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During a medical checkup, the number of heart beats per minute of 40 patients were recorded and summarized as follows:

Class
84-90
90-96
96-102
102-108
108-114
114-120
Frequency
8
10
16
23
12
11

The mean heartbeats per minute for these patients is ____.

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Detailed Solution

The mean heartbeats per minute for these patients is 103.05.
Formula:

Mean = ∑ f i x i ∑ f i

, where

f

is the frequency and

x

is the mid value of the given class.
Given:

Class	84-90	90-96	96-102	102-108	108-114	114-120
Frequency	8	10	16	23	12	11

We have to find the mean of the following frequency distribution. The frequency distribution table will be

Class	Frequency ( $f_{i}$ )	Mid-value ( $x_{i}$ )	$f_{i} x_{i}$
84-90	8	87	696
90-96	10	93	930
96-102	16	99	1584
102-108	23	105	2415
108-114	12	111	1332
114-120	11	117	1287
	Σfi=80		Σ $f_{i} x_{i}$ =8244

To calculate the mean, apply formula:

M e a n = 824480 = 103.05

The mean of the following data is 103.05.

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