Description:
Arithmetic mean, median, and mode
are resistant measures of central tendency. In a perfectly symmetrical distribution the range equals the interquartile range. In left-skewed distributions the distance from Q1 to Q2 is smaller than the distance from q2 to q3.
Which of the following are resistant measures of central tendency quizlet?
median as the central tendency
and interquartile range as the measure of dispersion because these measures are resistant. What 2 measures are resistant?
Which one of the following statistics is resistant to outliers?
Use median
if the distribution has outliers because the median is resistant to outliers. measures of spread are range, IQR, and standard deviation.
Which of the following measures is not sensitive to extreme observations?
Median
is commonly used, always exists, and not sensitive to extreme values. Mode: The mode of a data set is the value that occurs most frequently. When two values occur with the same greatest frequency, each one is a mode and the data set is bimodal.
Which of the following measures of dispersion is resistant if any?
The interquartile range
is a resistant measure of dispersion. The upper and lower fences can be used to identify potential outliers.
Which measure of central tendency best describes the data quizlet?
Since the data set is not skewed, the central tendency that best describes the “center” of the distribution is
the mean
. The arithmetic mean of a variable is computed by adding all the values of the variable in the data set and dividing by the number of observations.
What measure of central tendency best describes the center?
Mean
is the most frequently used measure of central tendency and generally considered the best measure of it. However, there are some situations where either median or mode are preferred. Median is the preferred measure of central tendency when: There are a few extreme scores in the distribution of the data.
Which measure of spread is considered resistant?
| Numerical Measure Sensitive Measure Resistant Measure | Measure of Center Mean Median | Measure of Spread (Variation) Standard Deviation (SD) Interquartile Range (IQR) |
|---|
Why is the median a resistant measure of center?
The median M is the midpoint of a distribution, the number such that half the observations are smaller and half are larger. …
The median is not affected by outliers
, therefore the MEDIAN IS A RESISTANT MEASURE OF CENTER. For a symmetric distribution, the MEAN and MEDIAN are close together.
What is the five number summary of a distribution?
A summary consists of five values:
the most extreme values in the data set (the maximum and minimum values), the lower and upper quartiles, and the median
. These values are presented together and ordered from lowest to highest: minimum value, lower quartile (Q
1
), median value (Q
2
), upper quartile (Q
3
), maximum value.
Which descriptive summary is considered resistant statistics?
Description:
Arithmetic mean, median, and mode
are resistant measures of central tendency. In a perfectly symmetrical distribution the range equals the interquartile range. In left-skewed distributions the distance from Q1 to Q2 is smaller than the distance from q2 to q3.
Which measures of variation is most affected by extreme values?
The maximum is the largest value in the dataset and the minimum is the smallest value.
The range
is easy to calculate but it is very much affected by extreme values. Like the range, the IQR is a measure of variability, but you must find the quartiles in order to compute its value.
Which measure of central tendency can be used for both numerical and categorical variables quizlet?
Which measure of central tendency can be used for both numerical and categorical variables? a) Arithmetic mean.
Which measure of central tendency is resistant?
Median
is the most resistant to variation in sampling because median is defined as the middle of ranked data so that 50% values are above it and 50% below it. As such, the extreme values are unable to affect median.
Which of the following are resistant measurements?
A measure that is not influenced by outliers.
Median and IQR
are examples of resistant measures.
Is mode a resistant measure?
Lesson Summary
The mode is a
measure of the most frequently occurring number in a data set
and is most useful for categorical data and data measured at the nominal level. The mean and median are two of the most commonly used measures of center. … The median is resistant.
