Question 1 - Case Based Questions (MCQ) - Chapter 14 Class 10 Statistics (Term 2)

Last updated at Nov. 10, 2021 by Teachoo

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

Question 1

The average age for which maximum cases occurred is
(a) 32.24
(b) 34.36
(c) 36.82
(d) 42.24

Question 2

The upper limit of modal class is
(a) 15
(b) 25
(c) 35
(d) 45

Question 3

The mean of the given data is
(a) 26.2
(b) 32.4
(c) 33.5
(d) 35.4

Refer to table 2

Question 4

The mode of the given data is
(a) 41.4
(b) 48.2
(c) 55.3
(d) 64.6

Question 5

The median of the given data is
(a) 32.7
(b) 40.2
(c) 42.3
(d) 48.6

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 hospitalsRefer to Table 1
Question 1 The average age for which maximum cases occurred is (a) 32.24 (b) 34.36 (c) 36.82 (d) 42.24(c) 36.82
Now,
When we want to find average age, we find mean
But, when we need to find average age of maximum cases, we need to find mode
Finding Mode
Mode = l + (๐๐ โ ๐๐)/(๐๐๐ โ ๐๐ โ ๐๐) ร h
Modal class = Interval with highest frequency
= 35 โ 45
where l = lower limit of modal class
h = class-interval
f1 = frequency of the modal class
f0 = frequency of class before modal class
f2 = frequency of class after modal class
Putting values in formula
Mode = l + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) ร h
= 35 + (๐๐ โ๐๐)/(๐(๐๐) โ ๐๐ โ ๐๐) ร 10
= 35 + 2/(46 โ 35) ร 10
= 35 + 2/11 ร 10
= 35 + 1.818
= 36.818
โ 36.82
So, the correct answer is (c)
Question 2 The upper limit of modal class is (a) 15 (b) 25 (c) 35 (d) 45(d) 45
Modal class is class with highest frequency
Since 35 โ 45 has highest frequency 23
โด It is the modal class
And Upper limit of Modal Class = 45
So, the correct answer is (d)
Question 3 The mean of the given data is (a) 26.2 (b) 32.4 (c) 33.5 (d) 35.4(d) 35.4
Mean(๐ฅ ฬ ) = (โโ๐๐๐๐)/(โโ๐๐)
= 2830/80
= 35.375
= 35.4
So, the correct answer is (d)
Refer to table 2 Question 4 The mode of the given data is (a) 41.4 (b) 48.2 (c) 55.3 (d) 64.6(a) 41.4
Mode = l + (๐๐ โ ๐๐)/(๐๐๐ โ ๐๐ โ ๐๐) ร h
Modal class = Interval with highest frequency
= 35 โ 45
where l = lower limit of modal class
h = class-interval
f1 = frequency of the modal class
f0 = frequency of class before modal class
f2 = frequency of class after modal class
Putting values in formula
Mode = l + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) ร h
= 35 + (๐๐ โ ๐๐)/(๐(๐๐) โ๐๐ โ๐๐) ร 10
= 35 + 32/(84 โ34) ร 10
= 35 + 32/50 ร 10
= 35 + 32/5
= 35 + 6.4
= 41.4
Question 5 The median of the given data is (a) 32.7 (b) 40.2 (c) 42.3 (d) 48.6(b) 40.2
Median = l + (๐ต/๐ โ๐๐)/๐ ร h
Here,
๐ต/๐
โด 35 โ 45 is the median class
And,
l = lower limit of median class
h = class-interval
cf = cumulative frequency of the class before median class
f = frequency of the median class
Putting values in formula
Median = l + (๐/2 โ๐๐)/๐ ร h
= 35 + (๐๐ โ๐๐)/๐๐ ร 10
= 35 + 22/42 ร 10
= 35 + 110/21
= 35 + 5.23
= 40.23
So, the correct answer is (b)

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.