Mr. Wong is a history teacher. In order to study how his 6th period class did on a 100-point test, he made the stem-and-leaf plot shown. Twenty-five students took the test.
The figure shows the stem-and-leaf plot labeled as Student Scores on History Test. In the plot, 6th Period Class represents the leaf. For 0 as stem, there is no value of leaf. For 1 as stem, there is no value of leaf. For 2 as stem, leaf is 8. For 3 as stem, there is no value of leaf. For 4 as stem, there is no value of leaf. For 5 as stem, leaves are 2, 7, and 7. For 6 as stem, leaves are 0, 1, 8, and 9. For 7 as stem, leaves are 0, 2, 2, 3, 5, and 8. For 8 as stem, leaves are 1, 1, 5, 6, 7, and 9. For 9 as stem, leaves are 0, 2, 6, and 8. And for 10 as stem, leaf is 0. Below the plot, Key: for 7 as stem and 5 as leaf the value equals 75 points is labeled.
Which conclusion can Mr. Wong draw from this data display? Select two answers.
A.
There were no perfect scores on the test.
B.
One student’s score is an outlier.
C.
Most students scored above an 80.
D.
The same number of students scored 70-79 and 80-89.
i got the same question
does anyone have a answer
please
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To answer this question, we need to analyze the stem-and-leaf plot provided. This plot is a way to display data and organize scores in a visual format.
Looking at the stem-and-leaf plot:
- The plot shows the scores of 25 students in Mr. Wong's 6th period class.
- Each stem represents a range of scores, and each leaf represents an actual score within that range.
- The stem-and-leaf plot shows a distribution of scores.
Now, let's go through each statement to determine which conclusions Mr. Wong can draw from this data display:
A. There were no perfect scores on the test.
To determine if there were any perfect scores (a score of 100), we need to look for the stem 10 with a leaf of 0. According to the plot, there is a leaf of 0 for the stem 10. Therefore, there was at least one perfect score on the test. This statement is not correct.
B. One student’s score is an outlier.
To identify outliers, we look for scores that are significantly higher or lower than the majority of the scores. In this stem-and-leaf plot, there are no scores that stand out as extreme outliers. Therefore, we cannot conclude that one student's score is an outlier based on this data display. This statement is not correct.
C. Most students scored above an 80.
To determine if most students scored above 80, we need to examine the distribution of scores. Looking at the stem-and-leaf plot, we see that the majority of scores are in the 70-79 and 80-89 range. However, we cannot conclude whether most students scored above 80 without additional information. This statement is not necessarily correct.
D. The same number of students scored 70-79 and 80-89.
To determine if the same number of students scored in the 70-79 and 80-89 range, we count the number of leaves in each range. The 70-79 range has 8 leaves (representing 8 students), and the 80-89 range also has 8 leaves. Therefore, we can conclude that the same number of students scored in these two ranges. This statement is correct.
Based on the analysis, the two correct conclusions that Mr. Wong can draw from this data display are:
- D. The same number of students scored 70-79 and 80-89.
- (None of the given options) "E. There were no students who scored below 70."