Math Problem Statement

The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.

Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?

The histogram is right-skewed, so the mean is less than the median.

The histogram is right-skewed, so the mean is greater than the median.

The histogram is left-skewed, so the mean is less than the median.

The histogram is left-skewed, so the mean is greater than the median.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Representation
Histogram
Mean
Median
Skewness

Formulas

Mean = Sum of data values / Number of data values
Median is the middle value in ordered data

Theorems

Properties of skewed distributions in relation to mean and median

Suitable Grade Level

Grades 7-10