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Question

The mode of the observations 35, 32, 28, 27, 25, 32, 31, 27, 32, 30, 32, 27, 31, 34, 32 and 22 is:

The correct answer is
32

Understanding the Mode Calculation

The mode of a set of observations is the value that occurs most frequently. To find the mode, we need to count how many times each number appears in the dataset and identify the number with the highest count.

Identifying Observations and Frequencies

The given observations are:

35, 32, 28, 27, 25, 32, 31, 27, 32, 30, 32, 27, 31, 34, 32, 22

Let's list the frequency of each unique observation:

Observation Frequency
22 1
25 1
27 3
28 1
30 1
31 2
32 5
34 1
35 1

Determining the Mode

By examining the frequencies, we can see that the observation 32 appears 5 times, which is more than any other observation in the list.

Therefore, the mode of the given observations is 32.

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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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