Ch 11: Basic Data Analysis for Quantitative Research Flashcards
Market analytics can help __________
better understand the responses
Almost all data needs summary statistics to ___
describe the information it contains
Statistical Analysis
every set of data collected needs a summary developed that describes the number it contains
Three types of statistical analysis
Central Tendency & Dispersion
Relationships of the Sample Data
Hypothesis Testing
Measures of Central Tendency
Mean, Median, Mode
What do the measures of central tendency locate?
the center of the distribution
Likely to recommend X to a friend
7-point scale (Interval Scale) Question
Mean
The arithmetic average of the sample. All values of the distribution are added and divided by the number of responses.
Median
The middle value of a rank-ordered distribution. Exactly half the value is above and half are below the value.
Mode
The most common value in the set of responses in a question. The most given responses to a question.
Mean should only be calculated with _____
interval and radio data.
Median and Mode can be calculated on _____
all types of data.
x24 – Likely to Recommend Restaurant to a Friend – Jose’s Mean (4.07) is higher than Santa Fe Mean (3.61). This means _____________
Jose’s customers are more likely to recommend that restaurant to others than are the customers of Santa Fe.
Mean is the most commonly used measure of central tendency (T/F)
True
Mean is fairly insensitive to data values being added or deleted. (T/F)
True
If extreme values are added to the distribution, the Mean is NOT subject to distortion. (T/F)
False
Compare coffee consumption between two groups: Male and Female.
A=1 cup, B=10 cups, C=5 cups, D=6 cups.
Males (A+B) = 1+10= 11 / 2 = 5.5
Females (C=D) = 5+6=11 / 2 = 5.5
By looking at the mean, you don’t see any differences between the two groups. However, considering _____________ , we must conclude there are some differences. Therefore, the mean is ________ our understanding of coffee consumption patterns of males and females.
Underlying Distribution, Distorting
The Median is ordered in ONLY ascending sequence. (T/F)
False.
If the Median number of coffee cups consumed is 4, that means ___________________
the number of cups of coffee consumed above and below this number would be the same.
If there is an even number of data observations, the median is generally considered to be __________
the average of two middle values
If there is an odd number of data observations, the median is generally considered to be __________
middle value
Ordinal data and skewed data (left or right) are most useful for which measure of central tendency?
Median
Income data is skewed right since there is no upper limit on income. Which measure of central tendency is best for this?
Median
The mode represents the _________ in the distribution’s graph.
highest peak
The mode is especially useful as a measure of data that has been somehow grouped into categories. (T/F)
True
Each measure of central tendency has its own strengths and weaknesses. (T/F)
True
Nominal data best measure is ___
Mode
Ordinal data best measure is ____
Median
Interval or Radio data best measure is ___
Mean, except when there are extreme values/outliers
When outliers are present, the __________ are likely to provide more useful information about the central tendency of the distribution.
median and mode
If you want to report the mean with outliers, you should _______
remove the outliers first
Measures of Dispersion
Range, Standard Deviation, Variance
What do measures of dispersion describe?
How close the mean, or other measures of central tendency, fall
Using measures of dispersion, you can find out if most of the respondents had similar opinions. (T/F)
True
Range and Standard Deviation describe the ________
variability in a distribution of numbers
Range
The distance between the smallest and largest values in a set of responses; the spread of data.
Standard Deviation
The average distance of the distribution values from the mean