Question 11

Mathematics Statistics Easy

<p>A, B, C are three sets of values of x:</p> <p>A :&nbsp;2, 3, 7, 1, 3, 2, 3</p> <p>B : 7, 5, 9, 12, 5, 3, 8</p> <p>C : 4, 4, 11, 7, 2, 3, 4</p> <p>Select the correct statement&nbsp;from the following:</p>

(A) Mean of A is equal Mode of C.
(B) Mean of C is equal to Median of B.
(C) Median of B is equal to Mode of A.
(D) Mean, Median and Mode of A are same.
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Mean of \( A \): \[ \text{Mean} = \frac{2 + 3 + 7 + 1 + 3 + 2 + 3}{7} = \frac{21}{7} = 3. \] Median of \( A \): Arrange the numbers in ascending order: \( 1, 2, 2, 3, 3, 3, 7 \). The middle value (4th value) is \( 3 \). \[ \text{Median} = 3. \] Mode of \( A \): The most frequent value in the data is \( 3 \) (it appears 3 times). \[ \text{Mode} = 3. \] Thus, the choice \( \mathbf{D} \) is correct.