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Vanyuwa [196]
2 years ago
9

How many teams haven't won a super bowl A. 2 B. 12 C. None D. 3

Mathematics
1 answer:
m_a_m_a [10]2 years ago
4 0

Answer:

B. 12

12 teams have never won a Super Bowl :))))

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{\large{\textsf{\textbf{\underline{\underline{Question \: 1 :}}}}}}

\star\:{\underline{\underline{\sf{\purple{Solution:}}}}}

❍ Arrange the given data in order either in ascending order or descending order.

2, 3, 4, 7, 9, 11

❍ Number of terms in data [n] = 6 which is even.

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u>

\star  \:   \sf Median_{(when \: n  \: is  \: even)} = {\underline{\boxed{\sf{\purple{ \dfrac{    { \bigg (\dfrac{n}{2} \bigg)}^{th}term +{ \bigg( \dfrac{n}{2}  + 1 \bigg)}^{th}  term } {2} }}}}}

\\

\sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{    { \bigg (\dfrac{6}{2} \bigg)}^{th}term +{ \bigg( \dfrac{6}{2}  + 1 \bigg)}^{th}  term } {2} }

\\

\sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{     {3}^{rd}  term +{ \bigg( \dfrac{6 + 2}{2}   \bigg)}^{th}  term } {2} }

\\

\sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{     {3}^{rd}  term +{ \bigg( \cancel{ \dfrac{8}{2}}   \bigg)}^{th}  term } {2} }

\\

\sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{     {3}^{rd}  term +{ 4}^{th}  term } {2} }

• <u>Putting,</u>

3rd term as 4 and the 4th term as 7.

\longrightarrow \:   \sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{     4 + 7 } {2} }

\longrightarrow \:   \sf Median_{(when  \: n  \: is  \: even)} ={ \dfrac{     11} {2} }

\longrightarrow \:   \sf Median_{(when  \: n  \: is  \: even)} = \purple{5.5}

\\

{\large{\textsf{\textbf{\underline{\underline{Question \: 2 :}}}}}}

\star\:{\underline{\underline{\sf{\red{Solution:}}}}}

❍ Arrange the given data in order either in ascending order or descending order.

1, 2, 3, 4, 5, 6, 7

❍ Number of terms in data [n] = 7 which is odd.

<u>As</u><u> </u><u>we</u><u> </u><u>know</u><u>,</u>

\star  \:   \sf Median_{(when \: n  \: is  \: odd)} = {\underline{\boxed{\sf{\red{ { \bigg( \frac{n + 1}{2}  \bigg)}^{th}   term}}}}}

\\

\sf Median_{(when  \: n  \: is  \: odd)} = {{  \bigg(\dfrac{  7 + 1   } {2} \bigg) }}^{th} term

\\

\sf Median_{(when  \: n  \: is  \: odd)} =  { \bigg(\cancel{\dfrac{8}{2}} \bigg)}^{th}  term

\\

\sf Median_{(when  \: n  \: is  \: odd)} ={ 4}^{th}  term

<u>• Putting,</u>

4th term as 4.

\longrightarrow \:   \sf Median_{(when  \: n  \: is  \: odd)} = \red{ 4}

\\

{\large{\textsf{\textbf{\underline{\underline{Question \: 3  :}}}}}}

\star\:{\underline{\underline{\sf{\green{Solution:}}}}}

<u>The frequency distribution table for calculations of mean :</u>

\begin{gathered}\begin{array}{|c|c|c|c|c|c|c|} \hline \rm x_{i} &\rm 3&\rm 1&\rm 7&\rm 4&\rm 6&\rm  2 \rm \\ \hline\rm f_{i} &\rm 4&\rm 6&\rm 2&\rm 2 & \rm 1&\rm  1 \\ \hline \rm f_{i}x_{i} &\rm 12&\rm 6&\rm 14&\rm 8&\rm 6&\rm \rm 2 \\ \hline \end{array} \\ \end{gathered}

☆ <u>C</u><u>alculating the </u>\sum f_{i}

\implies 4 + 6 + 2 + 2 + 1 + 1

\implies 16

☆ <u>C</u><u>alculating the </u>\sum f_{i}x_{i}

\implies 12 + 6 + 14 + 8 + 6 + 2

\implies 48

<u>As we know,</u>

Mean by direct method :

\:  \: \boxed{\green{{ { \overline{x} \: = \sf \dfrac{ \sum \: f_{i}x_{i}}{ \sum \: f_{i}}}}}}

here,

• \sum f_{i} = 16

• \sum f_{i}x_{i} = 48

<u>By putting </u><u>the</u><u> values we get,</u>

\sf \longrightarrow \overline{x} \: = \: \dfrac{48}{16}

\sf \longrightarrow \overline{x} \: = \green{3}

{\large{\textsf{\textbf{\underline{\underline{Note\: :}}}}}}

• Swipe to see the full answer.

\begin{gathered} {\underline{\rule{290pt}{3pt}}} \end{gathered}

4 0
2 years ago
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