4. Measuring central tendency Aa Aa Three primary statistics are used to describ

Question

4. Measuring central tendency Aa Aa Three primary statistics are used to describe a variable's central tendency, defined as the average behavior of the variable. You can use these statistics, known as the mean, the median, and the mode, to draw meaningful conclusions about a variable's past behavior and to predict its future behavior An investor is considering a stock with the following returns over the past 12 years: Year Annual Return Year Annual Return 896 12 14 9% 8 10 12 Mean The mean, also known as the arithmetic mean, tells the The mean adds up all the observations and divides by the number of observations, as shown in the following formula: value a variable is expected to take The mean (or average) return for this stock over the past 12 years is mean, while represents a For notational purposes, x-bar represents a However, they are calculated the same way mean Median The median indicates the lies above the median and the other half lies below it. observation in a data set. The median tells us that half the data set If you list all your observations in numerical order, the median would be the middle observation. For data sets with an odd number of observations, identifying the median is easy. However, for data sets with an even number of items, there is no "middle." In that case, you average the two middle observations to find the median Now, present the stock return data in ascending order: 4%, 5%, 5%, 6%, 6%, 6%, 7%, 8%, 8%, 9%, 12%, 14% This data set has 12 observations, so average observations 6 and to find the median, whichs

Explanation / Answer

MEAN

The mean also called arithmetic mean tells that unexpected value of a variable is to be taken.

The mean over the past 12 years is calculated as:

8+12+14+8+6+6+9+5+5+4+6+7/12 = 7.5

For notional purpose x- bar represent as a mean and µ represent for prefix multiplier. However, they are calculated in the same way.

MEDIAN

The Median indicates the middle value in the data of the set.

The dataset has 12 observations so the average observations of 6 and 7 to find the median, which is

6+7/2 = 13/2= 6.5%.

When the median is higher or lower then the mean it will be considered as the Effect of Skew which may affect the result.

Are there is any outliner in sample data?

The answer would be No.

MODE

The mode indicates the most often observations. In the stock return data, the mode is occurring most time than any other because it occurs in 3 times.

So in the question, the mode is 6 as it occurs 3 times.

Answer of the question:

The weight of Average linebacker = 3375/15 =225.

Weight is most common amongst the linebackers is 227.

The average weight of the linebackers is 227+227/2 = 454/2= 227. (The seventh and the Eight-term)

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