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Question

For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is: 

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

39

The correct answer is Option 2 i.e. 39.

Empirical Formula

Mode = 3 × Median - 2 × Mean

Mode = 3 × 32 - 2 × 28.5

Mode = 96 - 57 = 39

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Similar Questions

  1. Find the median of the data 11, 16, 33, 15, 51, 19, 71, 75, 21, 17.

  2. If the mean of a distribution is 8.73 and its median is 11, then the mode of the distribution is __________ (using empirical relation).
  3. If the median and mode of a data of 20 numbers are 250 and 295, respectively, then find the sum of the 20 numbers.
  4. What is the mode of the following data?
    70, 70, 73, 71, 74, 69, 80, 68, 66, 66, 89, 83, 81, 86, 82, 74, 86, 87, 67, 72, 62, 76, 86, 65, 62
  5. The median of \(\frac{3}{7}\), \(\frac{3}{5}\), \(\frac{11}{13}\), \(\frac{14}{16}\) and \(\frac{17}{19}\) is _____.
  6. What is the mode of the following data?
    78, 60, 85, 76, 84, 86, 73, 89, 78, 77, 60, 63, 62, 72, 61, 78, 67, 77, 61, 78, 75, 61, 88, 66, 69
  7. What is the mode of the following data?

    70, 79, 66, 89, 68, 80, 82, 80, 71, 84, 69, 68, 61, 85, 71, 84, 68, 86, 73, 75, 83, 88, 64, 88, 65
  8. The lifetime of certain species is given in the following table. Calculate the modal lifetime (rounded up to one decimal place) in days.
    Lifetime (days)0-1010-2020-3030-4040-5050-60
    Frequency103552613829
  9. The given data shows the marks obtained by 50 students of a class in a test. What is the mean marks obtained by students?
    MarksNumber of Students
    20 - 305
    30 - 4012
    40 - 5010
    50 - 6015
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  10. Find the mean of the mode and the median of the given data.
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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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