A researcher randomly selected n = 30 drivers who were issued speeding tickets in a city. There are four variables in this data set: (1) ID number, (2) age, (3) sex, and (3) size of the car that s/he drove when s/he got the speeding ticket. *Sex (1 = Males, 2 = Females); Size_car (1 = Small, 2 = Medium, 3 = Large).
Data
ID |
AGE |
SEX |
SIZE_CAR |
1 |
18 |
1 |
2 |
2 |
28 |
1 |
2 |
3 |
44 |
1 |
3 |
4 |
20 |
2 |
2 |
5 |
39 |
2 |
2 |
6 |
53 |
2 |
3 |
7 |
28 |
1 |
1 |
8 |
18 |
1 |
1 |
9 |
24 |
2 |
1 |
10 |
21 |
1 |
2 |
11 |
35 |
1 |
3 |
12 |
38 |
1 |
3 |
13 |
22 |
1 |
1 |
14 |
29 |
1 |
2 |
15 |
63 |
1 |
3 |
16 |
22 |
1 |
3 |
17 |
45 |
2 |
2 |
18 |
36 |
2 |
2 |
19 |
16 |
1 |
1 |
20 |
56 |
1 |
3 |
21 |
20 |
2 |
1 |
22 |
23 |
1 |
2 |
23 |
58 |
1 |
1 |
24 |
32 |
1 |
3 |
25 |
25 |
2 |
2 |
26 |
28 |
1 |
2 |
27 |
21 |
1 |
1 |
28 |
51 |
2 |
3 |
29 |
26 |
2 |
1 |
30 |
45 |
1 |
2 |
|
A SPSS data file is created as explained. The variable view of the file is
And the data view is
Problem 2:
In this Data, Age is a quantitative Variable (ratio scale), we can use histogram to study the age distribution of the drivers who were issued speeding tickets
It can be seen that the age distribution is positively skewed. Since most of the values are on the left side of the histogram and some large values falls on the right, it is right skewed (i.e.,) positively skewed.
Since the variable Sex is nominal scale, bar graph will be better to represent Sex distribution of the drivers who were issued speeding tickets
It can be seen that 20 males received speeding tickets and 10 females received speeding tickets.Males were issued speeding tickets than females.
Since the variable Size_car is ordinal scale, bar graph will be better to represent car size of the drivers who were issued speeding tickets
Of the drivers, who were issued speeding tickets, 9 were driving small cars and 12 were driving medium cars and the remaining 9 were driving large cars.
Problem 3:
Since Age is a quantitative variable and it does not have outliers, Mean will be an appropriate measure of central tendency.
Since Sex is a nominal variable, Mode will the best measure of central tendency for the variable Sex. Mode can be used to find which is the most common category.
The variable Size_car is an ordinal variable, thus medium will be a good measure of central tendency.
Problem 4:
The average age of the male drivers who were issued speeding tickets were 32.25 and average age of the female drivers who were issued speeding tickets were 33.90. The age of Male drivers who were issued speeding tickets were less than the female drivers who were issued speeding tickets.Since the standard deviation of male drivers were more than the female drivers,we can say that the age of Male drivers who were issued speeding tickets were more spread than the female drivers who were issued speeding tickets.
A researcher randomly selected n = 30 drivers who were issued speeding tickets in a city....
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