Levels of Measurement
Eye Color
(ex: brown)
nominal
What is the mode?
85, 87, 85, 92, 90
85
What do we call a distribution that is mirror-image on both sides?
symmetrical
(or normal)
How many standard deviations are to the right of the mean in a z-distribution?
3
What is the probability of flipping a coin and getting heads?
0.5
(1/2)
Temperature
(ex: 85o F)
interval
What is the mode?
55, 43, 44, 55, 43
43 & 55
In a positively skewed distribution, which direction does the tail point?
If a z-score is negative, where is the value located in relation to the mean?
below the mean
What is the probability of rolling a 6-sided die and getting an even number?
0.5
(3/6)
Movie Rating
(ex: 4 out of 5 stars)
ordinal
What is the median?
3, 8, 4, 10, 5
5
In a normal distribution, which measures of central tendency are equal?
mean, median, mode
What is the z-score of a value that is exactly at the mean?
0
What is the probability of drawing a red card from a standard deck of 52 cards?
0.5
(26/52)
Test Score
(ex: 77 out of 100)
ratio
What is the mean?
9, 4, 8
7
A histogram with two peaks is described as what type of distribution?
bimodal
Calculate the z-score: a value of 40, mean of 50, standard deviation of 5.
-2
What is the probability of drawing a diamond from a standard deck of 52 cards?
0.25
(13/52)
Gasoline Octane
(ex: Regular, Plus, Supreme)
ordinal
What is the median?
8, 4, 10, 2, 1, 9
6
A data set has a mean of 75, a median of 80, and a mode of 90. Describe the likely shape of the distribution.
negatively skewed
Two students took different tests. Sam had a z-score of +1.2, and Alex had a z-score of +0.8. Who performed better relative to their group?
Sam
What is the probability of NOT drawing a heart from a standard deck of 52 cards?
0.75
(39/52)