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Find the mode of the data: 10, 20, 10, 30, 40, 20, 10, 50.
10
20
30
40
10
Quickly tally the count of each unique number by scanning the list: 10 appears 3 times, 20 appears 2 times, and the rest appear once. The highest frequency determines the mode instantly.
The given set of observations is: 10, 20, 10, 30, 40, 20, 10, 50.
Mode=Observation┬аwith┬аmaximum┬аfrequency
Quickly tally the count of each unique number by scanning the list: 10 appears 3 times, 20 appears 2 times, and the rest appear once. The highest frequency determines the mode instantly.
Confusing mode with median or mean, or miscounting the frequency of numbers that appear multiple times.
List and count the frequencies of each unique value
Count how many times each number appears in the dataset: 10 appears 3 times, 20 appears 2 times, 30 appears 1 time, 40 appears 1 time, and 50 appears 1 time.
Frequency(10)=3,Frequency(20)=2
Identify the maximum frequency
Compare the counts of all unique values. The maximum frequency is 3, which corresponds to the number 10.
Maximum┬аFrequency=3
Determine the mode
Since the value 10 occurs most frequently (3 times), it is the mode of the given data.
Mode=10
A is correct because 10 has the highest frequency of 3 among all the given observations.
In railway recruitment examinations (like RRB JE), questions on statistics frequently test basic measures of central tendency such as mean, median, and mode for both raw data and grouped frequency distributions.
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