Lesson 1260 of 1524
Statistical Analysis in Finance
The standard deviation and variance are measures of the spread of a data set.
Practice this chapterThe standard deviation and variance are measures of the spread of a data set. Several measurements are used to provide the average of a data set, including mean, median, and mode.
The terms mean and average are often used interchangeably. The geometric mean redistributes not the sum of the values but the product by multiplying all of the individual values and then redistributing them in equal portions such that the total product remains the same.
geometric mean — a measure of center of a data set, calculated by multiplying the data values and then raising the product to the exponent 1 n , where n is the number of data values. standard deviation — a measure of the spread of a data set that indicates how far a typical data value is from the mean. variance — the measure of the spread of data values calculated as the square of the standard deviation. mode — the most frequently occurring data value in a data set.
Worked example
What does “geometric mean” mean in Statistical Analysis in Finance?
- 1Use the wording this chapter gives for geometric mean.
- 2The book says: a measure of center of a data set, calculated by multiplying the data values and then raising the product to the exponent 1 n , where n is the number of data values.
- 3Do not use the meaning of standard deviation. That term means a measure of the spread of a data set that indicates how far a typical data value is from the mean.
Result: a measure of center of a data set, calculated by multiplying the data values and then raising the product to the exponent 1 n , where n is the number of data values
Why. That is the meaning this chapter gives for geometric mean.
Do not swap geometric mean and standard deviation. geometric mean means a measure of center of a data set, calculated by multiplying the data values and then raising the product to the exponent 1 n , where n is the number of data values. standard deviation means a measure of the spread of a data set that indicates how far a typical data value is from the mean.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.