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Q.

Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarized as follows. Find the mean heart beats per minute for these women, choosing a suitable method.


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a

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b

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c

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d

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answer is A.

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Detailed Solution

Given that 30 women were examined in a hospital by a doctor and the number of heart beats per minute were recorded.
The frequency distribution table is
Question ImageWe need to calculate  the mean of the given data.
The formula for mean is given as
⇒x̲=∑fixi∑fi The value of ∑fixi is the sum of products of frequencies and their respective mid-interval of each class.
⇒∑fixi=(66.5×2)+(69.5×4)+(72.5×3)+(75.5×8)+                       (78.5×7)+(81.5×4)+(84.5×2)
⇒∑fixi=133+278+217.5+604+549.5+326+169
⇒∑fixi=2277
Now, summation of frequencies is,
⇒∑fi=2+4+3+8+7+4+2
⇒∑fi=30
Now, mean is
mean=227730
⇒mean=75.9
Therefore, the required mean is 75.9.
Hence, option 1 is the correct answer.
 
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