Here are the appetizers Try them out Qn 1. (It's 182.3 at the end if )

March 15, 2026Mathematics

ScanSolve AI Answer

March 15, 2026

Answer

182.3

Step 1: Identify the class intervals, frequencies $f$ , calculate midpoints $x$ , and products $fx$ .

\begin{array}{c|c|c|c} Class interval & f & x & fx \\ \hline 150{-}160 & 1 & 155 & 155 \\ 160{-}170 & 3 & 165 & 495 \\ 170{-}180 & 6 & 175 & 1050 \\ 180{-}190 & 10 & 185 & 1850 \\ 190{-}200 & 4 & 195 & 780 \\ 200{-}210 & 2 & 205 & 410 \\ \hline \sum & 26 & & 4740 \\ \end{array}

Step 2: Formula for mean of grouped data:
$\bar{x} = \frac{\sum fx}{\sum f}$

Step 3: Substitute the values.
$\bar{x} = \frac{4740}{26}$

Step 4: Simplify.
$26 \times 182 = 4732$
$4740 - 4732 = 8$
$\frac{8}{26} \approx 0.31$
$\bar{x} \approx 182.31$

Final answer: $\boxed{182.3}$

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