Exploring Data: Measures of Central Tendency Definitions & Terminology
Does Not
If a data set contains an even number of measurements, then the median does/does not belong to the data set.
Is No
If two or more values in a sample are tied for the highest frequency (number of occurrences) there is/is not a mode.
e
µ denotes: a) Sample Size b) Sample Mean c) All the values of the variable x d) Population Size e) Population Mean
a
'i' denotes: a) position (1st, 2nd, etc) b) sum of the first five measurements c) amount of measurements
c
In the formula above 5 denotes: a) position (1st, 2nd, etc) b) sum of the first five measurements c) amount of measurements
a
In the formula above i denotes: a) position (1st, 2nd, etc) b) sum of the first five measurements c) amount of measurements
b
In the formula above ∑ denotes: a) ith, that is position b) sum of the first five measurements c) amount of measurements
c
In the formula above ∑ denotes: a) ith, that is position b) sum of the first five measurements c) amount of measurements
Central Tendency
Measures of ____________ include arithmetic mean; median; mode, and range.
a
Measures of central tendency find: a) Average b) Position c) Value
Measures of Central Tendency
Numerical values that locate, in some sense, the center of the data.
a
Summation notation indicates: a) The sum of a set of measurements b) The mean c) The median d) The mode
Depth
The ____ of the median is the number of positions on either end.
Mean
The average of all numbers in a given set; denotes by x bar.
a
The formula above denotes: a) Sample Mean b) Population Mean
b
The formula above denotes: a) Sample Mean b) Population Mean
a
The image above denotes: a) Arithmetic Mean b) Mode c) Midrange d) Median
Is not
The mean is/is not resistant.
Midrange
The mean of the maximum and minimum values in a data set; a measure of central tendency.
Median
The mean of the middle two measurements in an even data set.
Is
The median is/is not resistant.
Midrange
The midpoint of the range.
Is not
The midrange is/is not resistant.
Is
The mode is/is not resistant.
Midrange
The number exactly midway between the lowest valued data (L) and the highest valued data (H); found be averaging the low and high values.
Median
The number separating the higher half of a data sample, a population, or a probability distribution, from the lower half.
Average
The number that measures the central tendency of a given set of numbers; including but not limited to: mean, median, mode and range.
Mean
The sum of a collection of numbers divided by the number of numbers in the collection.
e
The symbol M denotes: a) Sample Mean b) Sample Median d) Population Mean e) Population Median
Median
The value of data that occupies the middle position when all data are ranked in order according to size; denoted by x tidle.
Mode
The value of x that occurs most frequently.
Mode
The value that appears most often in a set of data.
c
What does the formula above denote? a) Median b) Sample Median c) Median Depth d) Population Median
d
What does the symbol above denote? a) Arithmetic Mean b) Mode c) Midrange d) Median
µ
What is the symbol for population mean?
∑
What symbol indicates the sum of set of measurements?
b
When a measure of central tendency is declared 'not resistant' it implies: a) The measurement is not scientifically robust b) The measurement is not resistant to changes caused by outliers c) The measurement is not resistant to variable change
b
X bar denotes: a) Sample Size b) Sample Mean c) All the values of the variable x d) Population Size e) Population Mean
