To analyze the box plot and histogram effectively, we need to consider some properties of each representation of data. Here are the statements provided, along with an assessment to determine which three statements are correct:
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Using the box plot, the range of the data is 45.
- To determine if this is correct, we would need to know the minimum and maximum values from the box plot. If the range (max - min) equals 45, this statement is true.
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Using the information in the histogram, the number of students that read between 25 and 54 minutes is 14 students.
- This statement would be correct if the histogram shows that a total of 14 students fall within that time range.
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Referring to the box plot, the median of the data is 50.
- The median is represented by the line inside the box of the box plot. If this line is at 50, then this statement is true.
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The range of the data can be found using the histogram.
- While a histogram does show frequency distributions, the range typically requires identifying the minimum and maximum values from the dataset, which would be found in the box plot. Thus, this statement is likely false.
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Referring to the histogram, the median of the data is 49.5.
- The median can be estimated from the histogram, but we would need to visually determine if that is accurate based on the frequency distribution.
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Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45.
- This statement appears incorrect since subtracting does not reflect how one would determine the total number of students from a box plot.
Based on this analysis, the most likely valid statements are:
- The range of the data is 45 (if confirmed by min and max values).
- The number of students that read between 25 and 54 minutes is 14 students.
- The median of the data is 50 (if confirmed by box plot).
If you see specific values from the box plot and histogram that confirm these statements, you can verify their correctness.