What will be the mode of number
5,7,9,12,10,15,7,8,7,25 ?

Options

A. A)5
B. B)7
C. C)9
D. D)12

Answer

To find the mode of the given numbers \(5, 7, 9, 12, 10, 15, 7, 8, 7, 25\), we will follow these steps:

### Step 1: List the numbers
Write down the numbers given in the question:
\[ 5, 7, 9, 12, 10, 15, 7, 8, 7, 25 \]

### Step 2: Count the frequency of each number
Now, we will count how many times each number appears in the list:
- \(5\) appears \(1\) time
- \(7\) appears \(3\) times
- \(9\) appears \(1\) time
- \(12\) appears \(1\) time
- \(10\) appears \(1\) time
- \(15\) appears \(1\) time
- \(8\) appears \(1\) time
- \(25\) appears \(1\) time

### Step 3: Identify the number with the highest frequency
From the counts:
- The frequency of \(5\) is \(1\)
- The frequency of \(7\) is \(3\)
- The frequency of \(9\) is \(1\)
- The frequency of \(12\) is \(1\)
- The frequency of \(10\) is \(1\)
- The frequency of \(15\) is \(1\)
- The frequency of \(8\) is \(1\)
- The frequency of \(25\) is \(1\)

The number \(7\) has the highest frequency, which is \(3\).

### Step 4: State the mode
Since \(7\) has the highest frequency, the mode of the given numbers is:
\[ \text{Mode} = 7 \]

### Final Answer
The mode of the numbers \(5, 7, 9, 12, 10, 15, 7, 8, 7, 25\) is \(7\).

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