1. For each of the following, indicate whether the data is measured on a nominal, ordinal,
interval, or ratio scale.
__Ratio__ a) waist sizes of 70-year-old women
__Ratio__ b) amount of alcohol in a can of Heineken beer
__Nominal_ c) countries of origin of CUNY students
__Interval_ d) temperature in centigrade of Starbucks coffee
__Nominal_ e) religions of CUNY college students
__Ordinal_ f) social class of CUNY students
__Ratio_ g) weights of 28-year-old men
__Interval_ h) IQ of CUNY students
__Interval_ i) scores on the CPA exam for CUNY students
__Ordinal_ j) speeds of fastballs thrown by American League pitchers
__Ordinal_ k) strength categories of hurricanes (1, 2, …, 5)
__Nominal_ l) genders of Walmart employees
__Nominal_ m) rank of college professors (Instructor, Assistant Professor, Associate Professor,
Full Professor)
__Ordinal_ n) class standing of CUNY students (Freshman, Sophomore, …)
2. Indicate which of the following are discrete measurements and which are continuous
measurements:
___Discrete ___ a) the number of defective iPhones in batches of 30
___Continuous ___ b) life of a Duracell battery
___Continuous ___ c) mileage of BMW cars
___Continuous ___ d) weight of hamsters
___Discrete ___ e) span of butterfly wings
___Discrete ___ f) number of left-handed people on basketball teams
___Continuous ___ g) time to complete the Boston City Marathon
___Continuous ___ h) amount of sugar in a can of Pepsi
___Discrete___ i) number of Canadian students in each statistics class
___Continuous ___ j) height of basketball players
___Discrete ___ k) number of pens in backpacks of college students
3. A firm wants to establish how long it is supposed to take to assemble a particular product.
A random sample of 13 employees is selected, and the company measures how long it takes each
of them to assemble the product rounded to the nearest minute.
Data: 5; 45; 11; 9; 14; 22; 45; 16; 30; 25; 19; 45; 15
1. The mean is: _______
2. The median is: _____
3. The mode is: ______
4. The first quartile is: ____
5. The third quartile is: ____
6. The range is: ______
7. The IQR is: ______
8. The variance is: ______
9. The standard deviation is: ______
10. The coefficient of variation is: ______
11. Convert the 8 into a Z-score: _______
14. Convert the 30 into a Z-Score _______
15. Which of the following is not a measure of location?
(a) mean (b) median (c) variance (d) percentile (e) quartile
5
9
11
14
15
16
19
22
25
30
45
45
45
301
23
23
23
23
23
23
23
23
23
23
23
23
23
-18
-14
-12
-9
-8
-7
-4
-1
2
7
22
22
22
324
196
144
81
64
49
16
1
4
49
484
484
484
2380