Compare the outliers and interquartile ranges (IQRs) for the data sets. Which statement is true?A.African Elephants have a greater IQR because there were some very short elephants (low outliers).B.African Elephants have a smaller IQR because there were some very short elephants (low outliers).C.Asian Elephants have a greater IQR because most of the elephants were about the same height.D.African Elephants have a greater IQR because there were some very tall elephants (high outliers).SUBMITarrow_backPREVIOUS
Question
Compare the outliers and interquartile ranges (IQRs) for the data sets. Which statement is true?A.African Elephants have a greater IQR because there were some very short elephants (low outliers).B.African Elephants have a smaller IQR because there were some very short elephants (low outliers).C.Asian Elephants have a greater IQR because most of the elephants were about the same height.D.African Elephants have a greater IQR because there were some very tall elephants (high outliers).SUBMITarrow_backPREVIOUS
Solution
To answer this question, we first need to understand what an Interquartile Range (IQR) and outliers are.
The IQR is a measure of statistical dispersion, being equal to the difference between the upper and lower quartiles. In simpler terms, it's the range within which the middle 50% of your data falls.
Outliers are data points that are significantly different from other observations. They could be exceptionally high or low.
Now, let's analyze the statements:
A. African Elephants have a greater IQR because there were some very short elephants (low outliers). This statement is incorrect. Outliers do not affect the IQR. The IQR only considers the middle 50% of data, so very short or very tall elephants would not affect it.
B. African Elephants have a smaller IQR because there were some very short elephants (low outliers). This statement is also incorrect for the same reason as above. Outliers do not affect the IQR.
C. Asian Elephants have a greater IQR because most of the elephants were about the same height. This statement could be true. If most of the elephants are about the same height, it means the data is less dispersed, which could lead to a smaller IQR. However, without specific data, we can't definitively say this is true.
D. African Elephants have a greater IQR because there were some very tall elephants (high outliers). This statement is incorrect for the same reason as A and B. Outliers do not affect the IQR.
Without specific data, we can't definitively answer this question. However, based on the information given, none of the statements are necessarily true.
Similar Questions
These dot plots show the heights (in feet) from a sample of two different types of elephants.Click here for long descriptionCompare the outliers and interquartile ranges (IQRs) for the data sets. Which statement is true?A.African Elephants have a greater IQR because there were some very short elephants (low outliers).B.African Elephants have a smaller IQR because there were some very short elephants (low outliers).C.Asian Elephants have a greater IQR because most of the elephants were about the same height.D.African Elephants have a greater IQR because there were some very tall elephants (high outliers).SUBMITarrow_backPREVIOUS
Which statement is the most appropriate comparison of the spreads?A.The interquartile range (IQR) for town A, 45°, is less than the IQR for town B, 50°.B.The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°.C.The standard deviation for town A, 15°, is less than the standard deviation for town B, 20°.D.The interquartile ranges (IQRs) for towns A and B are both 30°.
Which of the following statements is true for an outlier?It is a data point that is below Q1 - 1.5 x IQR or above Q3 + 1.5 x IQR.It is a data point that is below or above Q3 ± 1.5 x IQR.It is a data point that is below or above Q1 ± 1.5 x IQR. It is a data point that is between Q1 + 1.5 x IQR and Q3 - 1.5 x IQR.
Which statement about the interquartile range is correct?Select one:a.Like the mean, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygonb.Like the median, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyc.Like the mean, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyd.Like the median, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygon
The Interquartile Range (IQR), a fundamental measure in Descriptive Statistics, is best described as: A. The difference between the highest and lowest values in a dataset. B. The variance between the mean and the median of a dataset. C. The gap between the upper (Q3) and lower quartile (Q1) of a dataset. D. The summation of the dataset's upper (Q3) and lower quartile (Q1).
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