Question

the following number of goals were scored by a team in a series of 10matches. 2,3,4,5,0,1,3,3,4,3​

Answer 1

Answer:

28 goals were scored by team in a series

Answer 2

$\huge\fcolorbox{cyan}{black}{\color{red}{✞AnSwéR࿐}}$

REQUIRED MEAN, MEDIAN AND MODE ARE 4, 3 & 3 RESPECTIVELY

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$\huge{\fbox{\fbox{\color{lime}{Finding Mean}}}}$

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$\underline{\bf{\dag} \:\mathfrak{\color{red}{As\;we\;know\: that\: :}}}$

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$\star\:\boxed{\sf{\pink{Mean = \bigg(\dfrac{Sum\; of\; all \; observation}{Total \; number\; of \; observation}\bigg)}}}$

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$\begin{gathered}:\implies\sf Mean = \bigg(\dfrac{2 + 7 + 0 + 3 + 5 + 0 + 9 + 3 + 8 + 3}{10} \bigg) \\\\\\:\implies\sf Mean = \cancel\dfrac{40}{10} \\\\\\:\implies{\underline{\boxed{\frak{\pink{Mean = 4 \: goals}}}}}\;\bigstar\end{gathered}$

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$\therefore{\underline{\sf{\color{red}{Required\; mean \; is \; \bf{4}.}}}}$

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$\huge{\fbox{\fbox{\color{lime}{Finding Median}}}}$

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Scores = 0, 0, 2, 3, 3, 3, 5, 7, 8, 9 (in increasing order)

Number of observation, n = 10.

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Therefore,

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$\star\;\boxed{\sf{\purple{Median = \dfrac{\bigg(\dfrac{n}{2}\bigg)^{th}\; observation \: + \; \bigg(\dfrac{n}{2} + 1 \bigg)^{th} \; observation}{2}}}}$

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Therefore,

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$\begin{gathered}:\implies\sf Median = \dfrac{\bigg(\dfrac{10}{2} \bigg)^{th} \: observation \; + \; \bigg(\dfrac{10}{2} + 1 \bigg)^{th}\; observation}{2} \\\\:\implies\sf Median = \bigg(\dfrac{5^{th} \; observation + 6^{th} \; observation}{2} \bigg) \\\\:\implies\sf Median = \bigg(\dfrac{3 + 3}{2}\bigg) \\\\:\implies\sf Median = \bigg(\dfrac{6}{2} \bigg) \\\\\\:\implies{\underline{\boxed{\frak{\purple{ Median = 3}}}}}\;\bigstar\end{gathered}$

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$\therefore{\underline{\sf{\color{red}{Required\; median \; is \: \bf{3 }.}}}}$

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$\huge{\fbox{\fbox{\color{lime}{Finding Mode}}}}$

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$\underline{\bf{\dag} \:\mathfrak{\color{red}{As\;we\;know\: that\: :}}}$

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Mode is the most appearing value.⠀

Therefore, 3 is the most appearing value in the given observation. ⠀

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$\therefore{\underline{\sf{\color{red}{Required\; mode \;is\; \bf{3 }.}}}}$

$\huge\underline{\overline{\mid{\bold{\mathbb{\red{DIVINESWAG}\mid}}}}}$