Denoted by Q1, this separates the lowest 25% of the data from the highest 75%
a.k.a... the 25th percentile -
Highest data value - lowest data value
Denoted by Q3, separates the lowest 75% from the highest 75%
a.k.a... the 75th percentile
A measure of spread that is found by finding the squared deviation for every data value, adding them up then dividing by N.
The higher the value, the more spread out the data values are.
Data value minus the mean.
If this is added up for every data value, the sum will be zero.
Denoted by Q2, this separates the lower 50% of the data from the upper 50%
a.k.a....the 50th percentile and the median
For any data set,
at least 75% of the data will be within K = 2 standard deviations from the mean;
at least 88.9% of the data will be within K = 3 standard deviations of the mean
This is found by taking the square root of the variance whether it is a sample variance or population variance.
The higher the value, the more spread the data values are.
For a sorted data set with an odd number of values in the set, this is the "middle".
For a sorted data set with an even number of values in the set, this is the average of the middle two numbers.
a.k.a .... second quartile or 50th percentile.
The data value that appears the most in a data set.
A data set can possibly have more than one ( if there is a tie for most frequent) or none at all if all data values have the same frequency.
An approximation where the midpoint of a class is calculated then multiplied by the frequency of the class. This product is added for every class then divided by the sum of all the frequencies.
Down
Q3 - Q1 ; used to determine outliers
A measure of spread that is found by finding the squared deviation for every data value, adding them up then dividing by N - 1.
The higher the value, the more spread out the data values are.
A statistic that is not affected much by extreme values in the data set.
Divides a data set into hundredths.
Provides a location for a data value in a set where n% of the values are below it.
For a symmetric or bell shaped curve only:
68% of the data values are within one standard deviation from the mean;
95% of the data values are within two standard deviations from the mean;
almost all of the data values are within 3 standard deviations from the mean.
An extreme value; found by calculating
Q1 - 1.5*IQR
Q3 + 1.5*IQR
Arithmetic average,
add up all the data values, then divide by the total number of data values
A measure of position that gives the number of standard deviations above or below the mean.
Calculated by getting the difference between the data value and the mean, then dividing by the standard deviation.
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