The sum of deviations from the mean is always zero because: MCQ with Answer and Explanation

Question
The sum of deviations from the mean is always zero because:
A. Data are symmetric
B. All deviations are equal
C. Mean is the midpoint
D. Positive and negative deviations cancel out
Answer: Option D
Solution (By JKSSB Mock Tests)
Σ (x - x̄) = 0 is an algebraic property.
This question belongs to: Accountancy and Statistics Statistics
Request complete Subject PDF

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1
If a dataset has values ranging from 10 to 95 and you decide to use a class width of 10, how many classes would be needed for an exclusive frequency distribution?
A. 10
B. 9
C. 8
D. 11
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Range = 95 - 10 = 85. Number of classes = Range / Class width = 85 / 10 = 8.5, rounded up to 9 classes to cover the entire data range without gaps.
This question belongs to: Accountancy and Statistics Statistics
Question #2
Consider attributes: Vaccination (A) and Immunity (B). If (AB) = 150, (A) = 200, (B) = 300, N = 500, what type of association exists?
A. Independent
B. Inconsistent Data
C. Positive Association
D. Negative Association
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Expected (AB) if independent = (200*300)/500 = 120. Actual (AB) = 150. Since Actual > Expected, the association is positive.
This question belongs to: Accountancy and Statistics Statistics
Question #3
Bayes' theorem is based on the concept of:
A. Conditional probability
B. Disjoint events
C. Joint probability only
D. Unconditional probability
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Bayes' theorem expresses the conditional probability P(A|B) in terms of P(B|A) and prior probabilities.
This question belongs to: Accountancy and Statistics Statistics
Explore All Statistics MCQs
Today's Top Topics
Accountancy and Book Keeping 1861 Statistics 1318
Explore Subjects
Maths 5575 Geography GK 6121 Economy GK 2220 History GK 3374 Accountancy and Statistics 3179
Practice Mix
The 'Deccani' style of painting developed in:
He ___ be very upset; he's not talking to anyone.
Which cloud type appears as thin, feathery streaks?
Two numbers are in the ratio 4:8 and their sum is 512. Find the numbers.
By the time you return, I ________ the house.