Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain a measure of dispersion of X by taking the arithmetic mean of the deviations (X; - X)? If not, suggest how we can use these deviations to obtain a measure of dispersion of X.

Suppose that X1, X2,... Xn are n values of a variable X and X is the arithmetic mean. Can we obtain a measure of dispersion of X by taking the arithmetic mean of the deviations (X; - X)? If not, suggest how we can use these deviations to obtain a measure of dispersion of X.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...

See similar textbooks

Related questions

Q: The average battery life of the iPhone X is reported to be 11 hours by appleinsider.com. Assume tha...

A: Given μ=11 hours, n=30, σ=30 min

Q: If 5% of the electric bulbs manufactured by a company are defective, use Poisson distribution to fin...

Q: Find the standard deviation for the set of grouped sample data. Interval Frequency 0.5-3.5 3.5-6.5 6...

A: We have given that, Class :- 0.5-3.5 3.5-6.5 6.5-9.5 9.5-12.5 Frequency: 5 ...

Q: 5. A researcher surveyed the households in a remote area. The random variable X represents the numbe...

A: Given that Probability mass function of X is x 0 1 2 3 4 P(X=x) 0.02 0.18 0.30 0.40 0.10

Q: "LANGAW" PROBLEM SOLVING A population of flies Z is known to have a rate of growth proportional to Z...

Q: Exercises 29: Recent studies of the private practices of physicians who saw no Medicaid patients sug...

Q: ing Fisher's Ideal Formula: • From the data given below construct index number of the group of four ...

Q: Calcium is the most abundant mineral in the human body and has several important functions. Most bod...

A: Null and alternative hypotheses: The hypothesis, which is pre assumed as true, tentatively settled u...

Q: here were 20 more male than females. a) If 20 dogs were picked at randomly from a representative g...

A: Given: Number of stray dogs = 100 Number of females more than males = 20

Q: The election etn 8howed that a certain candidate received 46%,of the votes. Determine the pnobabilit...

A: Formula : z = (p̂ - μₚ̂) / σₚ̂

Q: Which of the following is not a proposítion? A 2x+5=4x+5 when x=0 B 55=4x+5 where x = 10 %3D y=4x+5 ...

A: The proposition in math is a statement which can not be decide whether it is true or not.

Q: Karl and Leonard want to make soup. In order to get the right balance of ingredients for their taste...

Q: A population consists of the five numbers 2, 3, 6, 8, and 11. Consider all possible samples of size ...

A: Given: Population size = 5 Population data : 2,3,6,8,11

Q: Use the given confidence interval to find the margin of error and the sample mean. (68.3,80.9) ...

A: The given confidence interval is (68.3,80.9)

Q: Consider that an individual whose level of exposure to a certain pathogen is rx € [0, 0) will contra...

A: Given Information: Consider x as the level of exposure to a certain pathogen and the probability tha...

Q: O Question 17 Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resi...

Q: Exercises 8: Is gender independent of education level? A random sample of 395 people were surveyed a...

Q: In set C, the last value is suspected to be an outlier. Should it be rejected?

A: Given A B C 2.9g 70.14mL 0.314mg 3.2g 69.99mL 0.320mg 2.6g 70.12mL 0.317mg 3.1g 71.51mL 0...

Q: For the provided data, develop a regression model for overall satisfaction as a function of years o...

A: Given: Department Years Ideas Communication Recognition Training Work Conditions ...

Q: You are given the following multiple state model for structured settlements: Disabled Recovered Perm...

A: From the given information, a¯x00=0.520a¯x01=3.24a¯x02=5.60a¯x11=17.37a¯x22=7.90δ=0.04

Q: Find the margin of error for the given values of c, s, and n. c=0.80, s=2.2, n=9 The margin o...

A: Given that Standard deviation (s)=2.2, Sample size n=9 Margin of error =E E=tc× s/√n

Q: A jar contains 5 pennies, 5 nickels and 3 dimes. A child selects 2 coins at random without replaceme...

Q: From the following table calculate the coeffìcient of correlation by Karl Pearson's method. 6. 10 11...

A: Correlation is a quantitative measure of the degree or strength of relationship that may exist betwe...

