Question

introduction to data
frequency tables
analyze the chart on the right. describe any
relationships that you notice in the data.
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repeat this same process for the new table.
describe any relationships that you notice.
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how can percent tables support understanding
the data and making predictions?

ways i reduce waste
strategy\tcount
recycle\t10574
reuse containers\t8504
compost\t1912
buy in bulk\t2983
donate used clothes\t3601

ways i reduce waste
strategy\tcount\t%
recycle\t10574\t46.8
reuse containers\t8504\t37.2
compost\t1912\t8.5
buy in bulk\t2983\t13.2
donate used clothes\t3601\t16.1

Explanation:

For the first frequency table (counts):

• The "Recycle" strategy has the highest count (18574), meaning it's the most common waste - reduction strategy among the listed ones. "Donate Used Clothes" has the lowest count (3601), so it's the least common. The counts for "Reuse Containers" (8504), "Compost" (1912), and "Buy in Bulk" (2283) are in between, with "Reuse Containers" being more popular than "Compost" and "Buy in Bulk".

For the second frequency table (counts and percentages):

• The percentage column confirms the relationships seen in the count column. "Recycle" has the highest percentage (49.8%), so it's the most popular strategy in terms of proportion. "Donate Used Clothes" has the lowest percentage (9.8%), making it the least popular proportionally. "Reuse Containers" (22.8%), "Compost" (5.1%), and "Buy in Bulk" (6.1%) follow the same relative popularity as in the count table, with percentages matching the count - based popularity order.

For how percentages help:

• Percentages standardize the data by showing the proportion of each strategy relative to the total number of responses. This makes it easier to compare the popularity of each strategy, as it removes the influence of the total number of responses. For example, if the total number of people surveyed was different for different groups, counts alone could be misleading, but percentages allow for a direct comparison of the relative popularity of each waste - reduction strategy.

Answer:

For the first frequency table:

• "Recycle" is the most common waste - reduction strategy (highest count: 18574), "Donate Used Clothes" is the least common (lowest count: 3601). "Reuse Containers" (8504) is more popular than "Compost" (1912) and "Buy in Bulk" (2283).

For the second frequency table:

• "Recycle" is the most popular (highest percentage: 49.8%), "Donate Used Clothes" is the least popular (lowest percentage: 9.8%). The percentage order matches the count order, with "Reuse Containers" (22.8%), "Compost" (5.1%), and "Buy in Bulk" (6.1%) following the same relative popularity.

For how percentages help:

• Percentages show the proportion of each strategy relative to the total, enabling easier comparison of popularity across different sample sizes and highlighting the relative importance of each strategy.