To Plot: The boxplot of the prices of the houses in 30 areas data and identify the outliers present in the data.
The boxplot is:
There is an outlier present in the data.
Given information:
The median prices of houses in 30 metropolitan areas are:
Prices |
122.7 |
198.8 |
189.2 |
153.6 |
180.4 |
212.1 |
171.8 |
138.7 |
305.4 |
129.3 |
210.4 |
152.6 |
183.9 |
199.4 |
144.4 |
105.5 |
167.2 |
245.8 |
183.8 |
226.1 |
175.5 |
157.7 |
281.8 |
229.1 |
149.9 |
208 |
108.5 |
216.5 |
97.3 |
175.3 |
Concept Used:
The boxplot is created in the following steps:
Step 1: Arrange the data in ascending order.
Step 2: Compute the quartiles of the data as
Step 3: Consider the data on y-axis and plot the quartiles to obtain the box.
Step 4: Now compute the lower limit and upper limit to find the length of whiskers as follows,
Step 5: Plot the limits and connect the points with the box obtained using the quartiles.
Plot:
The boxplot created using the above steps is:
The five-number summary calculated as:
Outliers:
There is one data point lying outside the whiskers of the boxplot. So there is an outlier present in the sale prices data.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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