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Spot a Fake Average!

Have you ever seen a sign that says Average prize: $1,000! but almost nobody actually won that much?

That can happen because there are two kinds of "average": the mean and the median.

Today you will become a number detective and learn when one of them is tricking you. Let's go! 👉

The Mean = share it equally

The mean is the "fair share" average. You add up everything, then split it equally between everyone.

3 friends have these sweets:

🙂 2 😀 4 😄 6

2 + 4 + 6 = 12 sweets, shared by 3 friends.

Try it: What is 12 shared equally among 3 friends?

The Median = the one in the middle

The median is different. You line everyone up smallest to biggest, then point to the one standing right in the middle.

Drag the number cards into order. The middle box will glow — that number is the median!

Numbers to sort: 7, 3, 5

Smallest → Biggest. Drop a card on each box.

When a giant number sneaks in 🦣

Look at how much money 5 children have. Four are normal... but one is super rich!

$2
$3
$4
$6
$85

Tap each box to reveal its average. Which one feels "fair"?

Mean
Tap to reveal 👆
$2+3+4+6+85 = $100
$100 ÷ 5 = $20 each
Median
Tap to reveal 👆
Lined up: 2, 3, 4, 6, 85
Middle one = $4

The mean says $20, but nobody really has near $20! The one giant number ($85) pulled the mean up. That is a fake-looking average.

Watch the mean get pulled 🧲

The mean gets dragged toward giant numbers. The median stays calm in the middle. Slide the rich kid's money and watch!

median mean

Rich kid has: $5

Drag the slider to make one kid richer →

Be the Average Detective 🔎

An advert shouts: Average worker earns $9,000 a month!

But the real pay of the 5 workers is:

$2k
$2k
$3k
$3k
$35k

The boss earns a HUGE $35k. Most workers earn about $2k–$3k.

Which "average" did the advert use to look impressive?

Pick the honest average ⚖️

Read each story. Tap the average that gives a fair, true picture.

Story 1 of 3

🏅🎉

You're an Average Detective!

Now you can spot a fake average. Here's your detective badge of knowledge:

Next time you see "average," ask: "Is one giant number tricking me?" 🕵️ Well done!