Question

The COVID-19 pandemic, also known as coronavirus pandemic, is an ongoing pandemic of coronavirus disease caused by the transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among humans.

The following tables shows the age distribution of case admitted during a day in two different hospitals

Refer to table 1

1. The average age for which maximum cases occurred is

a) 32.24

b) 34.36

c) 36.82

d) 42.24

2. The upper limit of modal class is

a) 15

b) 25

c) 35

d) 45

3. The mean of the given data is

a) 26.2

b) 32.4

c) 33.5

d) 35.4

Refer to table 2

4. The mode of the given data is

a) 41.4

b) 48.2

c) 55.3

d) 64.6

5. The median of the given data is

a) 32.7

b) 40.2

c) 42.3

d) 48.6

Answer 1

1. c) 36.82

Modal class = Interval with highest frequency

= 35 - 45

where l = lower limit of modal class = 35

h class-interval = 15 - 5=10

f₁ frequency of the modal class = 23

f₀ frequency of class before modal class = 21

f₂ frequency of class after modal class = 14

Putting values in formula

2. d) 45

Modal class is class with highest frequency

Since 35-45 has highest frequency 23

∴ It is the modal class

And Upper limit of Modal Class = 45

3. d) 35.4

4. a) 41.4

Modal class = Interval with highest frequency

= 35 - 45

where l = lower limit of modal class = 35

h = class-interval = 15 - 5= 10

f₁ = frequency of the modal class = 42

f₀ = frequency of class before modal class = 10

f₂ = frequency of class after modal class = 24

Putting values in formula

5. b) 40.2

And,

1 = lower limit of median class = 35

h = class-interval = 15 - 5 = 10

cf = cumulative frequency of the class before median class = 34

f = frequency of the median class = 42

Putting values in formula

Answer 2

1. c) 36.82

2. d) 45

3. d) 35.4

4. a) 41.4

5. b) 40.2