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What is the standard deviation using the values: 1, 0, 6,1 5.05 5.50 2.32 2.35
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Video Transcript
Yeah, we know that. The very the formula for the standard deviations and you're not about sigma. It's basically squad and obedience. Okay. And our band of variants, there's nothing But it is an summation of observing the value with the sigma minus submission of X squared over total number of observation square here in our question, it has been given that the value of Acts R 011061. Okay. Therefore, I can see that The value of X. R1061, which is the value of our datasets and therefore we can say that the summation of all our data set is going to be one plus zero plus six plus one, which will be passed. The value of eight where are the number of observations, which is And even as four. Now, since the question of acts is being given as this suggestion of our X is squared which is one plus zero plus 36 plus one. This value is going to be close to 38. Now putting this value in our vacation's formulas for the Vegas. Therefore our value of the various V is going to be close to four times of 38 minus eight squared is 64 over Four square. And solving this, we will have our value of videos as 5.5. Now using the standard and using the formula for sigma is the standard deviation, it really is one of the 5.5. Therefore, we can see that our Approximate value of the standard division some nights when it was 2-1,
Solution
Determine the standard deviation.
Given data:
10,28,13,18,29,30,22, 23,25,and32
Here is the total number of observationsn are10.
Hence,∑i= 110xi=10+28+13+18+29+30+22+23+25+32=230.
Hence, The Mean:
μ=∑i= 110xin=23010=23.
xi | xi-μ | (xi-μ)2 |
10 | 10–23=–13 | 169 |
28 | 28-23=5 | 25 |
13 | 13-23=-10 | 100 |
18 | 18-23=-5 | 25 |
29 | 29-23=6 | 36 |
30 | 30-23=0 | 49 |
22 | 22-23=-1 | 1 |
23 | 23-23=0 | 0 |
25 | 25-23=2 | 4 |
32 | 32-23=9 | 81 |
Σ(xi-μ)2 | 490 |
Use the formula to calculate the standard deviation.
[(1n)Σ(xi–μ)2]= 110×490⇒= 49⇒= 7
Hence, the standard deviation of the given data is 7.
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Academic QuestionsMaths QuestionsWhat is the Standard Deviation of the Data Given Below 10 28 13 18 29 30 22 23 25 And 32
What is the standard deviation of the data given below? 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32
Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32.
Here, the number of observations, n = 10
Hence, ∑xi = 10 + 28 + 13 + 18 + 29 + 30 + 22 + 23 + 25 + 32 = 230.
Hence, Mean, μ = 230/10 = 23.
Finding ∑(xi – μ)2:xixi – μ(xi – μ)2
10 10 – 23 = – 13 169 28 28 – 23 = 5 25 13 13 – 23 = -10 100 18 18 – 23 = -5 25 29 29 – 23 =6 36 30 30 – 23 =7 49 22 22 – 23 = -1 1 23 23 – 23 = 0 0 25 25 – 23 = 2 4 32 32 – 23 = 9 81
∑(xi – μ)2
490
Hence, the required standard deviation is:
= √[(1/n)∑(xi – μ)2]
= √[(1/10) 490] = √49 = 7
Hence, the standard deviation is 7.
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स्रोत : byjus.com
What is the sample standard deviation from the data given 12, 13, 29, 18, 61, 35, and 21?
Answer (1 of 2): The standard deviation is 15.9 . The sample standard deviation, using the so-called Bessel correction, estimates the standard deviation of the population from which the sample is taken. It is 17.1 . J-code: E =. +/%# NB. Expectation (=Mean) D =. -E NB. Deviation from Mean RMS...
What is the sample standard deviation from the data given 12, 13, 29, 18, 61, 35, and 21?
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2 Answers Bo Jacoby
, //www.academia.edu/3247833
Answered 8 months ago · Author has 144 answers and 34.3K answer views
The standard deviation is 15.9 . The sample standard deviation, using the so-called Bessel correction, estimates the standard deviation of the population from which the sample is taken. It is 17.1 .
J-code:
E =. +/%# NB. Expectation (=Mean)
D =. -E NB. Deviation from Mean
RMS =. E&.:*: NB. Root Mean Square
S =. RMS&D NB. Standard deviation
S 12 13 29 18 61 35 21
15.8655
(S%%:&-.&%&#) 12 13 29 18 61 35 21
17.1367
11.9K viewsView upvotes
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Mark Harder
, studied at Roselle Park High School (1964)
Answered 1 year ago · Author has 5.7K answers and 1.8M answer views
Let N be the number of samples (In this case N=7), The long comments and questions in parentheses are not necessary for doing the calculation, but are meant to enhance your understanding.
1.) What is the mean value of those numbers? Write it down.
2. )What are the differences between the numbers and their mean? List them.
3.) What are the values of the differences squared (multiplying each number by itself)? Write them down. (Not necessary but something to think about: What happens when you take the square of the difference when the number is less than the mean and you square the difference?) Lis
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Related answers Related Answer Abhik Mukherjee
, Used to teach physics & mathematics
Updated 2 years ago · Author has 295 answers and 998.1K answer views
How do you find the sum of observations if given that mean of 7 observations is 9?
Mean(m) of any number of observations= Sum(s) of these observation divided by the number(n) of observations.
So, m= s/n. Given, m= 9 & n=7.
So, s= m*n = 9*7 = 63.
So, the sum will be 63.
Thanks for reading my answer. Hope this helps. If so, please consider upvoting.
789 viewsView upvotes
Related Answer Lucy Thompson
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Answered 8 months ago · Author has 1.5K answers and 488.9K answer views
What is the standard deviation of the following percentages 12, 13, 14, 12, and 15?
Use this formula. (From the thoughtco.com). No, I’m not going to do it for you.
The Process
Calculate the mean of your data set.
Subtract the mean from each of the data values and list the differences.
Square each of the differences from the previous step and make a list of the //squares.In
other words, multiply each number by //itself.Be
careful with negatives. A negative times a negative
makes a positive.
Add the squares from the previous step together.
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Divide the sum from step four by the number from step five.
Take the square Related Answer Daeyoung Lim
, studied Statistics
Answered 6 years ago · Upvoted by
I Wayan Sumarjaya
, Master of Statistics, University of New South Wales (2012) · Author has 135 answers and 456K answer views
On the sample standard deviation, why do we subtract N by 1?
To give you a mathematically rigorous answer, it's because that makes the sample variance an 'unbiased estimator'. (Sample standard deviation with n-1 is biased which is easily proven with Jensen's inequality
.)
When estimating a parameter, we come up with any kind of plausible estimator which is a function of all the data we have. For a variance,
θ ^ = 1 n−1 ∑ i=1 n ( X i − X n ¯ )
θ^=1n−1∑i=1n(Xi−Xn¯)
You should note that the data points are subtracted by its sample mean, not the population mean. Statisticians will say that you've lost 1 degree of freedom by calculating the samp
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Related Answer Ronald Deep
, worked at The University of Dayton
Answered Mar 13, 2022 · Author has 1.6K answers and 642.7K answer views
What is the standard deviation of the following set of data: {3, 4, -10, -20}?
स्रोत : www.quora.com
The standard deviation of the data 6,5,9,13,12,8,10 is
Click here👆to get an answer to your question ✍️ The standard deviation of the data 6,5,9,13,12,8,10 is
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The standard deviation of the data 6,5,9,13,12,8,10 is
A
7 52
B
7 52
C
6
D
6
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