# What do you mean by skewness?

**Skewness**is asymmetry in a statistical distribution, in which the curve appears distorted or

**skewed**either to the left or to the right.

**Skewness**can be quantified to define the extent to which a distribution differs from a normal distribution. This situation is also called negative

**skewness**.

A.

### What does it mean to be skewed left?

For a

**right skewed**distribution, the mean is typically greater than the median. Also notice that the tail of the distribution on the**right**hand (positive) side is longer than on the**left**hand side.#### Can you have a skewed normal distribution?

For example, the**normal distribution**is a symmetric**distribution**with no**skew**. The tails are exactly the same. A left-**skewed distribution**has a long left tail. Left-**skewed distributions**are also called negatively-**skewed distributions**.#### What is a positive skew?

In probability theory and statistics,**skewness**is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The**skewness**value can be**positive**or negative, or undefined. The qualitative interpretation of the**skew**is complicated and unintuitive.#### What measure of central tendency best describes the center of the distribution?

The**median**is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with**ordinal**data. However, the mode can also be appropriate in these situations, but is not as commonly used as the**median**.

B.

### What is a positively skewed distribution?

A

**distribution**is negatively**skewed**, or**skewed**to the left, if the scores fall toward the higher side of the scale and there are very few low scores. In**positively skewed distributions**, the mean is usually greater than the median, which is always greater than the mode.#### How do you find an outlier?

A point that falls outside the data set's inner fences is classified as a minor**outlier**, while one that falls outside the outer fences is classified as a major**outlier**. To find the inner fences for your data set, first, multiply the interquartile range by 1.5. Then, add the result to Q3 and subtract it from Q1.#### What does it mean for a statistic to be resistant?

**Resistance**. A**statistic**is said to be**resistant if**the value of the**statistic**is relatively unchanged by changes in a small portion of the data. Referencing the formulas for the median,**mean**and mode which**statistic**seems to be more**resistant**?#### What is the central tendency?

In statistics, a**central tendency**(or measure of**central tendency**) is a**central**or typical value for a probability distribution. It may also be called a center or location of the distribution. The most common measures of**central tendency**are the arithmetic mean, the median and the mode.

C.

### How does skew affect mean and median?

Five of the numbers are less than 2.5, and five are greater. Notice that in this example, the

**mean**is greater than the**median**. This is common for a distribution that is skewed to the right (that is, bunched up toward the left and with a "tail" stretching toward the right).#### What is the relationship between the mean median and mode in a symmetric distribution?

A**distribution**in which the values of**mean**,**median and mode**coincide (i.e.**mean**=**median**=**mode**) is known as a**symmetrical distribution**. Conversely, when values of**mean**,**median and mode**are not equal the**distribution**is known as asymmetrical or skewed**distribution**.#### Which is not a measure of central tendency?

There are three main measures of central tendency: the**mode**, the median and the**mean**. Each of these measures describes a different indication of the typical or central value in the distribution. The**mode**is the most commonly occurring value in a distribution.#### What does it mean to have a high mean?

A sample's standard deviation that is of**greater**magnitude than its**mean**can**indicate**different things depending on the data you're examining. A smaller standard deviation**indicates**that more of the data is clustered about the**mean**. A**larger**one**indicates**the data are more spread out.

Updated: 25th November 2019