Math Problem Statement
The following table records the amounts of snowfall (to the nearest inch) for selected cities in one year.
City Snowfall Seattle Tacoma 11 Wichita 16 Atlantic City 16 Washington 17 Louisville 17 St. Louis 20 Wilmington 21 Boise 21 Baltimore 21 Indianapolis 23 Reno 24 Cincinnati 24 Peoria 25 New York 28 Omaha 30 Des Moines 33 Charleston 34 Providence 36 Chicago 38 Detroit 41 Boston 42 Bismarck 44 Pittsburgh 44 Hartford 49 Spokane 49 Minneapolis 50 Cleveland 56 Great Falls 58 Salt Lake City 59 Denver 60 Concord 64 Albany 64 Portland, ME 71 Burlington 78 Duluth 81 Buffalo 94 Juneau 97 Sault Ste. Marie 118 Interval 0–15 16–30 31–45 46–60 61–75 76–90 91–105 106–120
Solution
To organize this snowfall data by the intervals provided, let's first break down the snowfall data into frequency distributions across the specified intervals. Here are the steps and calculations:
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Determine the frequency of cities falling within each snowfall interval:
- 0–15 inches: Count cities with snowfall from 0 to 15 inches.
- 16–30 inches: Count cities with snowfall from 16 to 30 inches.
- 31–45 inches: Count cities with snowfall from 31 to 45 inches.
- 46–60 inches: Count cities with snowfall from 46 to 60 inches.
- 61–75 inches: Count cities with snowfall from 61 to 75 inches.
- 76–90 inches: Count cities with snowfall from 76 to 90 inches.
- 91–105 inches: Count cities with snowfall from 91 to 105 inches.
- 106–120 inches: Count cities with snowfall from 106 to 120 inches.
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Sort the cities into the corresponding intervals based on their snowfall amounts:
Let’s calculate the frequency distribution:
- 0–15 inches: 1 city (Seattle Tacoma, 11 inches)
- 16–30 inches: 12 cities (W
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Intervals
Formulas
Frequency distribution across intervals
Theorems
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Suitable Grade Level
Grades 6-8
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