of the number of women graduating with doctoral degrees in each of six dierent elds of study. (a) What isthis kind of graph usually called? i. Histogram ii. * Bar chart (the variable eld of study is categorical) iii. Stem-and-leaf plot iv. Pie chart (b) Which eld of study had the most women graduating with doctoral degrees in 1993? Psychology (c) Approximately how many women graduated with doctoral degrees in life sciences in 1993? 40 (or 39 if thats what you think it is) 2. (8 marks) A political scientist takes a large sample of registered voters, and measures a number of variables, as shown below. Are each of the variables listed below categorical or quantitative? (a) Gender i. * Categorical ii. Quantitative (b) Age i. Categorical ii. * Quantitative (c) Household income i. Categorical 2ii. *Quan titative (d) Party voted for at last election i. * Categorical ii. Quantitative 3. (5 marks) What is the median of the following set of numbers: 7, 6, 10, 9, 5? (a) 7.4 (b) * 7 (remember to arrange the numbers in order rst!) (c) 10 (d) 6 4. (7 marks) The speeds of 57 cars were measured (in km/h) on a city street. A numerical summary of the results is given below: Descriptive Statistics: speed Variable N N* Mean SE Mean StDev speed 57 0 45.53 1.64 12.38 Variable Minimum Q1 Median Q3 Maximum
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