The hourly wages of 8 people are as follows.
Rs 200. Rs 150, Rs 50, Rs 30, Rs 60, Rs 150, Rs 180. Rs 60 Find a Mean b Median c. Mode
What avaerage will the employer use to show that the workers are well paid?

Answer

To solve the problem of finding the mean, median, and mode of the hourly wages of 8 people, we will follow these steps:

### Step 1: Arrange the Data in Ascending Order
The hourly wages given are:
- Rs 200
- Rs 150
- Rs 50
- Rs 30
- Rs 60
- Rs 150
- Rs 180
- Rs 60

Arranging these in ascending order, we get:
- Rs 30, Rs 50, Rs 60, Rs 60, Rs 150, Rs 150, Rs 180, Rs 200

### Step 2: Calculate the Mean
The mean is calculated as the sum of all observations divided by the number of observations.

1. **Sum of all observations**:
- Rs 30 + Rs 50 + Rs 60 + Rs 60 + Rs 150 + Rs 150 + Rs 180 + Rs 200
- = Rs 30 + Rs 50 = Rs 80
- = Rs 80 + Rs 60 = Rs 140
- = Rs 140 + Rs 60 = Rs 200
- = Rs 200 + Rs 150 = Rs 350
- = Rs 350 + Rs 150 = Rs 500
- = Rs 500 + Rs 180 = Rs 680
- = Rs 680 + Rs 200 = Rs 880

2. **Number of observations**: There are 8 observations.

3. **Mean calculation**:
- Mean = Total Sum / Number of Observations
- Mean = Rs 880 / 8 = Rs 110

### Step 3: Calculate the Median
The median is the middle value when the data is arranged in order. Since we have an even number of observations (8), the median will be the average of the two middle numbers.

1. The two middle numbers in the ordered list are the 4th and 5th values:
- 4th value: Rs 60
- 5th value: Rs 150

2. **Median calculation**:
- Median = (60 + 150) / 2 = 210 / 2 = Rs 105

### Step 4: Calculate the Mode
The mode is the number that appears most frequently in the data set.

1. From the arranged data:
- Rs 30 appears 1 time
- Rs 50 appears 1 time
- Rs 60 appears 2 times
- Rs 150 appears 2 times
- Rs 180 appears 1 time
- Rs 200 appears 1 time

2. The modes are Rs 60 and Rs 150, as both appear twice.

### Step 5: Determine Which Average to Use
To show that the workers are well paid, the employer would likely use the mean, as it gives a general idea of the average wage across all workers.

### Final Answers:
- a. Mean = Rs 110
- b. Median = Rs 105
- c. Mode = Rs 60 and Rs 150
- The average the employer will use to show that the workers are well paid is the Mean = Rs 110.

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