Ask a New Question
Menu

The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.

Time Spent Reading Last Night
Mr. Jacob's Class
____|__
20 25 30 35 30 45 50 55 60 65 70 75 80

Minutes Spent Reading

25-34 - 4
35-44 - 4
45-54 - 6
55-64 - 4
65-74 - 2

Which statements best describe the box plot or histogram? Check the three that apply.



(3 points)
Responses

Referring to the histogram, the median of the data is 49.5.
Referring to the histogram, the median of the data is 49.5.

Using the information in the histogram, the number of students that read between 35 and 54 minutes is 10 students.
Using the information in the histogram, the number of students that read between 35 and 54 minutes is 10 students.

Referring to the box plot, the median of the data is 50.
Referring to the box plot, the median of the data is 50.

Using the box plot, the range of the data is 45.
Using the box plot, the range of the data is 45.

Using the information in the histogram, the total number of students surveyed is 74 - 25 = 49.
Using the information in the histogram, the total number of students surveyed is 74 - 25 = 49.

The range of the data can be found using the histogram.

1 answer

Let's evaluate the provided statements based on the given information about the box plot and histogram.

  1. Referring to the histogram, the median of the data is 49.5.

    • This statement is unlikely to be true on its own without seeing the actual histogram. Typically, the median is the middle value of the data when arranged in order. To ascertain this, we would need to see the frequency distribution and find the midpoint.

  2. Using the information in the histogram, the number of students that read between 35 and 54 minutes is 10 students.

    • This statement is true. There are 4 students in the 35-44 range and 6 students in the 45-54 range, adding up to 10 students.

  3. Referring to the box plot, the median of the data is 50.

    • This statement can potentially be true if the box plot marks the median at 50. However, without seeing the box plot, we cannot definitively say this is correct.

  4. Using the box plot, the range of the data is 45.

    • The range is calculated as the difference between the maximum and minimum values. If we assume from the box plot that the maximum is 75 and the minimum is 30, the range would be 75 - 30 = 45. So, this statement is true.

  5. Using the information in the histogram, the total number of students surveyed is 74 - 25 = 49.

    • This statement seems incorrect if it suggests a total of 49 students. The total should be found by summing the number of students in each range. The total numbers of students given are 4 + 4 + 6 + 4 + 2 = 20 students.

  6. The range of the data can be found using the histogram.

    • This is true since the histogram provides the data required to identify the highest and lowest values, therefore allowing the calculation of the range.

Summary of True Statements

The three statements that can be considered valid based on the information given are:

  • Using the information in the histogram, the number of students that read between 35 and 54 minutes is 10 students.
  • Using the box plot, the range of the data is 45.
  • The range of the data can be found using the histogram.

The statements about the median of the data and the total number of students surveyed seem to be either unverifiable without additional context or incorrect.