Question

the arithmetic mean of the data 7, 8, k, 11, 14, is k then find the value of k is ​

Answer 1

Answer:

7+8+k+11+14=0

40k=0

k= -40

Answer 2

The value of k = 10

Step-by-step explanation:

The given observations:

7, 8, k, 11 and  14

The arithmetic mean = k

To find, the value of k = ?

Here, number of observations = 5

We know that,

Arithmetic mean $=\dfrac{Sum of all observations}{Number of observations}$

⇒ $\dfrac{7+8+k+14+11}{5}=k$

⇒ $\dfrac{40+k}{5}=k$

By crossmultiplication, we get

5k = 40 + k

⇒ 5k - k = 40

⇒ 4k = 40

⇒ $k=\dfrac{40}{4}$

⇒ k = 10

Hence, the value of k = 10