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Question

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

This question was previously asked in
RRB ALP 2025 CBT 2 Wiremen Question Paper (28-Jul-2026) (Shift 2)
The correct answer is
68

Data Mode Identification

The mode of a dataset is the value that appears most frequently. To find the mode, we need to count how many times each number appears in the data.

The given data is: 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.

Frequency Count

Let's count the frequency of each unique number:

Number Frequency
61 1
64 1
65 1
66 1
68 3
69 1
70 1
71 2
73 1
75 1
79 1
80 2
82 1
83 1
84 2
85 1
86 1
88 2
89 1

Identify the Mode

By examining the frequency count, the number 68 appears 3 times, which is more than any other number in the dataset. Therefore, 68 is the mode.

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Similar Questions

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

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

  3. If the mean of a distribution is 8.73 and its median is 11, then the mode of the distribution is __________ (using empirical relation).
  4. If the median and mode of a data of 20 numbers are 250 and 295, respectively, then find the sum of the 20 numbers.
  5. 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
  6. The median of \(\frac{3}{7}\), \(\frac{3}{5}\), \(\frac{11}{13}\), \(\frac{14}{16}\) and \(\frac{17}{19}\) is _____.
  7. 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
  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
    60 - 708
  10. Find the mean of the mode and the median of the given data.
    15, 3, 8, 7, 6, 5, 5, 7, 18, 7

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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