# Which measure of spread is most affected by outliers ## What percentage of spread is most affected by outliers

standard deviation

## How do you measure spread of data?

Measures of spread are the range, the quartiles, and the interquartile range. They also include variance and standard deviation. Spread can be measured when: Because the variables are numerical, the spread can be measured using quantitative data. The variables can be arranged in a logical sequence with a low and high end value.

How do you describe the spread of data?

The spread in data refers to the distance between the mean and median numbers in a set of data. The interquartile range is another way to determine the spread in a data set. This is the difference between upper and lower quartile values.

### What is an appropriate measure of spread for data that are really skewed?

If the distribution is too skewed to the right or left, with high or low outliers, the median is the best way to locate the center. When the median is at the center, the IQR is the best way to measure spread. If the median is the mean, the standard deviation should be used. It measures the distance between data points and the mean.

### What is the best measure of Center for skewed data?

median

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Which measure of center is best for symmetric data?

mean

#### What is the best measure of Center for the histogram?

Histogram Form Generally, when data is skewed the median is better to use as the measure for a typical value. When the data is not symmetric, we use the median as the measure for the center.

#### Where is the center of a skewed histogram?

For a dataset with a bell-shaped histogram the average is the best estimate for the histogram’s center. For a dataset with a bell-shaped histogram, the average is the best estimate of its center.

Which of the following tools are most appropriate to measure the center and spread for this distribution?

If the shape is not straight, with outliers or to the left, then the median should determine the center. The IQR is the best way to measure spread when the median lies at the center. If the distribution is not symmetrical, median and IQR should be used.

## What is the average of all data points in a data set?

Mean can be described as another name for average. Add all the data values together, and then divide the result by the number of data sets. Your mean is the result! This tutorial will show you how to find the mean.

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## What is the most frequent data?

Compare mean, median, and mode

Type Description Example
Arithmetic mean Sum of values of a data set divided by number of values (1+2+2+3+4+7+9) / 7
Median Middle value separating the greater and lesser halves of a data set 1, 2, 2, 3, 4, 7, 9
Mode Most frequent value in a data set 1, 2, 2, 3, 4, 7, 9

Is it possible for a data set to have more than one mode?

In a set data, the mode refers to the most often observed data value. If one value is more frequent than another, there may not be a mode. There may also be two modes (bimodal), three modes (trimodal), or four or more modes (multimodal)

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