Find the mean of the following data.
(i) 3, 5, 3, 4, 2, 0, 7 and 10 (ii) 6.2, 5.6, 4.8, 11.2, 12.5, 7.4 and 6.3 (iii) 16, 39, 43, 120, 475, 248, 368

Answer

To find the mean of the given data sets, we will follow the formula for mean:

**Mean = (Sum of all observations) / (Number of observations)**

Now, let's solve each part step by step.

### Part (i): Data Set: 3, 5, 3, 4, 2, 0, 7, 10

**Step 1:** Write down the data.
- Data: 3, 5, 3, 4, 2, 0, 7, 10

**Step 2:** Calculate the sum of all observations.
- Sum = 3 + 5 + 3 + 4 + 2 + 0 + 7 + 10
- Sum = 34

**Step 3:** Count the number of observations.
- Number of observations = 8

**Step 4:** Calculate the mean.
- Mean = Sum / Number of observations = 34 / 8 = 4.25

### Part (ii): Data Set: 6.2, 5.6, 4.8, 11.2, 12.5, 7.4, 6.3

**Step 1:** Write down the data.
- Data: 6.2, 5.6, 4.8, 11.2, 12.5, 7.4, 6.3

**Step 2:** Calculate the sum of all observations.
- Sum = 6.2 + 5.6 + 4.8 + 11.2 + 12.5 + 7.4 + 6.3
- Sum = 54

**Step 3:** Count the number of observations.
- Number of observations = 7

**Step 4:** Calculate the mean.
- Mean = Sum / Number of observations = 54 / 7 ≈ 7.72

### Part (iii): Data Set: 16, 39, 43, 120, 475, 248, 368

**Step 1:** Write down the data.
- Data: 16, 39, 43, 120, 475, 248, 368

**Step 2:** Calculate the sum of all observations.
- Sum = 16 + 39 + 43 + 120 + 475 + 248 + 368
- Sum = 1309

**Step 3:** Count the number of observations.
- Number of observations = 7

**Step 4:** Calculate the mean.
- Mean = Sum / Number of observations = 1309 / 7 ≈ 187

### Final Results:
- Mean of Part (i) = 4.25
- Mean of Part (ii) ≈ 7.72
- Mean of Part (iii) ≈ 187