Question

In a small factory one supervisor and four labourers work. The labourers draw salary of \(\rupee 5000\) per month each while supervisor gets \(\rupee 15000\) per month. Which of the following are mean and mode of the salaries?

• A. \(\rupee 5000,\ \rupee 7000\)
• B. \(\rupee 7000,\ \rupee 5000\)
• C. \(\rupee 20000,\ \rupee 4000\)
• D. \(\rupee 5000,\ \rupee 15000\)

Hint:

Mean is average, while mode is the most repeated observation.

Answer 1

The Correct Option is B

Concept:
Mean is the average of all observations. Mode is the observation that occurs most frequently.

Step 1: Write the salaries.
There are four labourers and each gets: \[ \rupee 5000 \] So, labourers' total salary: \[ 4\times 5000=20000 \] Supervisor salary: \[ \rupee 15000 \]

Step 2: Find total salary. \[ 20000+15000=35000 \]

Step 3: Find total number of persons. \[ 4+1=5 \]

Step 4: Calculate mean. \[ \text{Mean}=\frac{35000}{5} \] \[ \text{Mean}=7000 \]

Step 5: Find mode.
The salaries are: \[ 5000,\ 5000,\ 5000,\ 5000,\ 15000 \] The salary \(\rupee 5000\) occurs most frequently. So, \[ \text{Mode}=5000 \] \[ \therefore \text{Correct Answer is (B)} \]