Question

If the median of x, 2x, 4x is 12, then find mean of the data.
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Answer 1

Answer:

• 14 is mean of the data.

Step-by-step explanation:

Given that:

• The median of x, 2x and 4x is 12.

To Find:

• Mean of the data.

We have,

• Data = x, 2x, 4x
• Number of observations = 3
• Median = 12

When number of observations is odd then,

• Median = {(n + 1)/2}th term

Where, n = number of observations

Finding the value of x:

Substituting the values in formula.

⇒ 12 = {(3 + 1)/2}th term

⇒ 12 = {4/2}th term

⇒ 12 = 2nd term

2nd term = 2x

⇒ 12 = 2x _____2nd term

⇒ x = 12/2

⇒ x = 6 _____1st term

⇒ 4x = (6 × 4) = 24 _____3rd term

We know:

Mean = (Sum of observations) /(Number of observations)

Finding the mean of the data:

⇒ Mean = (6 + 12 + 24)/3

⇒ Mean = 42/3

⇒ Mean = 14

Answer 2

Given,

• The median of x, 2x, 4x is 12.

To Find,

• The mean of the data.

Solution,

Finding Median;

Step 1

We Set the data in Ascending or Descending Order.

As

x , 2x , 4x

Step 2

We Find the total number data.

As

3 .

So,

We put Formula [(n + 1)/2]th Term

The Median Of Given Data = 12 •••(Given)

→ [(n + 1)/2]th Term = 12

→ [(3 + 1)/2]th Term = 12

→ [4/2]th Term = 12

→ 2nd Term = 12

→ 2x = 12

→ x = 12/2

→ x = 6

Finding Mean;

Mean

= Sum of Total Observation/Number Of Total Observation

→ Mean = (x + 2x + 4x)/3

→ Mean = [(6) + 2(6) + 4(6)]/3

→ Mean = [6 + 12 + 24]/2

→ Mean = 42/3

→ Mean = 14

Required Answer,

If the median of x, 2x, 4x is 12, then Mean of the data is 14.