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  • In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded: 46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44 Which ‘average’ will be a good representative of the above data and why?

In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded:

46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44

Which ‘average’ will be a good representative of the above data and why?

Answers (1)

Answer: Median

 

Given data is :  46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44

The mode is best used with categorical data.

Mean is best used with continuous and symmetrical data.

Median is best used with skewed distributions as we can find the middle of the data set.

In ascending order, we have: 

11, 40, 41, 44, 46, 48, 52, 53, 54, 62, 96, 98.

In this case,

Median will be a good representative of data, because each value occurs once, hence we can draw a line right at the middle of the data.

Hence the correct answer is median.

Posted by

infoexpert23

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