Econ 221 LEC 1 Winter 2022 Assignment 1
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Econ 221 LEC 1
Winter 2022
Assignment 1
1. The police lieutenant in charge ofthe traffic division has reviewed the number oftraffic
citations issued per day by each ofthe 10 police officers in his division. [5 marks]
The data were:
13, 21, 12, 34, 31, 13, 22, 26, 25, and 23.
a. What is the mean number of citations issued per day?
b. What is the median number of citations issued per day?
c. What is the mode of the number of citations issued per day?
d. What is the first quartile of the number of citations issued per day?
e. What is the third quartile of the number of citations issued per day?
2. Consider the following information about a sample of 33 individuals: [3 marks]
|
Rating |
1 |
2 |
3 |
4 |
5 |
|
Frequency |
1 |
7 |
20 |
5 |
0 |
a. Calculate the sample mean rating.
b. Calculate the median.
c. Calculate the sample standard deviation.
3. Consider the following scores for two samples of eight students each: [5 marks]
Sample 1: 18, 19, 17, 15, 14, 20, 14, and 16
Sample 2: 14, 15, 13, 11, 10, 16, 10, and 12
a. Calculate the mean score in sample 1.
b. Calculate the mean score in sample 2.
c. Calculate the variance for the scores in sample 1.
d. Calculate the variance for the scores in sample 2.
e. You may have noticed that each score in sample 2 is obtained by subtracting 4 from the corresponding score in sample 1. Explain your answers to the above questions based on the measures of central tendency and variability.
4. The 2005 mobile phone manufacturers’ global market shares were as follows: Nokia 26.9%, Motorola 16.9%, Ericson 10.5%, Samsung 6.2%, Panasonic 5.5%, others 34.0%. Present this information in a pie chart. [2 marks]
5. The data in the time-series plot below represents monthly sales for two years of beanbag animals at a local retail store (Month 1 represents January and Month 12 represents December). Do you see any obvious patterns in the data? Explain. [2 marks]
6. The data recording time that students required to complete an assignment are summarized below: [3 marks]
Time Number
30<40
40<50
50<60
60<80
80<100
100<120
a. What is the mode time interval?
b. What is the median time interval?
c. Graph the data with a histogram.
2022-02-10