Q. 15 - Elementary Statistics

Question

 An integral part of doing business in the dot-com culture of the late $1990$s was frequenting the party circuit centered in San Francisco. Here high-tech companies threw as many as five parties a night to recruit or retain talented workers in a highly competitive job market. With as many as$700$ guests at a single party. the food and booze flowed, with an average alcohol cost per guest of dollar $15$ to$18$  and an average food bill of dollar $75$to$150$. A sample of guests at a dot-com party yielded the following data on number of alcoholic drinks consumed per person.

a. Find the mean, median, and mode of these data.
b. Which measure of center do you think is best here? Explain your answer.

Step-by-Step Solution

Answer

a. The mean, median, and mode of these data is $2.35, 2, 1$and$2$ respectively.

b. The measure of center do you think is best here is median.

Part (a) Step1: Given information

We need to find that mean , median,mode of data.

Part (a) Step2: Explanation

To find mean , we will get,$\mu =\frac{\sum x_i}{N}$$=\frac{47}{20}=2.35$ here $\mu$ is mean.

To find median, we will arrange data in ascending order,$0,0,1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,4,5,5$

Here the middle value is $2$ which is median.

To calculate mode, here the number that occur the most are $1$and $2$. so mode is$1$and $2$. 

Part (b) Step1: Given information

We need to find that which measure of center  is best here .

Part (b) Step2: Explanation

The  measure of center which is best here is median because when there are extreme values or outliers because it is not affected by the precise numerical values of the outliers which will not be in mean.