Descriptive Vs. Inferential Statistics- Statistics is the science of analyzing data. When you are presented with the daily closing prices of...

## COURSE

## Statistical Concepts and Market Returns

This course is a part of CFA Level I Study Material.

You will learn about descriptive statistics such as central tendency, location, dispersion, and return distributions such as symmetry, skewness, and kurtosis.

#### Course Downloads

Study Notes for CFA Level I

- Depending on the information we want the data to represent, we can choose one of the four measuremen...
- Earlier we took an example of measuring the average savings for a group of 100 families. This data o...
- The data in a frequency distribution can also be presented using relative frequencies. ![rf1](https...
- ##### Histogram The data in a frequency distribution can be presented using a histogram. A histogra...
- The measures of central tendency identify what is the center of a data set. These are the most widel...
- Arithmetic mean is the simple average of all observations and is calculated by adding all the observ...
- One characteristic of an arithmetic mean is that all observations have equal weight (=1/N). However,...
- One problem with arithmetic mean is that it assumes the returns on the investment made at the beginn...
- Harmonic mean is calculated by dividing the number of observations (n) by the sum of reciprocals of ...
- ### Median Median refers to the midpoint or the middle value of a data set after sorting the values...
- A quantile refers to a value at or below which a stated fraction of the data lies. Quantile is a gen...
- In investment management, one of the most important things for an investor is the trade-off between ...
- Risk is the possibility that actual returns might differ, or vary, from expected returns. In fact, a...
- Chebyshev’s Inequality is used to describe the percentage of values in a distribution within an inte...
- We earlier learned about calculating the [variance and standard deviation](https://financetrain.com/...
- While deciding about what investments to make, one should weigh the rewards versus the risks of the ...
- We say that a distribution is symmetric, if it is equally balanced on both sides of the mean. This m...
- The skewness of a distribution can have an impact on the location of mean, median and mode. The rel...

## LESSONS

Types of Measurement Scales

Parameter, Sample Statistic, and Frequency Distrib...

Relative Frequencies and Cumulative Relative Frequ...

Properties of a Data Set (Histogram / Frequency Po...

Measures of Central Tendency

Calculating Arithmetic Mean

Calculating Weighted Average Mean

Calculating Geometric Mean

Calculating Harmonic Mean

Calculating Median and Mode of a Data Set

Quartiles, Quintiles, Deciles, and Percentiles

Range and Mean Absolute Deviation

Variance and Standard Deviation

Chebyshev’s Inequality

Coefficient of Variation

Sharpe Ratio

Skewness and Kurtosis

Relative Locations of Mean, Median and Mode