Question 4 of 7beginner🔧 ApplyNumerical3 marks

The following table gives the daily income of ten workers in a factory. Find the arithmetic mean. Workers A B C D E F G H I J Daily Income (in Rs) 120 150 180 200 250 300 220 350 370 260

Correct Answer

Rs 240

Exercise: EXERCISES | Q: 5 | (Page 15)
For More Understanding

Explanation

The arithmetic mean is calculated by dividing the sum of all observations by the number of observations. The sum of the daily incomes of the ten workers is Rs 2400, and the total number of workers is 10. Dividing the total income by the number of workers gives the mean income of Rs 240, which matches the answer provided in the context.

Solution Steps

  1. Step 1: Identify the daily incomes from the table: Rs 120, 150, 180, 200, 250, 300, 220, 350, 370, 260.

  2. Step 2: Calculate the Sum of Incomes (ΣX\Sigma X): 120 + 150 + 180 + 200 + 250 + 300 + 220 + 350 + 370 + 260 = Rs 2400.

  3. Step 3: Identify the Number of workers (NN): 10.

  4. Step 4: Apply the formula for Arithmetic Mean: Xˉ=ΣXN=240010=Rs 240\bar{X} = \frac{\Sigma X}{N} = \frac{2400}{10} = \text{Rs } 240.

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