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Mean, Median and Mode · Question 26 of 67

The daily wages of 40 farm workers are grouped below.

Question 26

MediumOriginal question
Daily wage (₹)Number of workers
200–2405
240–2807
280–32015
320–3608
360–4005

The daily wages of 40 farm workers are grouped below. Taking the assumed mean as ₹300, what is the mean daily wage?

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Class marks: 220, 260, 300, 340, 380. Deviations d from 300: −80, −40, 0, 40, 80.

  2. ∑fd=5(−80)+7(−40)+0+8(40)+5(80)=−400−280+320+400=40\sum fd = 5(-80) + 7(-40) + 0 + 8(40) + 5(80) = -400 - 280 + 320 + 400 = 40.

  3. Mean = 300+4040=301300 + \frac{40}{40} = 301.

Worth noting

₹299 comes from subtracting the correction instead of adding it. ₹300 forgets the correction entirely, and ₹302 divides Σfd by 20 instead of by 40.

Concept
Mean of grouped data by the assumed-mean method
Typical time
70 s
Your time
—
The rule this testsFrequency tables
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Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.