Question

Calculate the sum of squared deviation, variation and standard deviation from the following data set. 45...

Calculate the sum of squared deviation, variation and standard deviation from the following data set.
45
44
48
42

Homework Answers

Answer #1
S.No X (X-x̄) (X-x̄)2
1 45 0.25 0.063
2 44 -0.75 0.563
3 48 3.25 10.563
4 42 -2.75 7.563
Σx 179 Σ(X-x̄)2= 18.7500
x̄=Σx/n 44.75 s2=Σ(x-x̄)2/(n-1)= 6.25000
                          s=√s2    = 2.5000

from above sum of squared deviation =18.75

variation =6.25

standard deviation =2.5

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
We are going to calculate the standard deviation for the following set of sample data. 1)...
We are going to calculate the standard deviation for the following set of sample data. 1) First, calculate the mean. ¯x=x¯= 2) Fill in the table below. Fill in the differences of each data value from the mean, then the squared differences. 3) Calculate the standard deviation. xxx−¯xx-x¯(x−¯x)2(x-x¯)2 14 4 4 14 5 Total
This data is from a sample. Calculate the mean, standard deviation, and coefficient of variation. 45.6...
This data is from a sample. Calculate the mean, standard deviation, and coefficient of variation. 45.6 24.1 17 31.7 35.9 12.1 11.7 23 Please show the following answers to 2 decimal places. Mean = Standard Deviation = Coefficient of Variation = % (Please enter a whole number.)
For the following data sample, calculate the sum of squared residuals and standard error of the...
For the following data sample, calculate the sum of squared residuals and standard error of the slope coefficient from a regression of AAPL on SPY. date SPY AAPL 1/1/18 2.46% 3.41% 1/8/18 1.65% 1.19% 1/15/18 0.90% 0.77% 1/22/18 2.20% -3.89% 1/29/18 -3.88% -6.42% SSR ___ se(slope) ___ Calculate the R2 Test the null hypothesis that the beta is equal to 1 with a 5% significance level. What is the approximate p-value for the test in d)?
Is Standard Deviation and mean correct?? Week 2 – Statistics Exercise The sum of the squared...
Is Standard Deviation and mean correct?? Week 2 – Statistics Exercise The sum of the squared values of deviation scores = 4972.64 Variance = Sum of the squared values of deviation scores ÷ total number of scores Therefore, variance = 198.905 Standard deviation = √Variance = 14.10 The formula for calculating z scores is as follows: X f X−x (X−x)2 78 1 5.88 34.57 67 2 5.12 26.21 69 2 3.12 9.73 63 1 9.12 83.17 85 1 12.88 165.89...
Calculate the expected return, standard deviation, and coefficient of variation for the following probability distribution. Probability(%)...
Calculate the expected return, standard deviation, and coefficient of variation for the following probability distribution. Probability(%) Return(%) 10 12 25 18 45 20 20 -8   
using the following data set; 17,23,9,12,14,11,5,8,10,15,16,10,9,9,10,9,11,20,21 a: compute the sum of squares of the data set...
using the following data set; 17,23,9,12,14,11,5,8,10,15,16,10,9,9,10,9,11,20,21 a: compute the sum of squares of the data set using the computational formula b:compute the standard deviation of the data set, assuming thay the data set is a sample
For each of the data sets provided below, calculate the mean, median, mode, and standard deviation....
For each of the data sets provided below, calculate the mean, median, mode, and standard deviation. 1) Data Set 1: 23, 26, 50, 39, 55, 64, 50, 10, 42, 35, 51, 42, 43, 56, 64, 48, 48, 57, 27, 37 2) Data Set 2: 26, 31, 10, 37, 38, 35, 30, 24, 26, 27, 24, 32, 32, 19, 34, 33, 14, 32, 24, 39, 30
Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set....
Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set. 31 37 39 42 46 48 55 61 76 76 range =  (Please enter an exact answer.) standard deviation (ss) =  (Please show your answer to one decimal place.) IQR =  (Please enter an exact answer.) A new number, 153, is added to the data set above. Please find the new range, sample standard deviation and IQR of the new data set. range =  (Please enter an exact...
The following is a small data set of 25 observations. I want you to calculate some...
The following is a small data set of 25 observations. I want you to calculate some statistics by hand to cement the class material. You can use the regular formula for the variance or the computational formula - I’m just interested in the correct result. If you use the computational formula, you will want to calculate a separate row of each value squared in order to calculate the Sum(x^2). Excel can be used to solve this problem. Var 28 4...
Calculate the range, population variance, and population standard deviation for the following data set. If necessary,...
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11