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7th Grade > Mathematics

DATA HANDLING MCQs

Total Questions : 114 | Page 5 of 12 pages
Question 41. Find the difference between the mean and range of the following data set.
12,  86,  45,  78,  23,  56
  1.    24
  2.    50
  3.    0
  4.    74
 Discuss Question
Answer: Option A. -> 24
:
A
Mean=SumofallobservationsNumberofobservations
=12+86+45+78+23+566
=3006
= 50.
Range = Highest observation - Lowest observation
=86 - 12
= 74
Difference between the mean and range = 74 - 50 = 24
Question 42. 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 requireddata from the data set.
Question 43. The double bar graph given below gives the number of men and women visiting a sports complex during last week. Can you spot the day when the number of men was equal to the number of women?
The Double Bar Graph Given Below Gives The Number Of Men And...
  1.    Thursday
  2.    Friday  
  3.    Sunday
  4.    Monday
 Discuss Question
Answer: Option A. -> Thursday
:
A
The Double Bar Graph Given Below Gives The Number Of Men And...
The heights of the bars that are drawn side by side in the above double bar graph, correspondto the number of men and the number of women who visit the sports complex on each day of the week.
The heights of both the barsare equal on Thursday. So, on Thursday,the numbers of men and women who visited the complex areequal.
Question 44. What is the range for the following data set?
50        50        50        50        50    
___
 Discuss Question

:
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 aresame. So, therange is 50 - 50 = 0.
Question 45. 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 46. Find the mode of the following data set.
1          2          6          9          5          9          4          18        14        2          8          11        7
  1.    2
  2.    4
  3.    2 and 9
  4.    18
 Discuss Question
Answer: Option C. -> 2 and 9
:
C
Mode is the observation that occurs the most number of times. Here,2 and 9 bothoccur two times. Therefore, they both are modes of the data.
Question 47. 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 48. The mode of the data set given below is 13. Find the missing observation.
5          ?          6          34        13        1          9          13        9         19        45
  1.    9
  2.    13
  3.    6
  4.    34
 Discuss Question
Answer: Option B. -> 13
:
B
1 occurs once
5 occurs once
6 occurs once
9 occurs twice
13occurs twice
19 occurs once
34 occurs once
45 occurs once
We know that t
he mode of a set of observations is theobservationthat occurs most often.
Since 9 and 13 both occur twice, they both have the possibility of beingmodes.
But,the mode of the dataset is given to be 13, whichmeans that 13 has to occurmore number of times than 9.
So, the missing number is 13.
Question 49. 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, thedata sets which will help us take abetter decision are height and stamina of the players
Question 50. 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 12that is equal for both the cases.

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