Question

The final marks in mathematics of 30 students are as follows:
53, 61, 48, 60, 78, 68, 55, 100, 67, 90
75, 88, 77, 37, 84, 58, 60, 48, 62, 56
44, 58, 52, 64, 98, 59, 70, 39, 50, 60
(i) Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group, etc.
Now answer the following:
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) What is the range?
(v) If 40 is the pass mark how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(vii) How many have scored less than 50?

Answer 1

Answer:

(1)37,39 one group,44,48,48 second group

(2)100

(3)37

(5)2 are failed

(6)8 students

(7)5 students

Answer 2

Given : The final marks in mathematics of 30 students are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90

75, 88, 77, 37, 84, 58, 60, 48, 62, 56

44, 58, 52, 64, 98, 59, 70, 39, 50, 60

 

 

SOLUTION :

(i) The  marks in the ascending order, 30 to 39 one group, 40 to 49 second group, etc are as follows :

1. (30 - 39) →  37, 39
2. (40 – 49) → 44, 48, 48
3. (50 – 59)→ 50, 52, 53, 55, 56, 58, 58, 59
4. (60 – 69) → 60, 60, 60, 61, 62, 64, 67, 68
5. (70 – 79)→ 70, 75, 77, 78
6. (80 – 89)→ 84, 88
7. (90 – 99)→ 90, 98
8. (100-109) → 100

 

(ii) The highest score is 100.

 

(iii) The lowest score is 37.

 

(iv) Range = Maximum observation – Minimum observation.

= 100 – 37

= 63

Hence , the  range is 63.

 

(v) If 40 is the pass mark, then only 2 students have failed.

 

(vi) 8 students have scored 75 or more.

 

(vii) 51, 54 and 57 observations between 50 and 60 have not actually appeared.

 

(viii) 5 students scored less than 50.

HOPE THIS ANSWER WILL HELP YOU…

 

Some more questions :  

Following data gives the number of children in 40 families:

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 2, 1, 6, 2, 2.

Represent it in the form of a frequency distribution.

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