A set of numbers consists of three 4's , two 5"s , six 6's , eight 8's and sevan 10's .What is the mode of this collection of numbers ?

Options

A. 10
B. `7.5`
C. 7
D. 8

Answer

To find the mode of the given set of numbers, we need to identify which number appears most frequently in the collection. Let's break down the steps:

### Step 1: Count the frequency of each number
- The collection consists of:
- Three 4's: 4 appears 3 times
- Two 5's: 5 appears 2 times
- Six 6's: 6 appears 6 times
- Eight 8's: 8 appears 8 times
- Seven 10's: 10 appears 7 times

### Step 2: List the frequencies
- 4: 3 times
- 5: 2 times
- 6: 6 times
- 8: 8 times
- 10: 7 times

### Step 3: Identify the highest frequency
- Now, we compare the frequencies:
- 4 appears 3 times
- 5 appears 2 times
- 6 appears 6 times
- 8 appears 8 times (highest)
- 10 appears 7 times

### Step 4: Determine the mode
- The mode is the number that appears most frequently. Here, 8 appears 8 times, which is more than any other number.

### Conclusion
- Therefore, the mode of this collection of numbers is **8**.

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