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Standard VIII

Mathematics

Representing Data Using Tally Marks

The following...

Question

The following are the marks scored in a unit test (out of 25). Prepare a frequency distribution table, taking the class intervals as 0-4, 5-9, 10-14, 15-19, 20-24:

21, 14, 3, 7, 23, 18, 24, 16, 18, 17, 20, 10, 17, 18, 21, 23, 19, 12, 14, 9, 16, 18, 12, 14, 11.

From the table (i) find the mid-points of each class interval; (ii) find the class interval having maximum frequency; (iii) find the range of the scores.

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Solution

The frequency distribution table below represents the given marks.

(i) The mid-point of each class interval is calculated below.

(ii) The class interval having maximum frequency is 15−19.

(iii) The range of the marks is 24 − 3 = 21.

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Similar questions

Prepare a frequency distribution table for the scores given:

42, 22, 55, 18, 50, 10, 33, 29, 17, 29, 29, 27, 34, 15, 40, 42, 40, 41, 35, 27,

44, 31, 38, 19, 54, 55, 38, 19, 20, 30, 42, 59, 15, 19, 27, 23, 40, 32, 28, 51.

Take the class intervals as 10-20, 20-30, 30-40, 40-50, 50-60.

From the frequency distribution table answer the following questions:

(i) What does the frequency corresponding to the class interval 20-30 indicate?

(ii) In which class intervals are the scores 10, 20 and 30 included?

(iii) Find the range of the scores.

Prepare the frequency distribution table for the given set of scores:

39, 16, 30, 37, 53, 15, 16, 60, 58, 26, 28, 19, 20, 12, 14, 24, 59,

21, 57, 38, 25, 36, 34, 15, 25, 41, 52, 45, 60, 63, 18, 26, 43, 36, 18,

27, 59, 63, 46, 48, 25, 33, 46, 27, 46, 42, 48, 35, 64, 24.

Take class intervals as (10 -20), (20 − 30), … and answer the following:

(i) What does the frequency corresponding to the third class interval mean?

(ii) What is the size of each class interval? Find the midpoint of the class interval 30- 40.

(iii) What is the range of the given set of scores?

The marks scored by 40 candidates in an examination (out of 100) is given below:

75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61,

42, 46, 68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45,

51, 47, 41, 43.

Prepare a frequency distribution table with the class size 10. Take the class intervals as (30 - 39), (40 - 49), … and answer the following question:

(a) Which class intervals have highest and lowest frequency?

(b) Write the upper and lower limits of the class interval 30-39.

The marks scored by

40

candidates in an examination (out of

100

) is given below:

75, 65, 57, 50, 32, 54, 75, 67, 75, 88, 80, 42, 40, 41, 34, 78, 43, 61, 42, 46

68, 52, 43, 49, 59, 49, 67, 34, 33, 87, 97, 47, 46, 54, 48, 45, 51, 47, 41, 43

Prepare a frequency distribution table with the class size

10

. Take the class intervals as

(30 - 39), (40 - 49), . . .

and answer the following questions:

(i) Which class intervals have the highest and lowest frequency?

(ii) Write the upper and lower limits of the class interval

30 - 39

Q. The heights of

25

children in centimetre are given below:

174, 168, 110, 142, 156, 119, 110, 101, 190, 102, 190, 111, 172, 140,

136, 174, 128, 124, 136, 147, 168, 192, 101, 129, 114

.
Prepare a frequency distribution table, taking the size of the class interval
as

20

, and answer the following:
(i) Mention the class intervals of highest and lowest frequency.
(ii) What does the frequency

6

corresponding to class interval

(160 - 180)

indicate?
(iii) Find out the class mark (or midpoint) of

(140 - 160)

.
(iv) What is the range of heights?

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The frequency distribution table below represents the given marks. (i) The mid-point of each class interval is calculated below. (ii) The class interval having maximum frequency is 15−19. (iii) The range of the marks is 24 − 3 = 21.

The frequency distribution table below represents the given marks.

(i) The mid-point of each class interval is calculated below.

(ii) The class interval having maximum frequency is 15−19.

(iii) The range of the marks is 24 − 3 = 21.