AP PSYCHOLOGY

PSYCHOLOGYS HISTORY APPROACHES

SCIENTIFIC FOUNDATIONS OF PSYCHOLOGY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In a normally skewed distribution, which of the measures of central tendency would be of the highest value?
A
Mean
B
Median
C
Mode
D
All are equal
E
Central tendency cannot be shown on a normally skewed distribution
Explanation: 

Detailed explanation-1: -When you have a symmetrical distribution for continuous data, the mean, median, and mode are equal. In this case, analysts tend to use the mean because it includes all of the data in the calculations. However, if you have a skewed distribution, the median is often the best measure of central tendency.

Detailed explanation-2: -In a skewed distribution, the median is often a preferred measure of central tendency, as the mean is not usually in the middle of the distribution.

Detailed explanation-3: -Of the three measures of tendency, the mean is most heavily influenced by any outliers or skewness. In a symmetrical distribution, the mean, median, and mode are all equal. In these cases, the mean is often the preferred measure of central tendency.

Detailed explanation-4: -When you have a normally distributed sample you can legitimately use both the mean or the median as your measure of central tendency. In fact, in any symmetrical distribution the mean, median and mode are equal.

Detailed explanation-5: -The median is less influenced by these outliers. Therefore, the median is a more appropriate measure of central tendency than the mean if the distribution of data is extremely skewed. The answer is true.

There is 1 question to complete.