Q: low is the extract of the first few questions in the questionnaire. Define the type of variable (Num...

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer first three subparts...

Q: Suppose a convenience store averages 450 customers per day entering the store with a standard deviat...

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e., X~N(μ,σ2...

Q: Find the missing information in the following table : A в Combined Number 10 8 24 Mean 20 15 Geometr...

Q: 2. Consider the following sets of replicate measurements: B A 0.314 mg 0.320 mg 0.317 mg 0.319 mg 0....

Q: The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a...

A: Given: For California: Mean,μ=22Std deviation,σ=4Sample size, n=30 For New York: Mean,μ=42Std deviat...

Q: In an introductory statistics class of 50 students, there are 11 freshman, 19 sophomores, 14 juniors...

A: Given that , an introductory statistics class of 50 students, there are 11 freshman, 19 sophomores, ...

Q: the production line and were tested. Below are the measured resistance of the d resistors. [220.8, 2...

A: We have given that data 220.8, 221.9, 223.2, 219.1, 222.8, 219.2, 219.4, 219.5 First I want to find...

Q: How would you use the normal distribution to find approximately the frequency of exactly 5 successes...

Q: A. LEARNING ACTIVITY Review the concepts on areas under the curve and solve the following worded pro...

A: Given : Let Z be a standard normal variable Z~N(0,1)

Q: The election n 8howed that a certain candidate received 48%. of the votes. Determine the pmobability...

Q: Using the Weight Scoring technique, provide the weight scores for each car option. Which car should ...

A: Answer: Total weighted score of car A= (0.3*3) + (0.5*6) + (0.2*4) = 0.9 + 3 + .8 = 4.7 Total ...

Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. ...

Q: Spatial Statistics How to simulate a point pattern based on sequential inhibition process (SIP) ...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: ) Find the correlation between social intelligence score obtained with the obtained by Dutt Self-Con...

A: Given that X Y 80 112 78 98 56 82 45 78 48 56 72 78 68 79 57 62 65 87 61 88 ...

Q: opose are running a study/poll about the probability of a true negative on a test for a certain canc...

A: We have given that Sample size n = 109 Favorable cases x =71 Sample proportion p^=x/n = 71/109 = 0....

Q: Following is the data of sales figure of a company for 100 days: Compute the average deviation. Sale...

A: Given data : Sales and no. Of days, We have to find out average deviation :

Q: Test the claim that the proportion of people who own cats is significantly different than 60% at the...

Q: If 5% of the electric bulbs manufactured by a company are defective, use Poisson distribution to fin...

Q: Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the d...

A: The correlation coefficient (r)=0.904 we know that, coefficient of determination measure variabili...

Q: 2. A university alumni office sent salary surveys to alumni who graduated 2 and 5 years ago. The vol...

A: Given that a university alumni sent salary to alumni who graduated 2 and 5 years ago. The given box ...

Q: Gun ownership. A friend claims that 33% or less Americans have a gun in their household. To test thi...

Q: A fair die is rolled three times. What is the probability of obtaining at least two 5's? P(at least ...

Q: 4. A die is rolled 100 times with the following distribution: Humber 1 2 3 4. Observed frequency 17 ...

Q: MY NOTES PRACTICE ANOTHER Coal is carried from a mine in West Virginia to a power plant in New York ...

Q: Find the value of partial correlations for r,, = 0.60, r = 0.80, r,3 = 0.70 12

A: We have given that r12 = 0.60, r23 = 0.80, r13=0.70 I want to find partial correlation.

Q: You are given the values of sample means (X) and the range (R) for ten samples of size 5 each. Draw ...

A: Here we should draw the Mean chart and Range chart. Please find the solution below.

Q: Problem 5 a grocery store's sales experience indicates that its daily apple sales follow a normal di...

A: We have given that. X~N( μ , ?^2 ) μ = 60, ? =15 Z-score =( x - μ )/?

Question

Suppose that X1, X2,... Xn are n values of a variable
X and X is the arithmetic mean. Can we obtain a
measure of dispersion of X by taking the arithmetic
mean of the deviations (X; - X)? If not, suggest how
we can use these deviations to obtain
a measure of
dispersion of X.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here