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For the set of numbers x, x, x + 2, x + 3, x + 10 where x is a natural number, which of the following is/are correct? (1) Mean > Mode (2) Median > Mean
By BYJU'S Exam Prep
Updated on: September 25th, 2023
Select the correct answer using the code given below.
(A) 1 only
(B) 2 only
(C) Both 1 and 2
(D) Neither 1 nor 2
For the set of numbers x, x, x + 2, x + 3, x + 10 where x is a natural number Mean > Mode is correct. The ratio between the total number of observations and the sum of all observations is known as the mean.
Why is Mean > Mode correct?
The value that repeatedly appears in a given set is the mode. The mean, mode, and median are related: Mode = 3(Median) – 2(Mean).
Given a set of numbers are x, x, x + 2, x + 3, x + 10.
According to the question, x is a natural number, then put x = 1
The set of numbers are
1, 1, 3, 4, 11.
- Mean = 1 + 1 + 3 + 4 + 11/5
- Mean = 3
- Mode = 1
- Mean > Mode
Therefore, statement 1 is correct.
We know that Mode = 3 (Median) – 2 (Mean)
- 1 = 3(Median) – 2(4)
- 3(Median) = 9
- Median = 3
- Median < Mean
- Therefore, statement 2 is incorrect
Summary:
For the set of numbers x, x, x + 2, x + 3, x + 10 where x is a natural number, which of the following is/are correct? (1) Mean > Mode (2) Median > Mean.
For the set of numbers x, x, x + 2, x + 3, and x + 10, Mean > Mode is correct. Here x is a natural number. To find this statement correct, suppose X is equal to 1.
