These two box and whisker plots show the results of a science test.
Plot 1: Minimum:65, Maximum:95, Median:82, 1st Quartile:67, 3rd Quartile:88
Plot 2: Minimum:57, Maximum:100, Median:92, 1st Quartile:78, 3rd Quartile:93
What does this information tell you about the results?
A. The class of the first plot had more consistent results.
B. The class of the second plot had more consistent results.
C. The class of plot 1 did better than the class of plot 2.
D. The class of plot 2 had the lowest score.
Is it B?
A: plot 1 has a smaller range (spread)
Interpretations regarding C and D.
Plot 2 has a higher grade in all quartiles than plot 1, so class of plot 2 has better scores in general.
To analyze the box and whisker plots and determine the answer, we need to understand the components of a box and whisker plot.
A box and whisker plot provides a visual representation of a dataset's five-number summary, which includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.
Looking at the information given for Plot 1:
Minimum: 65
Maximum: 95
Median: 82
1st Quartile (Q1): 67
3rd Quartile (Q3): 88
Now let's examine the information given for Plot 2:
Minimum: 57
Maximum: 100
Median: 92
1st Quartile (Q1): 78
3rd Quartile (Q3): 93
Comparing the two plots, we can make several observations:
1. Range: The range of Plot 1 is 30 (95 - 65), while the range of Plot 2 is 43 (100 - 57). A smaller range suggests more consistent results, indicating that the class of Plot 1 had more consistent scores.
2. Interquartile Range (IQR): The IQR of Plot 1 is 21 (88 - 67), while the IQR of Plot 2 is 15 (93 - 78). A smaller IQR also indicates less variability and more consistent results. Therefore, the class of Plot 1 had a smaller IQR, suggesting more consistent scores.
3. Median: The median score of Plot 1 is 82, while the median of Plot 2 is 92. Although this comparison alone doesn't provide conclusive evidence, it suggests that the class of Plot 2 had higher overall scores compared to the class of Plot 1.
Based on these observations, the correct answer is A. The class of the first plot (Plot 1) had more consistent results.