Name: Interpolation and Extrapolation of Data
Uploaded: 2019-07-19
Duration: 2 min 43 s
Description: Interpolation is estimating values in the known range, while extrapolating is going beyond. In this video, learn the difference between interpolation and ext...

Question

The following table shows the ages of the patients admitted in a hospital during a year. Find the mean

Age (in years)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Number of Patients	$6$	$11$	$21$	$23$	$14$	$5$

Write $3$ conclusions about this data.

Accepted Answer

Given,

Age (in years) $5 - 15$ $15 - 25$ $25 - 35$ $35 - 45$ $45 - 55$ $55 - 65$

Number of Patients $6$ $11$ $21$ $23$ $14$ $5$

First we find the mid-point. To find mid-point we have to use class limit. Mid point is the average of upper limit and lower limit of class. So, mid-point of the class are as shown below:

Age (in years) Number of Patients $(f_{i})$ Mid-point $(x_{i})$ $(f_{i} x_{i})$

$5 - 15$ $6$ $10$ $60$

$15 - 25$ $11$ $20$ $220$

$25 - 35$ $21$ $30$ $630$

$35 - 45$ $23$ $40$ $920$

$21$ $14$ $50$ $700$

$55 - 65$ $5$ $60$ $300$

Sum $80$ $2830$

So, sum of $f_{i} x_{i}$ is $\sum f_{i} x_{i} = 2830$

So, the mean $\bar{X}$ of the given data will be:

$\bar{X} = \frac{\sum f_{i} x_{i}}{x_{i}} = \frac{2830}{80} = 35.37$

Hence, the mean of the given data is $35.37$ .

From this data we can conclude that:

The more number of patients are from age group $35 - 45$ .

The less number of patients are from age group $55 - 65$ .

Children patients of age between $5 - 15$ are $6$ .

Marks obtained	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of students	$1$	$12$	$35.37$	$32$	$10$	$5$

The following table shows the ages of the patients admitted in a hospital during a year. Find the mean

Age (in years) $5 - 15$ $15 - 25$ $25 - 35$ $35 - 45$ $45 - 55$ $55 - 65$

Number of Patients $6$ $11$ $21$ $23$ $14$ $5$

Write $3$ conclusions about this data.

Important Questions on Data Analysis

Learn and Prepare for any exam you want !

The following table shows the ages of the patients admitted in a hospital during a year. Find the mean Age (in years) 5-15 15-25 25-35 35-45 45-55 55-65 Number of Patients 6 11 21 23 14 5 Write 3 conclusions about this data.

Important Questions on Data Analysis

Learn and Prepare for any exam you want !

The following table shows the ages of the patients admitted in a hospital during a year. Find the mean

Age (in years) $5 - 15$ $15 - 25$ $25 - 35$ $35 - 45$ $45 - 55$ $55 - 65$

Number of Patients $6$ $11$ $21$ $23$ $14$ $5$

Write $3$ conclusions about this data.