Mr. Wong is a history teacher. In order to study how his 1st period class did on a 100-point test, he made the stem-and-leaf plot shown. Twenty-five students took the test.
What conclusion can be drawn about the distribution of the data? Select two answers.
A. The data distribution is approximately symmetric.**
B. The data distribution is skewed right.
C. The data distribution is skewed left.
D. There is an outlier in the data.**
answers?
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To determine the conclusion about the distribution of the data from the given stem-and-leaf plot, we first need to understand what the plot represents. A stem-and-leaf plot is a graphical display of data that shows the individual values of a data set along with their frequencies.
To draw conclusions from the plot, we need to examine its characteristics:
1. Symmetry: If the stem-and-leaf plot is approximately symmetric, it means that the data is evenly distributed around the center. In this case, the plot does not show an equal distribution on both sides, so option A (The data distribution is approximately symmetric) cannot be selected.
2. Skewness: Skewness refers to the asymmetry of a distribution. A data distribution is considered skewed right if the tail of the plot extends to the right, indicating that there are a few exceptionally high values. On the other hand, a data distribution is considered skewed left if the tail extends to the left, indicating a few exceptionally low values. Looking at the given stem-and-leaf plot, there is no indication of a tail extending to either side, so options B (The data distribution is skewed right) and C (The data distribution is skewed left) cannot be selected.
3. Outliers: An outlier is an observation that significantly differs from the other observations in a data set. It is usually an extreme value that is either unusually high or low. To identify an outlier from the stem-and-leaf plot, we would look for values that are significantly separated from the rest. Since there are no individual values in the plot that stand out as unusually high or low, we can conclude that there is no outlier in the data.
Based on the characteristics observed from the stem-and-leaf plot, the correct conclusions about the distribution of the data are:
A. The data distribution is approximately symmetric.
D. There is no outlier in the data.
Therefore, options A and D are the correct answers.