Comparison of Median and Mean Heights

Very Hard Quantitative Comparisons Data Analysis

In a certain survey, the heights (in centimeters) of a sample of students were recorded.

Data Set: 150, 157, 162, 160, 165, 150, 170

The median height of this data set is represented by $M$, and the mean height is represented by $X$.

Calculate the values of $M$ and $X$, and compare them:

Quantitative Comparison: Which of the following statements is true?

The median height $M$ is greater than the mean height $X$.

The median height $M$ is equal to the mean height $X$.

The median height $M$ is less than the mean height $X$.

It cannot be determined without additional information.

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