1. For each of the following, indicate whether the data is measured on a nominal
ID: 3366740 • Letter: 1
Question
1. For each of the following, indicate whether the data is measured on a nominal, ordinal, interval, or ratio scale.
_______ a) waist sizes of 65-year-old men
_______ b) amount of alcohol in a can of Budweiser beer
_______ c) countries of origin of CUNY students
_______ d) temperature in centigrade of Starbuck's coffee
_______ e) religions of CUNY college students
_______ f) social class of CUNY students
_______ g) weights of 65-year-old women
_______ h) IQ of CUNY students
_______ i) scores on the CPA exam for CUNY students
_______ j) speeds of fastballs thrown by American League pitchers
_______ k) strength categories of hurricanes (1, 2, ..., 5)
_______ l) genders of Wal-Mart employees
_______ m) rank of college professors (Instructor, Assistant Professor, Associate Professor, Full Professor)
_______ n) class standing of CUNY students (Freshman, Sophomore, ... )
2. Indicate which of the following are discrete measurements and which are continuous measurements:
___ ___ a) the number of defective laptops in batches of 30
___ ___ b) life of a Duracell battery
___ ___ c) mileage of Toyota Prius cars
___ ___ d) weight of guinea pigs
___ ___ e) span of butterfly wings
___ ___ f) number of left-handed people on basketball teams
___ ___ g) time to complete the New York City Marathon
___ ___ h) amount of alcohol in a can of beer
___ ___ i) number of foreign students in each statistics class
___ ___ j) height of basketball players
___ ___ k) number of pens in backpacks of college students
A firm wants to establish how long it is supposed to take to assemble a certain 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: 16; 8; 11; 9; 14; 22; 20; 16; 30; 25; 19; 16; 15
Solve the following by hand.
You MUST show your work including the formulas and all your computations.
3. The mean is: _______
4. The median is: _____
5. The mode is: ______
6. The first quartile is: ____
7. The third quartile is: ____
8. The range is: ______
9. The IQR is: ______
10. The variance is: ______
11. The standard deviation is: ______
12. The coefficient of variation is: ______
13. 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
16. Which of the following statements is false?
(a) the median is a measure of central tendency
(b) quartiles are not measures of central tendency
(c) the 50th percentile is the median
(d) an extreme value is likely to have a greater effect on the median than the mean
(e) the 25th percentile is the first quartile (Q1)
Indicate which of the following is a parameter and which is a statistic:
___ ___ 17) sample mean
___ ___ 18) population standard deviation
___ ___ 19) sample standard deviation
___ ___ 20) population variance
___ ___ 21) population median
___ ___ 22) population mean
For each of the following, indicate the appropriate statistical measures that may be used for analysis (e.g., proportions, median, quantiles, mode, mean, ...). List as many as are appropriate.
23) For data measured on a nominal scale, you may use: ___________________________
24) For data measured on an ordinal scale, you may use: ___________________________
25) For data measured on an interval scale, you may use: ___________________________
Can you answer #'s 1-25?
Explanation / Answer
2. Indicate which of the following are discrete measurements and which are continuous measurements:
a) Discrete
b) Continuous
c) Continuous
d) Continuous
e) Continuous
f) Discrete
g) Continuous
h) Continuous
i) Discrete
j) Continuous
k) Discrete
since
A discrete variable is a variable which can only take a countable number of values.
A continuous random variable is a random variable where the data can take infinitely many values.
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