Question: A given data set has a mean and a standard deviation . a) What are the new values of the mean and the standard deviation

A given data set has a mean and a standard deviation .

a) What are the new values of the mean and the standard deviation if the same constant k is added to each data value in the given set?Explain.

b) What are the new values of the mean and the standard deviation if each data value of the set is multiplied by the same constant k?Explain.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

a) Using the given data compute the sample mean and sample standard deviation of these 215 observations. b)Ignoring the values, you have computed in part (a), now find the expected frequencies...

Q:

16. Determine if the following variable is quantitative or qualitative categorica The age of students taking a statistics course 17. If a Gatribution is bell-shaped symmetric, then which of the...

Q:

4) For the following sample data set, calculate the mean, variance, and standard deviation: 181 186 178 172 188 165 146 186 174 190 144 183 173 169 170 5) If the stated research (alternate)...

Q:

4) For the following sample data set, calculate the mean, variance, and standard deviation: 181 186 178 172 188 165 146 186 174 190 144 183 173 169 170 5) If the stated research (alternate)...

Q:

Question 2 The following data set has a mean = 51.71 and standard deviation = 23.52 2 30 38 43 48 57 68 86 2 3O 39 43 51 57 68 88 7 31 40 43 52 58 71 88 8 31 40 44 52 58 73 89 1 2 31 40 44 54 59 75...

Q:

Survey Question Number Respon dent 1 2 3 4 5 6 7 8 9 10 10 Number 1 5 1 2 4 2 4 3 1 1 1 2 5 1 1 1 4 3 1 2 2 3 3 4 1 1 1 4 2 5 1 5 1 -55 5 5 1 1 4 2 4 4 4 3 4 5 3 3 3 3 6 2 3 5 1 5 5 1 1 1 7 1 5 1 2 3...

Q:

Initially a box contains 3 balls identical in all aspects except for their colour, each of which is either white or black. Now, one white ball identical to balls in the box in all aspects except for...

Q:

The article Water Consumption in the Bay Area (San Jose Mercury News, January 16, 2010) reported the accompanying values for water consumption (gallons per person per day) for residential customers...

Q:

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.5 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.2. The...

Q:

D. It is need to know? This module was created and written with you in mind on how to illustrate the mean and variance of a discrete random variable. This will also help you analyze real-life...

Q:

Water at 200 kPa, x = 1.0 is compressed in a piston/cylinder to 1 MPa, 350oC in a reversible process. Find the sign for the work and the sign for the heat transfer.

Q:

The following is a list of qualitative characteristics of useful accounting information identified in the FASBs and the IASBs Statement of Financial Accounting Concepts No. 8 and statements...

Q:

You own a firm, and you want to raise $ 3 1 . 8 million to fund an expansion. Currently, you own 1 0 0 % of the firm's equity, and the firm has no debt. To raise the $ 3 1 . 8 million solely through...

Q:

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...