Question

These dot plots show the weights (in kilograms) from a sample of leopards and tigers. Compare the outliers and interquartile ranges (IQR) for the data sets. Which statement is true?

A. Tigers have a greater IQR because there were some very small tigers (low outliers)
B. Tigers have a smaller IQR because there were some very heavy tigers (high outliers)
C. Tigers have a greater IQR because there were some very heavy tigers (high outliers)
D. Leopards have a greater IQR because most of the leopard weighed about the same.

Answer 1

(C)

Explanation:

The Interquartile range is the measure of the variability. From the dot plots, we can see that the dot graph of tigers is more than that of the graph of leopards, therefore the IQR of tiger is greater.

Also, the weights of the tigers are more than the weights of the leopards, thus there were some very heavy tigers.

Therefore, Tigers have a greater IQR because there were some very heavy tigers (high outliers).

Hence, option C is correct.

Answer 2

The correct answer is C

Explanation:

The variability in the dot graph of tigers is more than that of the graph of leopards so the IQR of tiger is greater

Also as compared to leopards tigers are mostly heavily weighted and consequently high outliers.

So, the option C : Tigers have a greater IQR because there were some very heavy tigers is right.