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The marks scored by 10 students are given below. 17, 16, 12, 16, 15, 16, 13, 14, 13, 20 The mode of the data is:
16
18
12
17
16
Arrange the given numbers in ascending order or quickly tally the frequency of each number to spot the highest count instantly.
Marks scored by 10 students: 17, 16, 12, 16, 15, 16, 13, 14, 13, 20
Mode=Value with maximum frequency in a given dataset
Arrange the given numbers in ascending order or quickly tally the frequency of each number to spot the highest count instantly.
Confusing mode with median or mean. Mode is simply the value that appears most frequently.
Step 1: Understand the Definition of Mode
The mode of a set of observations is the value that occurs most frequently (i.e., has the highest frequency).
Mode=Most frequent observation
Step 2: List and Tally the Frequencies
Counting the occurrences of each mark in the given data: 12 (1 time), 13 (2 times), 14 (1 time), 15 (1 time), 16 (3 times), 17 (1 time), 20 (1 time).
Frequency of 16=3
Step 3: Identify the Mode
Since the mark 16 appears the maximum number of times (3 times), it is the mode of the given data.
Mode=16
A is correct because the mark 16 appears 3 times, which is more frequently than any other mark in the dataset.
In statistics, questions often combine mean, median, and mode for a given set of data to test basic properties of central tendency.
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