# Year Eight Mathematics Worksheets

In mathematics, skewness is a term used to describe the way a set of data is distributed. It is a measure of the symmetry of a data set. If a data set is symmetrical, it is said to be normally distributed and the skewness is zero. If the data set is not symmetrical, it is said to be skewed and the skewness is either positive or negative.

**Positive Skewness:** Positive skewness occurs when the data set has a long tail to the right, which means that the majority of the data is clustered to the left, and there are a few large values to the right.

**Negative Skewness:** Negative skewness occurs when the data set has a long tail to the left, which means that the majority of the data is clustered to the right, and there are a few large values to the left.

**Measures of Skewness:** There are several measures of skewness, but the most common is the Pearson’s coefficient of skewness. This measure gives an idea of the amount of skewness in the data set. If the value of the Pearson’s coefficient of skewness is zero, it means the data set is symmetrical and the distribution is normal. If the value is positive, it means the data set is positively skewed and if the value is negative, it means the data set is negatively skewed.

Another measure of skewness is the mode-based skewness. This measure calculates the difference between the mean and the mode (the value that occurs most frequently in the data set). If the mean is greater than the mode, the data set is positively skewed, and if the mean is less than the mode, the data set is negatively skewed.

**Uses of Measures of Skewness:** Measures of skewness are useful in many areas of mathematics and statistics, including statistical analysis, hypothesis testing, and quality control. For example, in quality control, measures of skewness can be used to determine if a manufacturing process is producing products that are within the desired specifications. In statistical analysis, measures of skewness can be used to determine if a data set is normal or if it requires further investigation.

In conclusion, skewness is a measure of the symmetry of a data set and it is used to determine if a data set is normally distributed or if it is skewed. Understanding skewness is an important concept for kids to learn, as it is used in many areas of mathematics and statistics.

# Year Eight Math Worksheet for Kids – Measures of Skewness

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