Aspire Faculty ID #9439 · Topic: NIMCET 2020 · Just now
NIMCET 2020

A, B, C are three sets of values of x: 
A: 2,3,7,1,3,2,3 
B: 7,5,9,12,5,3,8 
C: 4,4,11,7,2,3,4 
Select the correct statement among the following:

Solution

Given sets

  • A: 2, 3, 7, 1, 3, 2, 3
  • B: 7, 5, 9, 12, 5, 3, 8
  • C: 4, 4, 11, 7, 2, 3, 4

Set A: sum = 21, n = 7 ⇒ Mean = 21/7 = 3.
Sorted A = (1, 2, 2, 3, 3, 3, 7) ⇒ Median = 3.
Mode(A) = most frequent = 3.

Set B: sorted = (3, 5, 5, 7, 8, 9, 12) ⇒ Median(B) = 7.

Set C: sum = 35, n = 7 ⇒ Mean(C) = 5; Mode(C) = 4.

Check options

  1. Mean(A) = 3 vs Mode(C) = 4 → False
  2. Mean(C) = 5 vs Median(B) = 7 → False
  3. Median(B) = 7 vs Mode(A) = 3 → False
  4. Mean(A) = Median(A) = Mode(A) = 3 → True

Correct statement: Option 4

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