The histogram below shows the distribution of annual growth rate in travel spending for 52 companies in the United States. Frequency 20+ 15 10 5 2 0+ 2 0 6 3 11 19 4 1 Annual Growth Rate (%) After creating this graph, it was discovered that the values for the companies with the 20 largest reported annual growth rates were miscalculated. In fact, each of these top 20 companies should have a higher value of annual growth rate than was previously reported. Which of the following statements must be true? (A) If you were to make a graph with the corrected values, the graph would be skewed to the left. (B) If you were to make a graph with the corrected values, the graph would be symmetric. (C) If you were to calculate the median with the corrected values, the new median would be greater than the old median. (D) If you were to calculate the interquartile range (IQR) with the corrected values, the new IQR would be the same as the old IQR. (E) If you were to find the value of the third quartile (Q3) with the corrected values, the new Q3 would be greater than the old Q3.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
Question
The histogram below shows the distribution of annual growth rate in travel spending for 52
companies in the United States.
Frequency
20+
15
10
5
2
0+
2
0
6
3
11
19
4
1
Annual Growth Rate (%)
After creating this graph, it was discovered that the values for the companies with the 20 largest
reported annual growth rates were miscalculated. In fact, each of these top 20 companies should
have a higher value of annual growth rate than was previously reported. Which of the following
statements must be true?
(A) If you were to make a graph with the corrected values, the graph would be skewed to the left.
(B) If you were to make a graph with the corrected values, the graph would be symmetric.
(C) If you were to calculate the median with the corrected values, the new median would be greater
than the old median.
(D) If you were to calculate the interquartile range (IQR) with the corrected values, the new IQR
would be the same as the old IQR.
(E) If you were to find the value of the third quartile (Q3) with the corrected values, the new Q3
would be greater than the old Q3.
Transcribed Image Text:The histogram below shows the distribution of annual growth rate in travel spending for 52 companies in the United States. Frequency 20+ 15 10 5 2 0+ 2 0 6 3 11 19 4 1 Annual Growth Rate (%) After creating this graph, it was discovered that the values for the companies with the 20 largest reported annual growth rates were miscalculated. In fact, each of these top 20 companies should have a higher value of annual growth rate than was previously reported. Which of the following statements must be true? (A) If you were to make a graph with the corrected values, the graph would be skewed to the left. (B) If you were to make a graph with the corrected values, the graph would be symmetric. (C) If you were to calculate the median with the corrected values, the new median would be greater than the old median. (D) If you were to calculate the interquartile range (IQR) with the corrected values, the new IQR would be the same as the old IQR. (E) If you were to find the value of the third quartile (Q3) with the corrected values, the new Q3 would be greater than the old Q3.
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