QUESTION IMAGE
Question
- the box-and-whisker plots show the distribution of low temperatures during one month for atlanta, georgia, and savannah, georgia. what conclusion can you make about the temperatures?
Brief Explanations
To analyze the box - and - whisker plots:
- Range and Spread: The whiskers of a box - and - whisker plot represent the minimum and maximum values, and the box represents the inter - quartile range (IQR, from the first quartile \(Q_1\) to the third quartile \(Q_3\)).
- For Atlanta, the box is wider and the whiskers extend over a larger range of temperatures (from around 65 to 85 on the axis). For Savannah, the box is narrower and the whiskers have a smaller range (from around 60 to 75 or so). This means that the low temperatures in Atlanta have a greater spread (more variability) than in Savannah.
- Median and Central Tendency: The line inside the box represents the median. The median of Atlanta's low temperatures (the line in its box) is higher than the median of Savannah's low temperatures (the line in its box). So, on average, the low temperatures in Atlanta are higher than in Savannah.
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The low temperatures in Atlanta have a greater spread (more variability) and a higher median (on average, higher low temperatures) compared to Savannah. The range of low temperatures in Atlanta is larger, and the central tendency (median) of low temperatures in Atlanta is higher than that in Savannah.