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705-805 Level|   Graphs|      
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Sajjad1994
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The Graph shows changes in the Consumer Price Index for the New York 10 Oct 2023, 10:36
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Dropdown 1: 0.125 Dropdown 2: 1.1
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95% (hard)

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48% (02:28) correct 52% (02:45) wrong based on 1213 sessions

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Data Insights (DI) Butler 2023-24 [Question #32, Date: Oct-11-2023] [Click here for Details]

The Graph shows changes in the Consumer Price Index for the New York– New Jersey–Connecticut tri-state area in 2010 and 2011.

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1. The average change in CPI over the year 2010 was approximately .

2. The range of change in the CPI over the year 2011 was .


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The average change in CPI in 2011 exceeded the average change in CPI of 2010 by an average of ____________.

(A) 0 points
(B) 0.1 point
(C) 0.2 point
(D) 0.3 point
(E) 0.4 point

Answer: B

Question #1 based on the same graph is available here
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Dropdown 1: 0.125 Dropdown 2: 1.1
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The Graph shows changes in the Consumer Price Index for the New York 12 Feb 2024, 09:39
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Here is a visual solution so you can solve the question in ~1min (very useful when facing questions about average)­­
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The Graph shows changes in the Consumer Price Index for the New York 12 Oct 2023, 10:46
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1. The average change in CPI over the year 2010 was approximately

let's take all 12 data points of 2010 and add them, we get 1.5

avg = 1.5/12 = 0.125

ANSWER: 0.125

2. The range of change in the CPI over the year 2011 was

range = 0.7 - (-0.4) = 1.1

ANSWER: 1.1
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The Graph shows changes in the Consumer Price Index for the New York 09 Dec 2023, 01:54
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The average change in CPI in 2011 exceeded the average change in CPI of 2010 by an average of ____________.

(A) 0 points
(B) 0.1 point
(C) 0.2 point
(D) 0.3 point
(E) 0.4 point


Can someone post the solution to this question?

I am getting 2.125 as the answer
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The Graph shows changes in the Consumer Price Index for the New York 09 Dec 2023, 11:02
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Official Explanation

1. The average change in CPI over the year 2010 was approximately __________

The average change in CPI over the year 2010 can be calculated using the data points and online calculator. The monthly change in CPI values for 2010 fluctuated over a relatively small range. The change in CPI was 0% in February, September, November, and December, and 0.2% in January, April, May, August, and October. In March the CPI changed by 0.5%, in June by -0.1%, and in July by 0.1%. Use these values to find the average change:

\(\frac{1.0 +0.5}{12} = 0.125\)

Answer: B

2. The range of change in the CPI over the year 2011 was _______

The greatest percentage increase in the CPI in 2011 was 0.7% in March, and the greatest decline was –0.4% in December. The range of changes in the CPI over the year 2011 was 0.7 – (–0.4) = 1.1 percentage points.

Answer: E

The first impulse may be to find month-by-month differences and average those differences, but you can obtain the same result by finding the difference of the annual averages, and since one of these was already calculated for an earlier question, that will be the more efficient path. The average change in CPI in 2010, determined in problem 358, was 0.125. Find the average CPI for 2011:

\(\frac{0.3+0.5+0.7+0.4+0.6+0.2+0.3+0.4+0.2-0.2+0.3+0.4}{12} = \frac{2.7}{12} = 0.225\)

Answer: B
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YuktiMaheshwari
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The Graph shows changes in the Consumer Price Index for the New York 11 Feb 2024, 13:13
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Why have we added the negative percent change instead of subtracting to calculate the first answer??
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imRaj
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The Graph shows changes in the Consumer Price Index for the New York 30 Apr 2024, 21:39
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mmdfl
Here is a visual solution so you can solve the question in ~1min (very useful when facing questions about average)­
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­Hi mmdfl,
Can u explain this visual approach of yours?
Why are you ignoring the 2 extreme values in the graph of 2010 while  calculating the average?They will also have an effect on the average,right?
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The Graph shows changes in the Consumer Price Index for the New York 09 Jul 2025, 21:53
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This is a really tricky question.
The two lines are quite easy to messed up.

First of all, the y-axis is 'percent change', so it needs to calculate the average of 12 data points in 2010.
The second question needs to find the max and min of 2011 and get the difference between them.
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The Graph shows changes in the Consumer Price Index for the New York 12 Sep 2025, 13:15
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Hi, Can you please share the detail version of this trick/solution. Would highly appreciate it!
mmdfl
Here is a visual solution so you can solve the question in ~1min (very useful when facing questions about average)­
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