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Arithmetic Mean and Range

The final mar...

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The final marks obtained in Mathematics by $40$ students are as follows: $60, 56, 90, 50, 62, 67, 100, 48, 39, 70, 60, 55, 68, 58, 59, 98, 84, 78, 60, 37, 64, 52, 77, 48, 61, 88, 58, 44, 75, 53, 62, 75, 82, 61, 19, 49, 39, 68, 50, 52 .$
What is the lowest score $?$

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Solution

As we can see in the given data that, $19$ is the lowest score.

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Q. The marks obtained by 25 students in a science test are given below. (Marks out of 30)

\begin{matrix} 8 & 7 & 12 & 17 & 20 & 11 & 10 & 10 & 16 \\ 21 & 28 & 25 & 13 & 9 & 27 & 18 & 20 & 19 \\ 7 & 29 & 16 & 15 & 20 & 22 & 27 \end{matrix}

Using this data, answer the following questions:

(1) What is the lowest score obtained?
(2) How many students have obtained this lowest score?
(3) How many students have obtained 20 marks?
(4) What is the frequency of the score 27?
(5) How many students have scored more than 20 marks?

Q. 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.
(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?
(viii) How many have scored less than 50?

Q. 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?

(viii) How many have scored less than 50?

Q. The final marks in mathematics of

30

student are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 64, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98,

59, 70, 39, 50, 60

(i) Arrange these marks in the ascending order

30

39

40

49

second group and so on.
Now answer the following:
What is the lowest score?

Q. The marks scored by

11

students in Mathematics test are as follows:

34, 37, 30, 38, 50, 34, 34, 38, 36, 45, 31

. Find the mean

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