100 surnames were randomly picked up from a local telephone directory. A frequency distribution of the number of letters in the English alphabets in the surnames was found as follows.

Name of letters Number of surnames

2 $-$ 4
4 $-$ 6
6 $-$ 8
8 $-$ 10
10 $-$ 12
12 $-$ 14 9
22
38
19
8
4

Draw a frequency polygon.

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Solution

The frequency polygon is given below:

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Question 9 (i)
100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:
$\begin{matrix} Number of letters & Number of surnames 1 - 4 & 6 4 - 6 & 30 6 - 8 & 44 8 - 12 & 16 12 - 20 & 4 \end{matrix}$
(i) Draw a histogram to depict the given information.

Question 9 (ii)
100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

$\begin{matrix} Number of letters & Number of surnames 1 - 4 & 6 4 - 6 & 30 6 - 8 & 44 8 - 12 & 16 12 - 20 & 4 \end{matrix}$
(ii) Write the class interval in which the maximum number of surname lie.

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters

Number of surnames

1 − 4

4 − 6

6 − 8

8 − 12

12 − 20

(i) Draw a histogram to depict the given information.

(ii) Write the class interval in which the maximum number of surname lie.

100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Number of letters	1 − 4	4 − 7	7 − 10	10 − 13	13 − 16	16 − 19
Number of surnames	6	30	40	6	4	4

Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.

100 surnames were randomly picked up from a local telephone directory & the frequency distribution of the number of letters in the English alphabets in the surname was obtained as follows.

$\begin{matrix} Number of letters & 1 - 4 & 4 - 7 & 7 - 10 & 10 - 13 & 13 - 16 & 16 - 19 Number of surnames & 6 & 30 & 40 & 16 & 4 & 4 \end{matrix}$
Determine the median number of letters in the surnames.

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Name of letters	Number of surnames
2 $-$ 4 4 $-$ 6 6 $-$ 8 8 $-$ 10 10 $-$ 12 12 $-$ 14	9 22 38 19 8 4

100 surnames were randomly picked up from a local telephone directory. A frequency distribution of the number of letters in the English alphabets in the surnames was found as follows. Name of letters Number of surnames 2-4 4-6 6-8 8-10 10-12 12-14 9 22 38 19 8 4 Draw a frequency polygon.

The frequency polygon is given below: