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7th Grade > Mathematics

DATA HANDLING MCQs

Total Questions : 114 | Page 11 of 12 pages
Question 101.


The following bar graph gives the marks scored by 3 students, Shubh, Aman and Anurag out of 100. Whose average score is highest in all the 3 subjects?


The Following Bar Graph Gives The Marks Scored By 3 Students...


  1.     Shubh
  2.     Aman
  3.     Anurag 
  4.     All of them will have have same average.  
 Discuss Question
Answer: Option D. -> All of them will have have same average.  
:
D

This is the observation from the bar graph.


 The Following Bar Graph Gives The Marks Scored By 3 Students...


Shubh’s total = 85+75+95 = 255


Aman’s total = 85 + 95 + 75 = 255


Anurag’s total = 90 + 80 + 85 = 255


Since total marks are same for all the three, average will be same too. So, there is nobody with the highest average.


Question 102.


What is the range for the following data set?


50        50        50        50        50    


___
 Discuss Question
Answer: Option D. -> All of them will have have same average.  
:

Range is the difference between the observation having the maximum value and the observation having the minimum value.


In the above case, all the observations are same. So, the range is 50 - 50 = 0.


Question 103.


In order to analyse and interpret a data set, we should _________ it first.


  1.     organise
  2.     remove
  3.     find
  4.     visualize
 Discuss Question
Answer: Option A. -> organise
:
A

Organised data is easier to analyse and interpret. In data handling, the data is arranged either in ascending or descending order to easily find out the required data from the data set.


Question 104.


If you toss a fair coin 100 times, will you always get Head more number of times than you will get Tail?


  1.     True
  2.     False
  3.     find
  4.     visualize
 Discuss Question
Answer: Option B. -> False
:
B

The probability of getting head and tail is same i.e. 12 . But we can't be sure anyway that we will get head for a certain number of times and tail for a certain number of times.


Question 105.


If you toss a 5 rupees coin in the air, which of the outcomes has high probability of occuring?


  1.     Head
  2.     Tail
  3.     Head and tail have equal probability.  
  4.     Coin will land on its edge every time  
 Discuss Question
Answer: Option C. -> Head and tail have equal probability.  
:
C

The probability of getting a head or a tail while tossing a coin is 12 that is equal for both the cases.


Question 106.


Which of the following data sets are organised?


Data set 1571218252834677898Data set 2101967669564944352311Data set 328546532111325433
  1.     Sets 1 and 2  
  2.     Sets 2 and 3 
  3.     Sets 1 and 3 
  4.     None of the above
 Discuss Question
Answer: Option A. -> Sets 1 and 2  
:
A

Data set 1 is in ascending order, whereas data set 2 is in descending order. So, both of them are organized. But we can see that data set 3 is random. Hence, it is an unorganised data set.


Question 107.


You have to select the players for your football team. Which of the following given data sets will help you to take the decision?


Data set 1. Name of the players


Data set 2. Height of the players


Data set 3. Stamina of players


Data set 4. Nationality of the players


  1.     1 & 2    
  2.     2 & 3  
  3.     1, 3 & 4   
  4.     All the data sets 
 Discuss Question
Answer: Option B. -> 2 & 3  
:
B

The performance of a football player doesn't depend on his name or nationality. Performance solely depends on  stamina and height. So, the data sets which will help us take a better decision are height and stamina of the players


Question 108.


You have to buy a pair of running shoes. You have 3 brands: Ruma, Peebok and Abibas. You go online and search for reviews of different brands. There you saw that on the basis of stars, brands are rated. More stars imply better rating. Which brand has the highest average rating?


You Have To Buy A Pair Of Running Shoes. You Have 3 Brands: ...


  1.     Ruma  
  2.     Peebok 
  3.     Abibas
  4.     Both Abibas and Ruma have the same rating.  
 Discuss Question
Answer: Option C. -> Abibas
:
C

Average star rating = Total number of stars given by peopleTotal number of people who gave the rating.


For Ruma,average star rating = 180×5+104×4+95×3+12×2+11×1180+104+95+12+11 = 4.07


For Peebok,average star rating = 150×5+110×4+87×3+22×2+23×1150+110+87+22+23 = 3.87


For Abibas,average star rating = 234×5+98×4+88×3+16×2+18×1234+98+88+16+18 = 4.13
4.13 > 4.07 > 3.87


So, Abibas has the highest rating.


Question 109.


Find the median of following data set.
12, 6, 87, 9, 54, 23, 43, 19, 56, 34, 69, 74 


  1.     38.5
  2.     39.5
  3.     34 and 43
  4.     40.5 
 Discuss Question
Answer: Option A. -> 38.5
:
A

When you arrange the data in ascending order, you get:


 6          9          12        19        23        34        43        54        56        69        74        87


If number of observations is odd then median is the  (n2)th term


If it is even then median is the mean of the  (n2)th and (n2)+1) th term.


Here the number of observations is 12 - even,


Therefore, the median will be an average of 6th and 7th observation.


 So, Median = 34 + 432 = 772 = 38.5.


Question 110.


The bar graph  shown below gives the number of goals scored by a football player AJU. Find the difference between the range and mean of the goals scored by AJU in these 5 matches.


The Bar Graph  Shown Below Gives The Number Of Goals Scored...


  1.     1.6
  2.     0.6
  3.     2.4  
  4.     3.0 
 Discuss Question
Answer: Option B. -> 0.6
:
B

Mean=Sum of all observationsTotal number of observations​​
Mean = 2+4+3+1+25 = 125 = 2.4
Range = highest observation - lowest observation


Range = 4  1 = 3


Difference between range and mean
             =32.4=0.6


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