**Discussion Identifying And Interpreting Descriptive Statistics**

Examine the survey results downloadable from the link below. Choose one of the items, determine the descriptive statistic that is reported, and indicate what it means. For example, “What is the highest level of education of this group?” (Please do not repeat the same topic as your classmates.)

Hypothetical Results from Survey

I need one full page with two references to support the evidence.

**Use the scholarly articles that are less than 5 years published to support the evidence and another one from the book we are using in the class.**

**Descriptive statistics** are useful for describing the basic features of data, for example, the summary statistics for the scale variables and measures of the data. In a research study with large data, these statistics may help us to manage the data and present it in a summary table. For instance, in a cricket match, they can help us to manage records of the player and also help us to compare one player’s records with another player’s records Discussion Identifying And Interpreting Descriptive Statistics.

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**Types of Descriptive Statistics**

1. Measure of central tendency: The measure of central tendency measures the average value of the sample. In descriptive statistics, there are two types of averages: the first are the mathematical averages and the second are the positional averages.

The mathematical averages are of three types: arithmetic mean, geometric mean, and harmonic mean. The arithmetic mean is the most widely used measure for central tendency; it can be obtained by adding all the items of the series and dividing this total by the number of items. In descriptive statistics, the geometric mean is defined as the nth root of the products of all the n values of the variable. In descriptive statistics, the geometric mean is used when the items in the series are very large. The harmonic mean is defined as the reciprocal of the item. The harmonic mean is useful in finding the averages that involve speed, time, price and ratio Discussion Identifying And Interpreting Descriptive Statistics.

There are two types of positional average: the median and the mode. The median is the average value of the series in which half the values are less than the median and half the values are greater than the median. The mode, the second positional average, shows a higher frequency in the series.

2. Measure of dispersion: In descriptive statistics, we can elaborate upon the data further by measuring the dispersion. Usually the range of the standard deviation and variance is used to measure the dispersion. In descriptive statistics, range is defined as the difference between the highest and the lowest value. The standard deviation and variance are usually used to measure the dispersion. Standard deviation is also called the root mean square deviation. Variance is also used to measure the dispersion, which can be simply derived from the square of the standard deviation.