1. Lighthouse

Level 1 · A typical order line with AVERAGE, MEDIAN and MODE.SNGL

The request

From Megan Collins, Head of Sales

“I'm writing the September sales note and want one line on a typical order line from Tuesday the 16th. Average and median of line revenue, please, and the quantity people buy most often. If the two numbers disagree, tell me which one to quote.”

Your goal

The 38 completed order lines of September 16, 2025 are in A1:F39. In I1, compute the average line_revenue (F2:F39) with AVERAGE. In I2, the median line_revenue with MEDIAN. In I3, the most common quantity (D2:D39) with MODE.SNGL.

  • Fill I1:I3 with the right valuesnot done yet
  • With formulas, not typed numbersnot done yet
  • Use AVERAGE MEDIAN MODE.SNGLnot done yet

Your sheet

Excel
The sheet for this level
ABCDEFGHIJ
1order_idproductcategoryquantityunit_priceline_revenueAverage line revenue
210957Cove Cast Iron Dutch OvenKitchen110.9910.99Median line revenue
310957Orchard Walnut Side TableFurniture1439.00439.00Most common quantity
410957Birch Brass Floor MirrorDecor120.9920.99
510957Oakley Enamel Dutch OvenKitchen1109.00109.00
610957Weston Ash Bed FrameFurniture21599.003198.00
710958Delancey Black Metal Wall SconceLighting154.9954.99
810959Nantucket Brass Wall MirrorDecor117.9917.99
910959Northfield Teak Charcoal GrillOutdoor153.9953.99
1010960Glen Stoneware CarafeKitchen360.99182.97
1110960Cove Wool Lumbar PillowTextiles152.9952.99
1210960Vale Enamel Bowl SetKitchen811.9995.92
1310960Birch Brass Floor MirrorDecor220.9941.98
1410960Quarry Ceramic Picture LightLighting2329.00658.00
1510961Delancey Brass VaseDecor119.9919.99
1610961Alder Oak Coffee TableFurniture1919.00919.00
1710961Vale Cashmere-Blend Knit ThrowTextiles218.9937.98
1810961Thatcher Oak CandleDecor417.9971.96
1910962Harbor Oak Floor MirrorDecor244.9989.98
2010962Ridge Soy Wax VaseDecor1109.00109.00
2110963Fairhaven Brass Wall SconceLighting4189.00756.00
2210963Monroe Glass Desk LampLighting129.9929.99
2310963Upland Percale Lumbar PillowTextiles1159.00159.00
2410963Dune Black Metal Pendant LightLighting1189.00189.00
2510963Glen Stoneware CarafeKitchen160.9960.99
2610964Vale Enamel Bowl SetKitchen211.9923.98
2710964Weston Ash Bed FrameFurniture11599.001599.00
2810965Delancey Brass VaseDecor219.9939.98
2910965Northfield Brass Bud VaseDecor1676.991231.84
3010965Pine Cotton Area RugTextiles2139.00278.00
3110966Vale Enamel Bowl SetKitchen111.9911.99
3210967Harbor Oak Floor MirrorDecor244.9989.98
3310967Birch Brass Floor MirrorDecor220.9941.98
3410968Pine Glass Candle Holder SetDecor325.9977.97
3510968Oakley Brass Framed PrintDecor4104.99419.96
3610969Monroe Stoneware Utensil SetKitchen313.9937.77
3710969Monroe Glass Desk LampLighting129.9926.99
3810970Cove Cast Iron Dutch OvenKitchen410.9943.96
3910970Weston Cashmere-Blend QuiltTextiles125.9925.99
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Loading the editor…

    ResultPress Check to compare I1:I3

    Mote checks your result

    Press Check. Each right cell becomes a firefly in your lantern.

    The lesson

    Three functions answer “what is typical?” and they often disagree. The disagreement is not a problem to hide: it tells you what the data looks like. This sheet holds every completed order line from Tuesday, September 16, 2025: 38 lines, from a $10.99 Dutch oven to a $3,198 pair of bed frames.

    The mean: AVERAGE

    =AVERAGE(F2:F39)

    AVERAGE adds the numbers and divides by how many there are. Here 11,329.09 ÷ 38 gives 298.13. Every value has a say in the mean, in proportion to its size, which is both its strength and its weakness: the $3,198 line in F6 weighs as much as 32 ordinary $100 lines.

    AVERAGE ignores empty cells and text in a range. It does count zeros, so a 0 typed for “no data” drags it down, while a blank cell does not.

    The median: MEDIAN

    =MEDIAN(F2:F39)

    MEDIAN sorts the values and takes the one in the middle. With an odd count that is one value. With 38 values there are two middle ones, the 19th and the 20th, so Excel averages them: (60.99 + 71.96) ÷ 2 = 66.475, shown as $66.48.

    Half of the lines are below the median and half above, whatever the biggest line is. Change the $3,198 in F6 to $30,000 and the median does not move at all, while the mean jumps by about $700.

    The mode: MODE.SNGL

    =MODE.SNGL(D2:D39)

    The mode is the value that appears most often. It is most useful on small whole numbers like quantities, sizes or ratings, where values repeat. Here it returns 1: 19 of the 38 lines are a single unit, and 10 more are two units.

    Function What it returns Here
    AVERAGE sum ÷ count $298.13
    MEDIAN the middle value $66.48
    MODE.SNGL the most frequent value 1 unit

    MODE.SNGL returns #N/A when no value repeats, which is the usual result on prices with cents. When two values tie, it returns the one that appears first in the range. MODE is the older name and gives the same answer; Google Sheets has both.

    Mean far above median: what to tell Megan

    The mean is about 4.5 times the median. That gap is the signal: a few large lines pull the mean up while most lines are small. Only 8 of the 38 lines are above $298.13. Take out the three lines over $1,000 (F6, F27 and F29) and the mean falls to $151.44, while the median barely moves, to $54.99.

    So the honest sentence is: “A typical order line on September 16 was about $66; three large furniture and decor lines lifted the average to $298.” Revenue, order values and salaries almost always look like this. Quote the median as typical, and keep the mean for totals, because mean × count gives back the day’s revenue and the median does not.

    Common mistakes

    • Quoting the mean as typical on skewed data like order values.
    • Taking the mode of revenue. Amounts with cents rarely repeat, so you get #N/A or a meaningless coincidence. Use the mode on quantities and categories.
    • Including the header or a total row in the range: a total row doubles the sum and wrecks the mean.
    • Zeros for missing data. AVERAGE and MEDIAN count a 0 but skip a blank cell.

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