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Mean
also known as average
Mean
is defined to be the sum of the data values divided by the total number of values
Mean
is the sample of the values, divided by the total number of values.
x̄
this symbol represents the sample mean
Mean
it is the most familiar measure used, and it employs all available information
Mean
it is affected by the value of every observation. In particular, it is strongly influenced by extreme values
Mean
since it is a calculated number, it may not be an actual number in the data set.
Median
the __ of a set of data is defined as the middle value when the data is arranged inorder of magnitude
Median
it is a positional measure.
Median
it is affected by the position of each item in the series but not by the value of each item. This means that extreme values affect the __ less than the arithmetic mean
Mode
the __ of a set of data is the value which occurs with the greatest frequency.
Mode
it is therefore the most common value
Mode
it does not always exist; and if it does, it may not be unique
Mode
it is not affected by extreme values.
Mode
it can be used for qualitative as well as quantitative data
Symmetrical Distribution
it is a type of probability distribution where the data is evenly distributed around the center or mean of the distribution.
Same
in a perfectly symmetrical distribution, the mean and the median are the __
Skewness
it measures the asymmetry of a distribution
Negative Skewness
it indicates that the extreme values (outliers) are more likely to be on the lower side of the distribution
Higher Values
the bulk of the data is concentrated on the __
Positive Skewness
it indicates that the extreme values (outliers) are more likely to be found on the right side of the distribution, causing the right tail to be longer.
Variability
it provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out or clustered together.
Range
it is the highest value minus the lowest value. The symbol ! is used for the range.
Variance
it is the average of the squares of the distance each value is from the mean.
Standard Deviation
it is the square root of the variance.
Low Standard Deviation
it indicates that the data points tend to be very close to the mean.
High Standard Deviation
it indicates that the data points are spread out over a large range of values.
Coefficient of Variation
it is a statistic that allows you to compare standard deviations when the units are different, denoted by CVar.
Proper Function
it is a function used to capitalize the first letter of each word in a text string, while converting all other letters to lowercase. This is useful for formatting names and titles consistently.
formula for proper function
=PROPER(
Trim Function
it is used to remove extra spaces from text, leaving only single spaces between words and no spaces at the beginning or end of the text.
=TRIM(
formula for trim
Trim and Proper Functions
you can combine __ to clean and properly format text simultaneously.
Upper Function
it converts text to uppercase
Lower Function
it converts text to lowercase.
=UPPER(A1)
formula for upper function
=LOWER(B1)
formula for lower function
=COUNTIF($-$-$-)
frequency
=COUNT(-:-)