The following table shows the ages of the patients admitted in a hospital during a year :
Age (in years) Number of Patients
5-15 - 6
15-25 - 11
25-35 -21
35-45 - 23
45-55 - 14
55-65 - 5
Answers
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,f
1
,=23,f
0
=21,f
2
=14
We know that,
Mode =l+(
2f
1
−f
0
−f
2
f
1
−f
0
)×h
=35+(
2(23)−21−14
23−21
)×10
=35+
11
2
×10
=35+1.818
Mode =36.8
Lets take assumed mean, A as 30
Class interval =10
∴u
i
=
h
x
i
−A
=
10
x
i
−30
x
ˉ
=A+h
∑f
i
∑f
i
u
i
=30+10×
80
43
=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: