Question 13ii The following are the ages of 300 patients getting medical treatment in a hospital on a particular day - Agein year 10-20 20-30 30-40 40 - 50 50-60 60-70- Number of patients 60 42 55 70 53 20- - Form ii More than type cumulative frequency distribution-

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Standard X

Mathematics

Cumulative Frequency

Question 13ii...

Question

Question 13(ii)
The following are the ages of 300 patients getting medical treatment in a hospital on a particular day
$\begin{matrix} A g e (i n y e a r) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 N u m b e r o f p a t i e n t s & 60 & 42 & 55 & 70 & 53 & 20 \end{matrix}$
Form

(ii) More than type cumulative frequency distribution.

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Solution

(ii) Also, we observe that all 300 patients which take medical treatment more than or equal to 10. Since, there are 60 patients which take medical treatment in the interval 10-20, this means that there are 300 - 60 = 240 patients which take medical treatment more than or equal to 20. Continuing in the same manner.
$\begin{matrix} M o r e t h a n t y p e & M o r e t h a n t y p e A g e (i n y e a r) & N u m b e r o f s t u d e n t s M o r e t h a n o r e q u a l t o 10 & 300 M o r e t h a n o r e q u a l t o 20 & 240 M o r e t h a n o r e q u a l t o 30 & 198 M o r e t h a n o r e q u a l t o 40 & 143 M o r e t h a n o r e q u a l t o 50 & 73 M o r e t h a n o r e q u a l t o 60 & 60 \end{matrix}$

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Q. The following are the ages of 300 patients getting medical treatment in a hospital on a particular day

\begin{matrix} A g e (i n y e a r) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 N u m b e r o f p a t i e n t s & 60 & 42 & 55 & 70 & 53 & 20 \end{matrix}

Form:
More than type cumulative frequency distribution.

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:
$\begin{matrix} Age (in years) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Numbr of patients & 90 & 50 & 60 & 80 & 50 & 30 \end{matrix}$
Construct the cumulative frequency table for the above data.

Q. The following table shows ages of 300 patients getting medical treatment in a hospital on a particular day.
Find the median age of patients

Age (in years)	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70
No. of Patients	60	42	55	70	53	20

The following are the ages of 300 patients getting medical treatment in a hospital on a particular day:

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	60	42	55	70	53	20

Form a 'less than type' cumulative frequency distribution. [CBSE 2013]

Q. The ages (in years) of 360 patients treated in a hospital on a particular dayare given below.

\begin{matrix} Age in years & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Number of patients & 90 & 40 & 60 & 20 & 120 & 30 \end{matrix}

Draw a histogram and a frequency polygon on the same graph to represent the above data.

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Question 13(ii) The following are the ages of 300 patients getting medical treatment in a hospital on a particular day Age(in year)10−2020−3030−4040−5050−6060−70Number of patients604255705320 Form (ii) More than type cumulative frequency distribution.