study the given table and answer the question that follows.

The daily wages of 50 employees of a company is shown in the table.

Daily wages Interval Frequency (No. of Employee)
80-90 9
90-100 3
100-110 31
110-120 5
120-130 2


Select the correct statement from the following options.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. The average wage of the employees lie between 80-90.
  2. The average wage of the employees lie between 110-120.
  3. The average wage of the employees lie between 100-110.
  4. The average wage of the employees lie between 90-100.

Answer (Detailed Solution Below)

Option 3 : The average wage of the employees lie between 100-110.
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Detailed Solution

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Calculation:

Daily wages Interval Frequency (No. of Employee) Mid Value (wages)
80-90 9 85
90-100 3 95
100-110 31 105
110-120 5 115
120-130 2 125

Now, the average wage of the employees

⇒ (85 × 9 + 95 × 3 + 105 × 31 + 115 × 5 + 125 × 2)/(9 + 3 + 31 + 5 + 2) = 513/5 

⇒ 102.6

⇒ 100 < 102.6 < 110

∴ The average wage of the employees lies between 100-110.

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