Math, asked by ratanvoleti, 9 months ago

Find the mean of the following frequency distribution.
CLASS 0 -20 20 -40 40 -60 60 -80 80 - 100
FREQUENCY 17 28 32 24 19
pls answer fast

Answers

Answered by Anonymous

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

$\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6}\multicolumn{6}{|c|}{FREQUENCY\:TABLE}\\ \cline{1-6} Class-Interval & Mid-value x_{i} & Frequency f_{i} & Difference d_{i} & u_{i}=d_{i}/h & f_{i}u_{i} \\ \cline{1-6} \cline{1-6} 0-20 & 10 & 17 & -40& -2 & -34 \\ 20-40 & 30 & 28 & -20 & -1& -28\\ 40-60 & 50 & 32 & 0& 0& 0 \\ 60-80 & 70& 24 & 20 & 1 & 24 \\ 80-100 & 90 & 19 & 40& 2 & 38 \\ \cline{1-6} & &\sf\sum f_{i}=\sf{N=120} &&& \sum f_{i}u_{i}=0\\ \cline{1-6} \end{tabular}$

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The mean.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

We have;

A = 50
h = 20

We know that formula of the mean :

$\boxed{\bf{Mean=A+h\bigg[\frac{\sum f_{i}u_{i}}{N} \bigg]}}}}$

A/q

$\longrightarrow\sf{Mean=50+20\bigg[\dfrac{0}{120} \bigg]}\\\\\\\longrightarrow\sf{Mean=50+20\times \cancel{\dfrac{0}{120} }}\\\\\\\longrightarrow\sf{Mean=50+20\times 0}\\\\\\\longrightarrow\sf{Mean=50+0}\\\\\\\longrightarrow\sf{\purple{Mean=50}}$

Thus;

The mean is 50 .

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Answered by kailashmeena123rm

$\red {\huge{ \textsf{Answer}}}$

$<TABLE BORDER="10" WIDTH="100%" CELLPADDING="4" CELLSPACING="1"> <TR> <TH COLSPAN="6"> <H3>Frequancy table </H3> </TH> </TR> <TR> <TH>Class intervel</TH> <TH>mid value xi</TH> <TH>fiquency fi</TH> <TH>difference di</TH> <TH>ui = di/h</TH> <TH>fiui</TH> <TR ALIGN="CENTER"> <TD>0-20</TD> <TD>10</TD> <TD>17</TD><TD>-40</TD> <TD>-2</TD> <TD>-34</TD> </TR><TR ALIGN="CENTER"> <TD>20-40</TD> <TD>30</TD> <TD>28</TD> <TD>-20</TD><TD>-1</TD> <TD>-28</TD> </TR> <TR ALIGN="CENTER"> <TD>40-60</TD> <TD>50</TD> <TD>32</TD><TD>0</TD><TD>0</TD> <TD>0</TD> </TR> <TR ALIGN="CENTER"> <TD>60-80</TD> <TD>70</TD> <TD>24</TD><TD>20</TD> <TD>1</TD><TD>24</TD> </TR> <TR ALIGN="CENTER"> <TD>80-100</TD> <TD>90</TD> <TD>19</TD><TD>49</TD> <TD>2</TD><TD>38</TD> </TR> <TR ALIGN="CENTER"> <TD></TD> <TD></TD> <TD>sum = N = 120</TD><TD></TD> <TD>sum fiui = 0</TD> </TR> </TABLE>$