Data Interpretation
Central Tendency + More Miscellaneous
Measurement Scale + Graph + Central Tendency Type
Miscellaneous
Z scores
100
What is the name of the graph for the variable self-confidence above and what data is it appropriate for?
Bar graph, nominal/ordinal
100
Round this number: 90.9525
90.952
100
For the following dataset, what is the measurement scale? Which graph type would we use? Which central tendency type is best fit to find the average?
Music preference:
rock, country, soul, soul, pop, country, pop, pop, rap, techno, r&b, rock, rock, rock
Nominal, bar graph, mode
100
What makes a distribution normal?
All 3 measures of central tendency MUST be the same.
Mean = Median = Mode
100
Use the data below to solve.
N = 50
x̄ = 7
s = 2
What is the probability of getting a score of 7 or higher?
.5000
200
What is the name of this graph? What kind of data is it used for?
Histogram, ratio/interval
200
Round this number: 80.22550003
80.226
200
For the following dataset, what is the measurement scale? Which graph type would we use? Which central tendency type is best fit to find the average?
Which instrument can you play?
Piano, Piano, Guitar, Flute, Guitar, Piano, Guitar, Calculator, Violin, Violin, Piano, Guitar, Guitar
Nominal, bar graph, mode
200
How can one transform a raw score to a z score when only given the sample variance?
Take the square root of the variance (s2) to find the standard deviation (s). Then you can plug in s to the raw score to z score formula.
z = (x - x̄)/s
200
What steps would you take if you needed to find the area between 1 negative z score and 1 positive z score?
Add the B column areas together
300
Would the distribution for the above statistics table be skewed? If yes, in what way? How do you know?
Positively skewed. Mean > Median
300
What can be said about the scores of a sample with a small standard deviation?
The scores are consistent
300
For the following dataset, what is the measurement scale? Which graph type would we use? Which central tendency type is best fit to find the average?
High school Year Names:
Freshman, Senior, Senior, Sophomore, Junior, Junior, Junior, Junior, Freshman, Sophomore, Freshman, Senior
Ordinal, bar graph, median
300
The type of central tendency that outliers affect
The mean
300
The steps to find the area between 2 positive z scores.
Find their B column values and subtract the smaller area from the bigger area.
400
Rank these scores in ascending order (low to high) based on frequency.
3, 2, 5, 1, 4
400
True or False: This is the formula used to find the variance
s2 =
False. The variance formula does not call for us to square root our answer.
400
For the following dataset, what is the measurement scale? Which graph type would we use? Which central tendency type is best fit to find the average?
How many potatoes Sasha secretly ate each day in the past week:
3, 3, 2, 3, 9, 0, 0
Ratio, histogram, mean
400
The purpose of a correlational study
Measure two variables to determine if there is a relationship between them
400
N = 50
x̄ = 7
s = 2
You know your area/proportion = 0.5000
What would we do to find the actual number of scores that were greater than 7?
N x proportion = actual number
50 x 0.5000 = 25
25 scores were greater than 7
500
What are the steps to finding the relative frequency percent for married people?
Divide 29 by 80, and then multiply by 100. (Bonus: final answer = 36.25 or 36%)
500
Z-scores can only be calculated from which 2 kinds of measurement scale scores (i.e. nominal, ordinal, interval, ratio)
Interval and Ratio scores
500
For the following dataset, what is the measurement scale? Which graph type would we use? Which central tendency type is best fit to find the average?
Weight fluctuation in the past 7 days (in pounds):
-2, +0.5, +1, -0.8, -2, 0, 0
Interval, line graph, mean
500
The purpose of an experimental study
Actively manipulate the independent variable and measure the dependent variable to find out if the independent variable affected the dependent variable.
500
Just think through the steps for finding a raw score given the area between a z score and tail (as pictured below).
First, take that area (yellow = .3800) and try to find the closest number to it in the C column. Then use the corresponding A column value to find our z score. Then, use the formula x = x̄ + (z)(s) to find our raw score.