Plzzz solve it.. .,.,.

1.	Plzzz solve it.. .,.,.
Answer» QUESTION:- ⠀⠀⠀⠀⠀⠀⠀ Using short cut method, COMPUTE the mean height from the following FREQUENCY distribution: ⠀⠀⠀⠀⠀⠀⠀ $\begin{gathered}\begin{tabular}{\|c\|c\|c\|c\|c\|c\|c\|}\cline{1-7} \tt height& \tt 58 & \tt 60 & \tt 62 & \tt 65 & \tt 66 & \tt 68\\\cline{1-7}\tt no.of plant &\tt 15 & \tt 14& \tt 20&\tt 18 & \tt 8& \tt 5 \\\cline{1-7}\end{tabular}\end{gathered}$ ⠀━━━━━━━━━━━━━━━━━━━━━━━━ AnswEr:- ⠀⠀⠀⠀⠀⠀⠀ $\boxed{\begin{array}{cccc}\bf Height \: (x_i)&\bf No. \: of \: plants \: (f_i)&\bf f_ix_i\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 58&\sf 15&\sf 870 \\\\\sf 60 &\sf 14&\sf 840\\\\\sf 62 &\sf 20 &\sf 1240\\\\\sf 65&\sf 18&\sf 1170\\\\\sf 66&\sf 8&\sf 528\\\\\sf 68 &\sf 5 &\sf 340 \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\bf &\bf \sum f_i = 80 &\bf \sum f_ix_i = 4988\end{array}}$ ★ Now, Finding Mean Height, ⠀⠀⠀⠀⠀⠀⠀ $\dag\;{\underline{\frak{We\;know\;that\;:}}}\\ \\$ $\star\;{\boxed{\sf{\purple{ Mean\;(\bar{x}) = \dfrac{ f_i x_i}{f_i}}}}}\\ \\$ $:\implies\sf \dfrac{4988}{80}\\ \\$ $:\implies{\boxed{\sf{\pink{62.35}}}}\;\bigstar\\ \\$ $\therefore\;{\underline{\sf{Mean\; height\;of\;given\;data\;is\; {\textsf{\textbf{62.35}}}.}}}$ ⠀━━━━━━━━━━━━━━━━━━━━━━━━ $\qquad\quad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:Some\:formulas\:related\: to\:it\:\bigstar}}}}\\ \\$ Formula to FIND Median of grouped frequency table = $\sf l + \bigg( \dfrac{\frac{N}{2} - C.F.}{f} \bigg) \times h$ ⠀⠀⠀⠀⠀⠀⠀ Formula to find Mode of grouped frequency table = $\sf l + \bigg( \dfrac{ f_1 - f_0}{2f_1 - f_0 - f_2} \bigg) \times h$

Answer»

QUESTION:-

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Using short cut method, COMPUTE the mean height from the following FREQUENCY distribution:

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$\begin{gathered}\begin{tabular}{|c|c|c|c|c|c|c|}\cline{1-7} \tt height& \tt 58 & \tt 60 & \tt 62 & \tt 65 & \tt 66 & \tt 68\\\cline{1-7}\tt no.of plant &\tt 15 & \tt 14& \tt 20&\tt 18 & \tt 8& \tt 5 \\\cline{1-7}\end{tabular}\end{gathered}$

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AnswEr:-

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$\boxed{\begin{array}{cccc}\bf Height \: (x_i)&\bf No. \: of \: plants \: (f_i)&\bf f_ix_i\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 58&\sf 15&\sf 870 \\\\\sf 60 &\sf 14&\sf 840\\\\\sf 62 &\sf 20 &\sf 1240\\\\\sf 65&\sf 18&\sf 1170\\\\\sf 66&\sf 8&\sf 528\\\\\sf 68 &\sf 5 &\sf 340 \\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\bf &\bf \sum f_i = 80 &\bf \sum f_ix_i = 4988\end{array}}$