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3.4b · Critical Analysis of Data & Models · Sub-skill

Spreadsheets

Using spreadsheet formulas correctly, and spotting the common errors that creep into real-world spreadsheet models.

Build it up, step by step

Understanding spreadsheets

Click each step below to reveal it — work through them in order the first time round.

Step 1 · Basic formulas and cell references

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Spreadsheets calculate using formulas that reference cells, e.g. =A1+B1, or functions like =SUM(A1:A10) to add a range of cells, and =AVERAGE(A1:A10) to find a mean. You need to be able to read a formula and work out what value it will produce.

Step 2 · Relative vs absolute references

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When a formula is copied to other cells, a relative reference (e.g. A1) automatically adjusts to match its new position, but an absolute reference (e.g. $A$1, using dollar signs) stays fixed on the same cell. Forgetting to fix a reference to, say, a tax rate cell means it ‘shifts’ incorrectly when the formula is copied down.

Step 3 · Common spreadsheet errors

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Typical mistakes include: copying a formula without adjusting/fixing references correctly, including or excluding the wrong range of cells in a SUM (e.g. missing the last row), circular references, and formatting errors that hide the true value being used (e.g. a cell displaying a rounded value but calculating with the unrounded one).

Step 4 · Sense-checking a spreadsheet model

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Before trusting a spreadsheet's output, check: does the total look plausible? Do a few cells manually to verify the formula logic. Check that ranges in SUM/AVERAGE functions include all the intended rows/columns and nothing extra. A single small error copied across a whole sheet can badly distort every result.

Worked example

A spreadsheet has monthly sales figures in cells B2 to B13 (12 months). A student writes =SUM(B2:B12) in cell B15 to find the total for the year. Explain the error in this formula.

The range B2:B12 only covers 11 months (rows 2 to 12), missing the 12th month's figure in cell B13. The correct formula should be =SUM(B2:B13); as written, the total will be understated by whatever value is in B13.

Test yourself

Past-paper style question

A spreadsheet calculates commission for salespeople. Cell D2 contains the fixed commission rate (5%, stored as 0.05). The formula in cell C2 is =B2*D2 (where B2 is sales value), and this formula is copied down to cells C3 to C10 for other salespeople.

(a) Explain what will go wrong when the formula is copied down, and why.
(b) State how the formula in C2 should be written to avoid this error. [4 marks]

Show the answer

(a) Because D2 is a relative reference, when the formula =B2*D2 is copied down to C3, it will automatically change to =B3*D3 — but D3 is empty (the rate was only entered once, in D2), so the calculation will use 0 instead of 5%, giving £0 for every row except the first.

(b) The formula should use an absolute reference for the rate cell: =B2*$D$2, so that when copied down, it always refers back to D2, keeping the commission rate fixed at 5% for every row.

Practice

Spreadsheets worksheet

Five short questions on spreadsheets. Work through them, then reveal the mark scheme to check.

  1. Explain the difference between a relative cell reference and an absolute cell reference.
  2. A formula =SUM(A1:A5) is used, but the data actually runs from A1 to A6. What error will this cause?
  3. Write the correct formula to find the average of the values in cells B2 to B20.
  4. A spreadsheet displays a value as ‘£4.50’ but a later formula that uses this cell seems to use ‘£4.4978’. Suggest why this discrepancy might occur.
  5. A student copies a formula referencing a fixed VAT rate cell down a column of 50 rows, without using an absolute reference. Explain the likely consequence.

Mark scheme

  1. A relative reference automatically changes/adjusts to match its new position when a formula is copied; an absolute reference (marked with $ signs, e.g. $A$1) stays fixed on the same cell no matter where the formula is copied.
  2. The last value (in A6) will be excluded from the sum, so the total will be understated/incorrect (missing one value).
  3. =AVERAGE(B2:B20).
  4. The cell is likely displaying a rounded value (£4.50 to 2 decimal places) for readability, but the actual stored value used in calculations is the unrounded figure (£4.4978) — formatting only changes how a number looks, not the value stored/used.
  5. Because it's a relative reference, it will shift to a different (likely empty or incorrect) cell in each row as it's copied down, so only the first row will correctly use the VAT rate — every other row will produce a wrong (probably zero or error) result.
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