Question

1. the table shows some temperatures recorded throughout october in baltimore and seattle. what could you infer by comparing the range of the data for each city?

city	temp (degrees celsius)	temp (degrees celsius)	temp (degrees celsius)	temp (degrees celsius)	temp (degrees celsius)	temp (degrees celsius)	temp (degrees celsius)
seattle, wa	16	24	26	26	25	27	20

range for baltimore
range for seattle

• seattle’s temperature varied more throughout the month.
• baltimore’s temperature varied more throughout the month.
• the temperature in baltimore and seattle varied about the same.
• the typical day’s temperature was higher in baltimore than in seattle.

Explanation:

Step1: Calculate range for Baltimore

Range = Max - Min. For Baltimore, max = 35, min = 23. So range = $35 - 23 = 12$.

Step2: Calculate range for Seattle

For Seattle, max = 28, min = 16. So range = $28 - 16 = 12$? Wait, no, wait Seattle's temps: 16,24,26,26,25,27,28. Max is 28, min is 16. Wait, 28 -16 =12? Wait Baltimore: 23,25,28,28,32,33,35. Max 35, min 23. 35-23=12. Wait but wait, maybe I miscalculated Seattle. Wait Seattle's temps: 16,24,26,26,25,27,28. So max is 28, min is 16. 28-16=12. Wait but the options: Wait no, maybe I made a mistake. Wait Baltimore's temps: 23,25,28,28,32,33,35. So max 35, min 23. 35-23=12. Seattle: 16,24,26,26,25,27,28. Max 28, min 16. 28-16=12. But the options: Wait the third option is "The temperature in Baltimore and Seattle varied about the same." But wait, let's recheck Seattle's data. Wait the table for Seattle: 16,24,26,26,25,27,28? Wait maybe the last temp is 28? Wait the original table: Seattle, WA: 16,24,26,26,25,27,28? Wait maybe I misread. Wait no, maybe the last temp is 28. So range for Baltimore: 35-23=12. Range for Seattle: 28-16=12. So the range is same. So the correct option is "The temperature in Baltimore and Seattle varied about the same." But wait, let's check the options again. The options are:

1. Seattle’s temperature varied more throughout the month.

1. Baltimore’s temperature varied more throughout the month.

1. The temperature in Baltimore and Seattle varied about the same.

1. The typical day’s temperature was higher in Baltimore than in Seattle.

Wait, but let's recalculate Seattle's range. Wait Seattle's data: 16,24,26,26,25,27,28. Max is 28, min is 16. 28-16=12. Baltimore: 23,25,28,28,32,33,35. Max 35, min 23. 35-23=12. So range is same. So the third option is correct. But also, the fourth option: "The typical day’s temperature was higher in Baltimore than in Seattle." Let's check the mean or median. Baltimore's temps: 23,25,28,28,32,33,35. Median is 28. Seattle: 16,24,25,26,26,27,28. Median is 26. So typical day (median) is higher in Baltimore. But the question is about comparing the range. So the range for both is 12, so they varied about the same. But wait, maybe I made a mistake in Seattle's max. Wait Seattle's data: 16,24,26,26,25,27,28. So max is 28. Min is 16. 28-16=12. Baltimore: 35-23=12. So range is same. So the answer for range: Baltimore's range is 12, Seattle's range is 12. And the correct inference is "The temperature in Baltimore and Seattle varied about the same." But also, the fourth option is about typical day, which is also true, but the question is about comparing the range. So the range calculation:

Baltimore: max=35, min=23, range=35-23=12.

Seattle: max=28, min=16, range=28-16=12.

So the range for both is 12, so they varied about the same.

Answer:

Range for Baltimore: 12, Range for Seattle: 12. The correct inference is "The temperature in Baltimore and Seattle varied about the same." (Third option: The temperature in Baltimore and Seattle varied about the same.)