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Assertion and Reason Questions – Data Handling
1) Assertion: The mean of the numbers 10,20, 30 and 40 is 25.
Reason: Mean = 10+20+30+40/4 = 100/4 = 25.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2) Assertion: The middle most observation of a data series is called the median of the series.
Reason: medians divides the total frequency into 2 equal parts.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
3) Assertion: Mean is Sum of all observations divided by Number of observations.
Reason: Mean = (12 + 34 + 45 + 50 + 24)/5 = 165/5 = 33.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
4) Assertion: The difference between the highest and the lowest observations in a given data is called its Range.
Reason: Range = Higest Observation – Lowest Observation
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
5) Assertion: When a given data is arranged in ascending (or descending) order, then the middlemost observation is called the median of the data
Reason: Marks scored by seven students in a class are 18, 21, 21, 32, 36, 50, 93. Then the median is 32.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
6) Assertion: The mode of a set of observations is the observation that occurs most often.
Reason: Given set of number 1, 1, 2, 2, 2, 2, 3, 4, 4
Mode of this data is 2 because it occurs more frequently.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
7) Assertion: Mean=Sum of all observations / Number of observations.
Reason: Given set of numbers: 21 , 30 ,10 , 4 , 15 .Then Mean = 21+30+10+4+15/5 = 80/5 = 14.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
8) Assertion: The range of the weights (in kg) of a students of a class given below is:
49, 60, 47, 50, 47, 59, 58, 45, 53 is 15.
Reason: Range = Highest observation – lowest observation = 60 – 45 = 15.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
9) Assertion: Range = Highest observation – lowest observation .
Reason: The marks of 11 students of a class are as given below:
78, 11, 99, 63, 94, 6, 78, 36, 30, 55, 22
The range of marks is 90
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c) assertion is true but the reason is false.
10) Assertion: The mode of the distribution 3,5, 7, 4, 2, 1, 4, 3, 4 is 4.
Reason:he mode of a set of observations is the observation that occurs most often.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a)Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
11) Assertion: The median of the distribution 2, 3, 4, 7, 5, 1, 6 is 4
Reason: The middle most observation of a data series is called the median of the series.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a)Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
12) Assertion: The mode is always one of the numbers in a data
Reason: mode in data is always greater than mean in data.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
13) Assertion: The mean is always one of the numbers in a data
Reason: mean is always less than mode in data.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.
14) Assertion: In an experiment the sum of the probabilities of all the events is always 1.
Reason: A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a)Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
15) Assertion: The median of the data series is the middle term or the mean of the two middle terms.
Reason: Median divides divides the total frequency into two equal parts.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
16) Assertion: the Probability of an even always lies between 0 and 1.
Reason: 0 ≤ P(E) ≤ 1 is correct.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
17) Assertion: Mode is the term which appears maximum number of times.
Reason: Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is 3.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
18) Assertion: The marks of 20 students in a test were as follows: 5,6,8,9,10,11,11,12,13,13,14,14,15,15,15,16,16,18,19,20.The mean is 13.
Reason: Mean = sum of marks/ number of students = 260/20 =13.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
19) Assertion: Mean = sum of numbers/ No. Of numbers.
Reason: The mean of 41,39,48,52,46,62,54,40,96,52,98,49,42,52,60 is 50.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
20) Assertion: The arithmetic mean of integers from -5 to 5 is 0.
Reason: Integers from −5 to +5 are =−5,−4,−3,−2,−1,0,1,2,3,4,5 sum of all these integers =0. so mean =0
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
21) Assertion: The mean of first six natural numbers is 3.5.
Reason: The first 6 natural numbers are 1,2,3,4,5,6. Mean = sum of numbers/ no. Of numbers= 21/6 = 3.5 .
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
22) Assertion: Mean is the value which is the representative of the whole group.
Reason: Mean of 43,51,50,57,54 is 51.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
23) Assertion: Mode is the most frequent value.
Reason: The value which occurs the maximum number of times in the dataset or which has the highest frequency is the mode of the dataset.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
24) Assertion: Average of 0.3, 0.03, 0.003 is 0.111
Reason: Average= 0.3+0.03+0.003/3 = 0.333/ 3 = 0.111.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
25) Assertion: The average of five odd numbers between18 & 28 is 23.
Reason: Given odd numbers between 18 and 28 are 19,21,23,25,27
Average = 19+21+23+25+27/5 = 115/5 = 23.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
26) Assertion: The mean of the factors of 24 is 15/2.
Reason: The factor of 24 are 1,2,3,4,6,8,12,24. Mean = 1+2+3+4+6+8+12+24/8 = 60/8 = 15/2.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
27) Assertion: In a bar chart width of rectangle is fixed.
Reason: Bar graph represents the data in the form of vertical bars.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
28) Assertion: The median of a set of data is the middlemost number in the set.
Reason: If I < m < n then the median of the list i, m, n is n.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: c.) assertion is true but the reason is false.
29) Assertion: The mode is the number that is repeated more often than any other.
Reason: In a group of data: 11,12,12,13,14,12,15,16,12,11
12 is the mode.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
30) Assertion: Mode is a simple and popular average.
Reason: Mode is the possible value of the distribution.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
31) Assertion: Median describes the centre of a set of data.
Reason: median of the data 46,64,87, 41,58,77,35,90,55,33,92 is 58.
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
32) Assertion: mean is one of the numbers in data.
Reason: The data 6,4,3,8,9,12,13,9 has mean 9 .
a.) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
b.) Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
c.) assertion is true but the reason is false.
d.) both assertion and reason are false.
Ans: d.) both assertion and reason are false.
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