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Question

The marks scored by 10 students are given below.
17, 19, 12, 20, 19, 14, 15, 18, 19, 14
The mode of the given data is:

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
19

Mode Calculation for Student Marks Data

The question asks to find the mode of the given marks scored by 10 students. The mode is defined as the value that appears most frequently in a data set.

Given Data Set

The marks scored by the 10 students are:

  • 17, 19, 12, 20, 19, 14, 15, 18, 19, 14

Frequency Count

To identify the mode, we determine the frequency of each distinct mark:

  • 12: Appears 1 time
  • 14: Appears 2 times
  • 15: Appears 1 time
  • 17: Appears 1 time
  • 18: Appears 1 time
  • 19: Appears 3 times
  • 20: Appears 1 time

Identifying the Mode

By examining the frequencies, the mark 19 occurs most often (3 times). This is higher than the frequency of any other mark in the data set.

Therefore, the mode of the given data is 19.

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Similar Questions

  1. The following observations are arranged in ascending order. If the median of the data is 19, then find the value of x.
    6, 9, 15, x + 4, x + 8, x + 12, 30, 32
  2. Let a set S = {1, 2, 2, 3, 3, 3, 4, 4, 4, 4}. Then the value of $4 \times \text{mean} + 2 \times \text{mode} - 8 \times \text{median}$ is:
  3. The weights (in kg) of 7 men are 64, 63, 62, 65, 67, 66 and 61. The median weight is:
  4. Which of the following CANNOT take a negative value?
  5. The given data is arranged in ascending order and its median is 17. Find the value of $x$.

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Important Questions from Elementary Statistics

  1. In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.

  2. What will be the difference between mean and median of the given data?

    21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19
  3. Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.

    A. 5 and 5

    B. 3 and 5

    C. 5 and 4

    D. 3 and 4

  4. For which set of numbers do the mean, median and mode all have the same value?

  5. The median of 5, 8, 25, 22, 34, 18 is

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