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, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2,4,3,2, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution, taking classes 0-2,2-4, etc.

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Solution

Sol:

Minimum observation is 0 and maximum observation is 6. The classes of equal size covering the given data are: (0 – 2), (2 – 4), (4 – 6) and (6 – 8).

Thus, the frequency distribution may be given as under:

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115

Similar questions

Q. 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, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.

Question 91

Following are the numbers of members in 25 families of a village :6, 8, 7, 7, 6, 5, 3, 2, 5, 6, 8, 7, 7, 4, 3, 6, 6, 6, 7, 5, 4, 3, 3, 2, 5 Prepare a frequency distribution table for the data using class intervals 0-2, 2-4 etc.

Q. The following data show the average daily consumption of milk in litres of 50 families in a colony.
2.0, 1.6, 0.8, 2.0, 1.6, 1.4, 1.4, 1.0, 0.6, 1.5, 3.5, 1.2, 0.5, 2.2, 1.6, 2.0, 1.6, 1.0, 1.8, 2.2, 3.0, 2.5, 3.2, 1.8, 2.0, 1.2, 2.4, 1.0, 1.6, 0.8, 3.0, 0.2, 1.5, 0.5, 2.0, 0.8, 1.0, 1.2, 1.5, 0.6, 1.0, 0.6, 1.2, 0.4, 2.0, 1.2, 0.8, 1.5.

Prepare a frequency distribution table with classes 0, 0

-

0.5, 0.5

-

1.0, ....and draw a histogram
.

The marks obtained by 25 students in a class are as follows

22, 28, 30, 32, 35, 37, 40, 41, 43, 44, 45, 45, 48, 49, 52, 53, 54, 56, 56, 58, 60, 62, 65, 68, 69

(i) Arrange the above data on frequency distribution taking class interval.

20-29, 30-39, 40-49, 50-59, 60-69

(ii) Form the cumulative frequency distribution.

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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, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2,4,3,2, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2. Represent it in the form of a frequency distribution, taking classes 0-2,2-4, etc.

Sol: Minimum observation is 0 and maximum observation is 6. The classes of equal size covering the given data are: (0 – 2), (2 – 4), (4 – 6) and (6 – 8). Thus, the frequency distribution may be given as under:

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, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2,4,3,2, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution, taking classes 0-2,2-4, etc.

Sol:

Minimum observation is 0 and maximum observation is 6. The classes of equal size covering the given data are: (0 – 2), (2 – 4), (4 – 6) and (6 – 8).

Thus, the frequency distribution may be given as under: