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.

8.05

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Solution

The correct option is A 8.05
$\begin{matrix} C.I & Frequency & C.F 1 - 4 & 6 & 6 4 - 7 & 30 & 36 7 - 10 & 40 & 76 10 - 13 & 16 & 92 13 - 16 & 4 & 96 16 - 19 & 4 & 100 \end{matrix}$

Here $n = 100$ & $\frac{n}{2} = 50$ hence median class = 7-10

Now, We see the 50th Observation on the graph by extending it to the ogive.

The value for median seen from the Graph is 8.05.

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100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabet in the surnames was obtained as follows:
$\begin{matrix} N u m b e r o f l e t t e r s & 1 - 4 & 4 - 7 & 7 - 10 & 10 - 13 & 13 - 16 & 16 - 19 N u m b e r o f s u r n a m e s & 6 & 30 & 40 & 16 & 4 & 4 \end{matrix}$

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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.

$\begin{matrix} Number of letters & 1 - 4 & 4 - 7 & 7 - 10 & 10 - 13 & 13 - 16 & 16 - 19 Number of surnames & 6 & 30 & 40 & 16 & 4 & 4 \end{matrix}$
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100 surnames were randomly picked from a local directory and the distribution of a number of letters of the English alphabet in the surname was obtained as follows:

Determine the median and mean a number of letters in the surname. Also, find the modal size of surnames

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:

$\begin{matrix} N u m b e r o f l e t t e r s & N u m b e r o f s u r n a m e s 1 - 4 & 6 4 - 7 & 30 7 - 10 & 40 10 - 13 & 16 13 - 16 & 4 16 - 19 & 4 \end{matrix}$

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. [4 MARKS]

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The correct option is A 8.05C.IFrequencyC.F1−4664−730367−10407610−13169213−1649616−194100 Here n=100 & n2=50 hence median class = 7-10 Now, We see the 50th Observation on the graph by extending it to the ogive. The value for median seen from the Graph is 8.05.