Common misconceptions › Class 10 › Maths › Statistics Class 10 Maths · Chapter 13 · NCERT (jemh113)
Statistics: common misconceptions
See the tempting mistake students make in Statistics, why it feels right at first glance, and a worked visual example that shows the right idea.
Worked visual “If your child says…” (5) Teach & practice The tempting mistake & worked visual Can you ignore frequencies in the mean? Wrong
If scores are 1 and 5, the mean is 3.
Why it feels right. I average the two score labels.
Right
Each score contributes as many times as it occurs.
Worked example
The mean counts all four students. A score of 1 is counted three times. If three students score 1 and one scores 5, the mean is (1 + 1 + 1 + 5) ÷ 4 = 2.
If your child says… (5 concept checks in this chapter)
As you work through Statistics , listen for these everyday misunderstandings and use the prompt alongside each one.
If your child says…
“There are three rows, so I divide by three.”
Ask together How many people do these three rows count altogether? What’s true These three rows represent four people, so divide the estimated total by four. If your child says…
“The tallest bar is three, so the mode is three minutes.”
Ask together Does the vertical scale measure people or minutes? What’s true Bar height counts people, while the horizontal position gives their waiting time. If your child says…
“No class count exceeds four, so there is no median class.”
Ask together How many waits have you counted altogether by the end of each class? What’s true The middle position counts waits across earlier classes too. If your child says…
“I can add three-quarters straight to the class's start.”
Ask together How many minutes is three-quarters of this two-minute interval? What’s true Multiply the fraction by the class width to turn it into minutes. If your child says…
“The mean always tells us the most common amount.”
Ask together Which original pile had the equal-share count of four? What’s true Here, four is the equal share; two is the most frequent original pile size. Use this chapter three ways Previous chapter Surface Areas and Volumes Next chapter Probability
In the app, your child answers a short check-in with confidence taps, and you see which of these misunderstandings showed up—and which ones are gone.
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