Find the median and the mode of the following data:

2, 3, 5, 7, 2, 3, 3, 5, 7 and 9.

Correct option is A

Given:

Data: 2, 3, 5, 7, 2, 3, 3, 5, 7, 9.

Formula Used:

For median (even number of terms):

Median = $$\frac{(\frac {n}2)^{\text{th}} \text{term} + (\frac n2 + 1)^{\text{th}} \text{term}}{2}$$​

Mode is the number that appears most frequently

Solution:
Sorted data: 2, 2, 3, 3, 3, 5, 5, 7, 7, 9
Number of terms (n) = 10 (even)

Median:

5th term = 3

$$\text{6th term} = 5 \\ \ \\ \text{Median} = \frac{3 + 5}{2} = 4$$​

Mode:
3 appears 3 times, more than any other number.

Median = 4, Mode = 3