Asked Nov 30, 2019

given the following hourly wages 3, 2, 10, calculate the following:

arithmetic mean




standard deviation

meaning of the answer (standard deviation)


Expert Answer

Step 1

Given data

3, 2, 10

Arithmetic mean  

The arithmetic mean (also called the meanis the most commonly used measure of central tendency. It is calculated by summing up the observed numerical values of a variable in a set of data and then by dividing the total by the number of observations involved.

 = (Σxi)/n  = (3+2+10)/3 = 5


The median is the middle-most observation in an ordered (in an ascending or descending order) data set. For an odd number of observations, n in the data set, the median is the observation in the (n + 1)/2th position. For an even number of observations, n in the data set, the median is the observation in the average of the observations in the (n/2)th position and the (n/2 + 1)th position


Median = 3

Step 2


Mode is the most frequently occurring value in the data set. Here we do not have a mode because each value occurs once.


It is difference between the highest and lowest valu...


Image Transcriptionclose

Σ(xx) (3 5)2(2 5)2 (10 5)2 4.359 2 n-1


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: 56​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. F...

A: (a)The probability that the number of U.S. adults who have very little confidence in newspapers is ​...


Q: 6) A Boeing airliner carries 200 passengers and has doors with heights of 72 inches. Heights of men ...

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts ...


Q: The table below gives the list price and the number of bids received for five randomly selected item...

A: The regression analysis is conducted here by using EXCEL. The software procedure is given below:Ente...


Q: IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 12. What...

A: It is given that the mean and standard deviation are 100 and 12, respectively.


Q: The mean age of all 686 used cars for sale in a newspaper one Saturday last month was 7.7 ​years, wi...

A: Statistic:If the value is a numerical measurement describing a characteristic of a sample then it is...


Q: 11) Randomely selected students participated in an experiment to test their ability to determine whe...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...


Q: The number of points held by a sample of the NHL's highest scores for both the eastern conference an...

A: Given data


Q: A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that ...

A: The hypotheses used for testing are given below:


Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)...

A: The regression line equation is as follows: