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Question

An illustration of a histogram shows the number of pairs of shoes owned by 6th graders. The horizontal axis shows the number of pairs of shoes owned ranging from 0 to 12 in increments of 2. The vertical axis shows the number of people ranging from 0 to 14 in increments of 2. The graph shows the following data: 0 to 2 pairs of shoes are owned by 0 people; 2 to 4 pairs of shoes are owned by 13 people; 4 to 6 pairs of shoes are owned by 2 people; 6 to 8 pairs of shoes are owned by 13 people; 8 to 10 pairs of shoes are owned by 2 people; 10 to 12 pairs of shoes are owned by 1 people.

Sam wrote the statistical question “How many pairs of shoes do 6th graders in my town tend to have?” He collected data and organized it into a histogram. Describe the spread and distribution of the data shown in the histogram.

(1 point)
Responses

Most 6th graders have between 2 and 4 pairs of shoes or between 6 and 8 pairs of shoes.
Most 6th graders have between 2 and 4 pairs of shoes or between 6 and 8 pairs of shoes.

Most 6th graders have either between 4 and 6 pairs of shoes or more than 8 pairs of shoes.
Most 6th graders have either between 4 and 6 pairs of shoes or more than 8 pairs of shoes.

Every 6th grader has at least one pair of shoes.
Every 6th grader has at least one pair of shoes.

6th graders have between 0 and 11 pairs of shoes.

Answer 1

Most 6th graders have between 2 and 4 pairs of shoes or between 6 and 8 pairs of shoes. This indicates that there are two main peaks in the distribution of the data, with fewer students owning between 4 and 6 pairs of shoes or more than 8 pairs. Additionally, the data shows that every 6th grader has at least one pair of shoes and the range of pairs of shoes owned by 6th graders in the town is between 0 and 11 pairs.