Question

compute h.m of given data
x,:6 ,7,8,9,10,11
f:4,6,9,5,2, 8

Answer 1

Answer:

compute h.m of given data

x,:6 ,7,8,9,10,11

f:4,6,9,5,2

Answer 2

Answer:

The harmonic mean of the given data is 8.147

Step-by-step explanation:

Given:

x: 6, 7, 8, 9, 10, 11

f: 4, 6, 9, 5, 2, 8

To find:

Harmonic mean (hm)

Formula:

$hm=\frac{n}{sum(\frac{1}{x}) }$

Solution:

We know that the harmonic mean is given as the total number of terms divided by the sum of the reciprocal of each term. Therefore,

$hm=\frac{n}{sum(\frac{1}{x}) }$

In the given data, the total number of terms is 6, i.e., n = 6.

Substituting the given values in the above formula, we get

$hm=\frac{6}{\frac{1}{6} +\frac{1}{7}+\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11} }$

$hm = \frac{6}{0.7365}$

hm = 8.147

Therefore, the harmonic mean (h.m) is 8.147

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