What we see: a Table Analysis question. Every number in the table is a change from the month before, not a price level. That one fact settles all three statements.
Step 1. Read the table's header before any number.
What we see: the columns sit under "Seasonally adjusted changes from preceding month."
What it means: 0.3 under Jul 2010 means prices rose 0.3% from June to July. A 0 means prices did not move that month. A negative number means prices fell.
What we do and why: hold this in mind for each statement. Most mistakes here come from treating these numbers as index levels.
Step 2. Statement 1: did "All items" vary more month to month than "All items less food and energy," March to September 2010?
What we see: All items: 0.1, -0.1, -0.2, -0.1, 0.3, 0.3, 0.1. All items less food and energy: 0, 0, 0.1, 0.2, 0.1, 0, 0.
What it means: the first row swings from -0.2 to 0.3, a spread of 0.5 points, and flips between rising and falling. The second stays between 0 and 0.2 and never falls.
What we do and why: "All items" clearly moves around more. Yes.
Step 3. Statement 2: did electricity's CPI-U rise 0.5% from July to August 2010?
What we see: Electricity shows 0.5 under Jul and 0.2 under Aug.
What it means: the Aug number is the change from July to August, so the rise was 0.2%. The 0.5 is the rise from June to July.
What we do and why: the statement grabs the wrong month. No.
Step 4. Statement 3: was there no change in "All items less food and energy" from May to September 2010?
What we see: after May, that row shows 0.2 for June and 0.1 for July.
What it means: prices rose 0.2% in June and 0.1% more in July. August and September show 0, so they held still, but the level in September is higher than in May.
What we do and why: the index changed. No.
The trap: Statement 3. Seeing 0 in both the September column and nearby columns makes it look like nothing moved. But each cell is one month's change; the months in between add up.
Faster way: for "from month X to month Y," add the cells after X through Y. Here \(0.2 + 0.1 + 0 + 0 = 0.3\), not 0.
Takeaway: read the column header first. A table of changes answers "how much did it move that month," and a stretch of months needs the changes added together.
Answer: Yes, No, No