Make a box-and-whisker plot of the data. Average daily temperatures in Tucson, Arizona, in December: 67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
To create a box-and-whisker plot of the data, we first need to order the temperatures from least to greatest:
50, 50, 50, 51, 52, 55, 57, 57, 58, 58, 58, 58, 59, 60, 62, 63, 64, 66, 67, 67
Next, we calculate the median, first quartile (Q1), and third quartile (Q3) of the data:
Median: (58 + 59) / 2 = 58.5
Q1: (55 + 57) / 2 = 56
Q3: (64 + 66) / 2 = 65
Now, we can construct the box-and-whisker plot using the median, Q1, Q3, and the minimum and maximum values of the data:
Min: 50
Q1: 56
Median: 58.5
Q3: 65
Max: 67
The box represents the middle 50% of the data (from Q1 to Q3), with the median dividing it in half. The whiskers extend to the minimum and maximum values of the data that are not considered outliers.
The box-and-whisker plot for the average daily temperatures in Tucson, Arizona, in December is as follows:
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50 56 65 67