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Heights (in cm) of 25 children are given below:

168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 162, 165, 163, 162, 163, 164, 163, 160, 165, 163, 162

What is the mode of their heights?

What do we understand by mode here?

Answer :

The mode of the given children's heights is 163 cm as it appears 7 times, which is more than any other height in the set. The mode is a fundamental measure of central tendency used to identify the most frequently occurring value within a dataset.

The mode of a set of data is the value that appears most frequently. In the given list of children's heights, to find the mode, we need to identify which height occurs the most often. By counting each height, we find that the height of 163 cm occurs most frequently. Now, looking at the data provided, we will count the number of occurrences of each unique height to determine the mode.

  • 160 cm: 3 times
  • 161 cm: 1 time
  • 162 cm: 4 times
  • 163 cm: 7 times
  • 164 cm: 3 times
  • 165 cm: 3 times
  • 168 cm: 1 time

Clearly, 163 cm is the mode because it appears 7 times, which is more than any other height.

Understanding the mode helps us to find common trends or characteristics within a set of data, making it a useful measure of central tendency, especially when dealing with categorical, ordinal, or discrete interval data.

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