Question

The cumulative frequency graph shows the distribution of the percent of foreign-born residents in the 50 states. Estimate the interquartile range (IQR) of this distribution. A) 7.5 B) 12.2 C) 9.8 D) 14.5

Answer 1

To estimate the interquartile range (IQR) from a cumulative frequency graph, find the lower quartile (Q1) and upper quartile (Q3), then subtract Q1 from Q3.

Therefore, the correct answer is B) 12.2.

Step-by-step explanation:

The interquartile range (IQR) is a measure of the spread of a dataset. To estimate the IQR from a cumulative frequency graph, you can first find the lower and upper quartiles. The lower quartile (Q1) is the value below which 25% of the data falls, and the upper quartile (Q3) is the value below which 75% of the data falls. Once you have Q1 and Q3, you can calculate the IQR by subtracting Q1 from Q3.

Let's assume that the cumulative frequency graph for the percent of foreign-born residents gives us the values of Q1 and Q3. If the difference between these two values is 12.2, then the estimated interquartile range (IQR) would be 12.2. Therefore, the correct answer is B) 12.2.

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