Question

The mean and mode of 5, 3, 9, 1, 9, 8, 9, 4 are m and n respectively, the value of m+n is?

• A. 12
• B. 15
• C. 14
• D. 10

Hint:

To find the mean, sum all the values and divide by the total number of values. For mode, look for the value with the highest frequency.

Answer 1

The Correct Option is B

To find the mean and mode of the given numbers: 5, 3, 9, 1, 9, 8, 9, 4.
Step 1: Mean Calculation
The mean is calculated as the sum of all values divided by the number of values.
Sum of the numbers:
\[ 5 + 3 + 9 + 1 + 9 + 8 + 9 + 4 = 48 \] Number of values = 8
Thus, the mean \( m \) is: \[ m = \frac{48}{8} = 6 \] Step 2: Mode Calculation
The mode is the number that appears most frequently.
The frequency of each number is:
- 5 appears 1 time
- 3 appears 1 time
- 9 appears 3 times
- 1 appears 1 time
- 8 appears 1 time
- 4 appears 1 time
Since 9 appears the most (3 times), the mode \( n \) is 9.
Step 3: Find m + n
Now, \( m + n = 6 + 9 = 15 \). Thus, the value of \( m + n \) is \( 15 \).