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Question

Calculate mode from the following data of marks obtained by 10(ten) students : 
10, 27, 24, 12, 27, 27, 20, 18, 15, 30 :

The correct answer is
27

Calculate Mode for Student Marks Data

The question requires finding the mode from a given list of marks obtained by 10 students. The mode represents the value that occurs most frequently within a dataset.

Data Frequency Analysis

First, list the marks provided:

10, 27, 24, 12, 27, 27, 20, 18, 15, 30

Next, determine the frequency of each distinct mark:

  • 10: Appears 1 time
  • 12: Appears 1 time
  • 15: Appears 1 time
  • 18: Appears 1 time
  • 20: Appears 1 time
  • 24: Appears 1 time
  • 27: Appears 3 times
  • 30: Appears 1 time

Mode Identification

By observing the frequencies calculated above, the mark 27 appears more times than any other mark in the dataset (it appears 3 times).

Therefore, the mode of the given student marks data is 27.

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Important Questions from Measures of Central Tendency

  1. What is the median of the following data?


    24, 30, 40, 80, 15, 57, 78, 82, 39, 97, 82

  2. The Geometric mean of four numbers 2, X, 16, 32 is 8. What is the value of X ?
  3. If mean = 28 and mode = 25, the value of median will be :
  4. Given arithmetic mean = 45, mode = 48, then median =
  5. Assertion (A) : Geometric mean is theoretically considered as the best average to construct index numbers.
    Reason (R) : Geometric mean is used if the range of observations is extremely large.
    Codes :
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