Box And Whiskers Worksheets 7th Grade

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How to Use Box and Whisker Plots to Teach Statistics in 7th Grade

Box and whisker plots are a type of graphical display that can help students understand the distribution and variability of a data set. They are also known as box plots or box-and-whisker diagrams. In this article, we will explain what box and whisker plots are, how to create them, and how to use them to teach statistics in 7th grade.

What are box and whisker plots

A box and whisker plot shows five key values that summarize a data set: the minimum, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum. These values are also called the five-number summary. The box part of the plot shows the range between Q1 and Q3, which is also called the interquartile range (IQR). The median is marked by a line inside the box. The whisker part of the plot shows the range between the minimum and Q1, and between Q3 and the maximum. Sometimes, outliers are also shown as dots or circles beyond the whiskers. Outliers are data values that are unusually high or low compared to the rest of the data.

How to create box and whisker plots

To create a box and whisker plot, follow these steps:

Order the data from least to greatest.

Find the median of the data. If there is an odd number of data values, the median is the middle value. If there is an even number of data values, the median is the average of the middle two values.

Find Q1 and Q3 by dividing the data into two halves: one below the median and one above the median. Then find the median of each half. Q1 is the median of the lower half, and Q3 is the median of the upper half.

Find the minimum and maximum of the data.

Draw a number line that covers the range of the data.

Draw a box above the number line with its left edge at Q1 and its right edge at Q3.

Draw a line inside the box at Q2.

Draw whiskers from each end of the box to the minimum and maximum.

Identify any outliers using a rule such as 1.5 x IQR. If a data value is more than 1.5 x IQR below Q1 or above Q3, it is considered an outlier. Draw a dot or circle for each outlier beyond the whiskers.

How to use box and whisker plots to teach statistics in 7th grade

Box and whisker plots can help students learn about various concepts in statistics, such as:

Measures of center: The median, Q1, and Q3 are measures of center that indicate where most of the data values are located. The median is also called the measure of central tendency because it represents a typical value for the data set.

Measures of spread: The IQR, minimum, maximum, and range are measures of spread that indicate how much variation there is in the data set. The IQR is also called the measure of variability because it shows how much the data values differ from each other within Q1 and Q3. The range is simply the difference between the maximum and minimum.

Shape of distribution: The shape of a box and whisker plot can reveal whether a data set is symmetric, skewed, or uniform. A symmetric distribution has a balanced shape with equal or similar lengths for both whiskers and both halves of the box. A skewed distribution has a longer whisker or half-box on one side than on another side, indicating that more data values are concentrated on one end than on another end. A uniform distribution has a rectangular shape with equal lengths for both whiskers and both halves of

the box, indicating that all data values are equally likely.

Comparison of data sets: Box and whisker plots can be used to compare two or more data sets by looking at ec8f644aee