Question

For the data given below, Find the LCM of Mode, Mean and Median. 7, 2, 10, 4, 3, 12, 8, 4, 6, 4?

• A. 20
• B. 60
• C. 12
• D. 30

Answer 1

Answer:

B. 60

Given:

7, 2, 10, 4, 3, 12, 8, 4, 6, 4

Formula used:

Mode - The mode is the value that appears most frequently in a data set.

Mean $=\frac{sum of data}{number of data}$

Median = When data set is even $=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}$

Calculation:

7, 2, 10, 4, 3, 12, 8, 4, 6, 4

Firstly data arrange in ascending order

⇒ 2, 3, 4, 4, 4, 6, 7, 8, 10, 12

The mode is the value that appears most frequently in a data set.

⇒ Mode = 4

Mean $=\frac{sum of data}{number of data}$

$⇒\frac{(2 + 3 + 4 + 4 + 4 + 6 + 7 + 8 + 10 + 12)}{10}$

$⇒\frac{60}{10}$

⇒ 6

Median = When data set is even $=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}$

$⇒\frac{(\frac{10}{2})th+(\frac{10}{2}+1)th}{2}$

$⇒\frac{(5th + 6th)}{2}$

here 5th term is 4 and 6th term is 6

$⇒\frac{(4 + 6)}{2}$

$⇒\frac{10}{2}$

⇒ 5

LCM of Median, Mean and Mode

⇒ LCM of 5, 6, 4

$⇒3\times{4}\times{5}$

⇒ 60

∴ The LCM of Median, Mean and Mode is 60.