Which of the following summary measures is affected by extreme values?

Which of the following summary measures is affected by extreme values?

An extreme value can affect the value of the median only if it is really large. An extreme value will not affect the value of the median any more than other values. Extreme values can influence the median in the same way as the mean. No values, extreme or otherwise, can affect the value of the median.

Which of the following measures is affected most by extreme values?

Arithmetic mean

What measure of central tendency is affected by extreme values?

Median

Which measure is most likely to be affected by the presence of an extreme value in the data set?

Outliers are numbers in a data set that are vastly larger or smaller than the other values in the set. Mean, median and mode are measures of central tendency. Mean is the only measure of central tendency that is always affected by an outlier.

Which measure is not affected by extreme values?

Median is the middle most value of a given series that represents the whole class of the series.So since it is a positional average, it is calculated by observation of a series and not through the extreme values of the series which. Therefore, median is not affected by the extreme values of a series.

Is standard deviation affected by extreme values?

Although standard deviation is less susceptible to extreme values than the range, standard deviation is still more sensitive than the semi-quartile range. If the possibility of high values (outliers) presents itself, then the standard deviation should be supplemented by the semi-quartile range.

What is meant by extreme values?

These characteristic values are the smallest (minimum value) or largest (maximum value), and are known as extreme values. For example, the body size of the smallest and tallest people would represent the extreme values for the height characteristic of people.

Is Mean Deviation affected by extreme values?

It is not much affected by extreme values. For calculating mean deviation, deviations can be taken from any average.

How does one extreme score influence the mean and standard deviation?

Describe how one extreme score influences the mean and standard deviation. The mean increased when a smaller score was replaced by a larger score. The standard deviation increased when a score close to the mean was replaced by a score farther away from the mean.

How does an extreme scores affect the mean median and mode?

– the mode is a score or category – not a frequency! The median is not influenced by extreme scores to either side of the dividing point. The only scores that have an effect are the two scores immediately next to the median.

Which measure of tendency is not affected by extreme values?

When there are extreme numbers in the data set (very low or very high numbers), the median is a good choice for a measure of central tendency. The extreme numbers have less effect (or no effect at all) on the median.

Which is the most powerful measure of central tendency?

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.