Question

The following table shows the ages of the patients admitted in a hospital during a year:
1.
Age (in years)
5-15
15-25
25-35
35-45
45-55
55-65
Number of patients
6
11
21
23
14
5.
Find the mode and the mean of the data given above. Compare and interpret the two
measures of central tendency.​

Answer 1

Answer:

Mode: The class which have highest frequency.

In this case, class interval 35−45 is the modal class.

Now,

Lower limit of modal class, l=35,h=10,f1,=23,f0=21,f2=14

We know that,

Mode =l+(2f1−f0−f2f1−f0)×h

=35+(2(23)−21−1423−21)×10

=35+112×10

=35+1.818

Mode =36.8

Lets take assumed mean, A as 30

Class interval =10

∴ui=hxi−A=10xi−30

xˉ=A+h∑fi∑fiui=30+10×8043

=30+5.375

=35.375

≈35.37

Hence, Mode =36.8 years, Mean =

=35.37 years.

Maximum number of patients admitted in the hospital are of age group 36.8 years, while on an average the age of a patient admitted to the hospital is 35.37 years.

Step-by-step explanation: