Question

the pulse rate of 5 person are given as 72 75 67 73 76 calculate harmonic mean​

Answer 1

Answer:

The harmonic mean is 72.6

Answer 2

Answer:

Concept:

The harmonic mean is a type of average used in mathematics, specifically one of the Pythagorean means. In some circumstances, when the average rate is sought, it is appropriate.

Step-by-step explanation:

Given:

Pulse rate of 5 persons : $72 ,75, 67, 73, 76$

To find:

Harmonic mean of given set of pulse rate values

Solution:

• The reciprocal of the arithmetic mean of the reciprocals of the provided set of observations can be used to express the harmonic mean.
• The abbreviation LCM stands for lowest common multiple. It is additionally known as the biggest common factor. The smallest number among all common multiples of a particular number is the least common multiple of more than one number.
• LCM = LCM of numerators / HCF of denominators
• Harmonic mean is given by :

                                         $H =\frac{n}{\sum\frac{1}{x_{i} } }$

                                      $H=\frac{5}{\frac{1}{72} +\frac{1}{75} +\frac{1}{67} +\frac{1}{73} +\frac{1}{76} }$

                                      $H=72.45$

                                     

Hence, harmonic mean is $72.45$                                      

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