Question

calculate harmonic mean from the following numbers :

18,37,42,49 58,87,88​

Answer 1

Answer: 41.9414

Step-by-step explanation:

Data: 18,37,42,49,58,87,88

No. of terms: 7

Formula attached below

Solution attached below

Answer 2

Answer: 41.94

Step-by-step explanation:

Let $x_i$ denotes the values of the data.

Harmonic mean Formula :

$\text{Harmonic Mean}=\dfrac{n}{\dfrac{1}{x_1}+\dfrac{1}{x_2}+\dfrac{1}{x_3}+....\dfrac{1}{x_n}}$

Given data : 18,37,42,49 58,87,88​

Number of data values : n= 7

$\text{Harmonic Mean}=\dfrac{7}{\dfrac{1}{18}+\dfrac{1}{37}+\dfrac{1}{42}+\dfrac{1}{49}+\dfrac{1}{58}+\dfrac{1}{87}+\dfrac{1}{88}}\\\\=\dfrac{7}{0.166899538205}\\\\=41.9413982524\approx41.94$

Hence, Harmonic mean = 41.94