A box plot is based on: *c. deciles.a. the mean.b. percentiles.d. the first and third quartile, the median, the maximum and the minimum
Question
A box plot is based on: *c. deciles.a. the mean.b. percentiles.d. the first and third quartile, the median, the maximum and the minimum
Solution
A box plot is based on: d. the first and third quartile, the median, the maximum and the minimum.
Here's a step-by-step explanation:
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The first step in constructing a box plot is to prepare the data by sorting it in ascending order.
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The minimum value of the data set is identified. This is the smallest number in the data set.
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The first quartile (Q1) is calculated. This is the median of the lower half of the data (not including the median of the whole data set if the number of data points is odd).
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The median of the data set is calculated. If the number of data points is odd, this is the middle number. If the number of data points is even, this is the average of the two middle numbers.
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The third quartile (Q3) is calculated. This is the median of the upper half of the data (not including the median of the whole data set if the number of data points is odd).
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The maximum value of the data set is identified. This is the largest number in the data set.
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These values are then used to create the box plot. The box is formed by the first and third quartiles, with a line inside the box for the median. Lines (or "whiskers") extend from the box to the minimum and maximum values.
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