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The line plot shows the shoe sizes for 10 students.

The line plot titled shoe sizes of students has shoe sizes from 5 to 9 in increments of one-half. There are 1 X above 5, 1 X above five and one-half, 2 X’s above 6, 4 X’s above six and one-half, 1 X above 7, and 1 X eight and one-half. The key reads one X equals 1 student.

Based on the line plot, which of the following best describes the shoe sizes?

A.
The majority of the data are clustered, with a couple of outliers in the lower part of the range.


B.
The majority of the data are evenly distributed from 5 to 7, with a couple of outliers in the lower part of the range.


C.
The majority of the data are evenly distributed between 5 and 7, with an outlier in the upper part of the range.


D.
The majority of the data are clustered, with an outlier in the upper part of the range.

1 answer

To analyze the line plot based on the given information:

  • Shoe sizes:
    • 5: 1 student (X)
    • 5.5: 1 student (X)
    • 6: 2 students (XX)
    • 6.5: 4 students (XXXX)
    • 7: 1 student (X)
    • 8.5: 1 student (X)

From this, we can summarize the shoe sizes:

  • 5, 5.5, and 7 have a combined total of 3 students.
  • 6 and 6.5 combined make up 6 students, indicating a higher concentration of shoe sizes in this range.
  • Lastly, 8.5 stands alone as a higher size than the rest.

Now let's consider the options:

  • Option A suggests the data is clustered with outliers in the lower part of the range. This does not fit since the majority are at 6 and 6.5.
  • Option B suggests the data are evenly distributed from 5 to 7 with lower outliers. However, 6 and 6.5 dominate, so this does not apply.
  • Option C suggests that the data are evenly distributed between 5 and 7 with an outlier in the upper range. While there is an outlier at 8.5, the distribution is not even.
  • Option D correctly notes that the majority of data (6 and 6.5) are clustered, with the 8.5 being an outlier.

Therefore, the best description based on the information provided is:

D. The majority of the data are clustered, with an outlier in the upper part of the range.