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TCS NQT GuideTCS NQT Numerical AbilityElementary Statistics: Mean, Median, and Mode for TCS NQT

Elementary Statistics: Mean, Median, and Mode for TCS NQT

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1Mean: Arithmetic average of data points.
  • 2Median: Middle value when data is sorted. For even n, average of middle two.
  • 3Mode: Most frequent value in the data set.
  • 4Empirical Relation: Mode = 3 * Median - 2 * Mean.

TCS NQT Style Practice Questions

Practice Question 1

Find the median of the data set: 5, 2, 8, 3, 7, 9, 1.

A) 5
B) 7
C) 3
D) 4

Correct Answer: A) 5

Step-by-step Solution: First, sort the data: 1, 2, 3, 5, 7, 8, 9. The number of terms is 7 (odd). The middle term is the 4th term, which is 5.

Practice Question 2

If Mean = 4 and Median = 5, find the Mode using empirical relation.

A) 7
B) 8
C) 6
D) 9

Correct Answer: A) 7

Step-by-step Solution: Mode = 3 * Median - 2 * Mean = 3(5) - 2(4) = 15 - 8 = 7.

Study Pro-Tip

Sorting the data is the essential first step before computing the Median.

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