Find the mode of the data
Q(i) 10, 8, 4, 7, 8, 11, 15, 8, 6, 8
(ii) 27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27

Answer

To find the mode of the given data sets, we will follow these steps:

### Part (i): Data Set: 10, 8, 4, 7, 8, 11, 15, 8, 6, 8

1. **List the numbers**: Write down the data set clearly.
- Data: 10, 8, 4, 7, 8, 11, 15, 8, 6, 8

2. **Count the frequency of each number**:
- 10 appears 1 time
- 8 appears 4 times
- 4 appears 1 time
- 7 appears 1 time
- 11 appears 1 time
- 15 appears 1 time
- 6 appears 1 time

3. **Identify the number with the highest frequency**:
- The number 8 appears the most frequently (4 times).

4. **State the mode**:
- Therefore, the mode of the first data set is **8**.

### Part (ii): Data Set: 27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27

1. **List the numbers**: Write down the data set clearly.
- Data: 27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27

2. **Count the frequency of each number**:
- 27 appears 5 times
- 23 appears 1 time
- 39 appears 1 time
- 18 appears 1 time
- 21 appears 1 time
- 40 appears 1 time
- 36 appears 1 time

3. **Identify the number with the highest frequency**:
- The number 27 appears the most frequently (5 times).

4. **State the mode**:
- Therefore, the mode of the second data set is **27**.

### Final Answers:
- (i) Mode = 8
- (ii) Mode = 27

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