###
Measure of Center

A value at the center or middle of a data set

###
Mean

The measure of center found by adding the data values and dividing by the total number of data values

###
Sample Size

The number of sample values, denoted by "n"

###
"x bar"

The mean of a set of sample values

###
Does not vary as much as other measures of center

What is an advantage of using the mean versus other measures of center?

###
It is more resistant to outliers

What is an advantage to using the median versus other measures of center?

###
Median

the measure of center that is the middle value when the original data values are arranged in order of increasing or decreasing magnitude. "~ over x = x tilde"

###
Mode

The value that occurs with the greatest frequency

###
Bimodal

when two data values occur with the same greatest frequency, each one is a mode and the data set is:

###
Multimodal

When more than two data values occur with the same greatest frequency, each is a mode and the data set is said to be:

###
No mode

When no data value is repeated, the data set is said to have:

###
mode

What measure of center is the only one that can be used at the nominal level?

###
Midrange

What measure of center is so sensitive to outliers that it is rarely used?

###
Midrange

A measure of center that is the value midway between the maximum and minimum values in the original data set.

###
( maximum data value + minimum data value) / 2

Formula for midrange

###
Round-off Rule

Carry one more decimal place than is present in the original set of values

###
sum of ( frequency * x) / sum of all frequencies

formula for mean from frequency distribution (use class midpoints)

###
weighted mean

data values are assigned different weights

###
sum of (w * x) / sum of w

formula for weighted mean

###
skewed

A distribution of data is ___________ if it is not symmetric and extends more to one side than to the other.

###
Skewed to the left (also called negatively skewed)

Data that has a longer left tail, and the mean and median are to the left of the mode.

###
Skewed to the right (also called positively skewed)

Data that has a longer right tail, and the mean and median are to the right of the mode

###
No

Can the mean and the median always be used to identify the shape of the distribution? (Yes/No)

###
Range

The difference between the maximum data value and the minimum data value

###
max data value - min data value

formula for range

###
too sensitive to outliers

What is the downfall of range?

###
round-off rule for measures of variation

When rounding the value of a measure of variation, carry one more decimal place than is present in the original set of data

###
Standard Deviation (denoted by s)

The ____ ____ of a set of sample values is a measure of variation of values about the mean.

###
positive

Is standard deviation usually negative or positive?

###
zero

When all the data values are the same number, the standard deviation is

###
greater amounts of variation

Larger values for standard deviation indicate

###
original data values

The units on standard deviation are the same as the

###
Variance

The _______ of a set of values is a measure of variation equal to the square of the standard deviation.

###
Different

The units of variance are (same/different) than the units of the original data

###
Range rule of thumb

For many data sets, the vast majority of sample values lie within two standard deviations of the mean. This is called the:

###
mean - 2 * standard deviation

minimum "usual" value formula

###
mean + 2 * standard deviation

maximum "usual" value formula

###
unusual

A value is ______ if it differs from the mean by more than two standard deviations

###
Empirical Rule

for data sets that are bell shaped, 68% will be within one standard deviation, 95% will be within two deviations, and 99.7% will be within three deviations. This is called the:

###
mean absolute deviation

sum of ( absolute value of ( x - "x bar")) / n

###
Coefficient of Variation

The ________ ___ _______ for a set of nonnegative sample or population data, expressed as a percent, describes the standard deviation relative to the mean

### Please allow access to your computer’s microphone to use Voice Recording.

## We can’t access your microphone!

### Click the icon above to update your browser permissions and try again

Example:

### Reload the page to try again!

Reload

## Press Cmd-0 to reset your zoom

## Press Ctrl-0 to reset your zoom

### It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.

## Your microphone is muted

### For help fixing this issue, see this FAQ.