Reference no: EM132458348

Question 1: discuss the different measures of central tendency and when each of them is most appropriate.

Remember that you need to respond/comment to this 3 students as well.

Respond 1. the chapter mentions several types of numerical measures used in descriptive statistics. Some of the ways mentioned are median, mean, and mode. Mean, median, mode are used to describe a set with a single value. Mean is an average set of numbers. It is also the most common measure of central tendency. You can calculate the mean by adding all the numbers in a data set and dividing that amount by the total number in the set. For example, you may use mean to calculate your grades in a class. Mean is most appropriate when you want to get an overall idea of a data set. The next numerical measure used in the chapter is median. Median is first calculated by arranging the numbers from lowest to highest. The number that falls in the middle of the set of the numbers is the median. It is typically the middle value. The benefit of median is that it is not influenced by outliers. Median is used mostly for skewed distributions. Lastly, the mode is also a numerical measure used in descriptive statistics. Mode is calculated by finding the value most commonly used in a data set. According to the chapter, mode is a great way to categorize data. Unfortunately it is not really unique when it comes to describing data.

Respond 2. the measures of central tendency are the mean, median, and the mode. The mean is the most used central tendency. It is the average measure that is used to find discrete and continuous data. It is the sum of all values in a data set divided by the number of values in the data set. The importance of this central tendency is to produce the lowest amount of error from all values in a data set. The median is used when the data is measured on an ordinal scale. The importance of median is to determine the missing or undetermined values in your data. The mode shows the categorical data. It is used when measuring the data on a nominal scale.

Respond 3. There are 3 main measures of central tendency are the mean , median , and the mode. The mean is considered the average, its most useful to use the mean when the data set is has no extreme values, meaning there are no values that are much higher or much lower than the rest of the data set. The median is the middle value , its best to use it when the data set has extreme values because it will be easier to find the middle number. The mode is the most common number in the data set, its best to use the mode when the data has repeating values.