By taking classes $30 - 40, 40 - 50, 50 - 60, . . .$ , construct a frequency table for the following data:
$65, 34, 74, 49, 52, 35, 71, 55, 61, 40, 56, 38, 52, 56, 52, 33, 60, 35, 49, 37, 53, 50, 44, 30, 62, 50, 47, 45, 47, 50, 63, 61, 54, 58, 47, 64, 37, 38, 44, 42, 47, 55, 70, 33, 75, 49, 47, 30, 60, 69$
Also, construct a combined histogram and frequency polygon for the distribution.

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Solution

$C l a s s - i n t e r v a l$ $C l a s s - m a r k$ $F r e q u e n c y$
$30 - 40$ $35$ $11$
$40 - 50$ $45$ $12$
$50 - 60$ $55$ $13$
$60 - 70$ $65$ $9$
$70 - 80$ $75$ $4$
$\Rightarrow$ The above image shows combined histogram and frequency polygon.

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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.

(i n k g)

19

30 - 35, 35 - 40

39, 38, 47, 44, 42, 65, 49, 55, 49, 36, 34, 46, 31, 53, 60, 48, 33, 38, 40

Ages	24-28	28-32	32-36	36-40	40-44	44-48
No of teachers	12	10	15	9	8	6

The frequency polygon of a frequency distribution is shown below.

Answer the following about the distribution from the histogram.

(i) What is the frequency of the class interval whose class mark is 15?

(ii) What is the class interval whose class mark is 45?

(iii) Construct a frequency table for the distribution.

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