1. The table below shows the marles obtained by 33 students in a class. [10 Slarks] \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Sarks \( (x) \) & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency (y) & 2 & 8 & \( k^{2} \) & 4 & 6 & \( 3 k \) & 2 & 1 \\ \hline \end{tabular} a. Find the value of \( k \) b. Calculate the mean score of the class, correct to 2 decimal places.
Added by Abdul J.
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The frequency column represents the number of students with each score. So, we can write an equation for the total number of students: \(2 + 8 + k^2 + 4 + 6 + 3k + 2 + 1 = 33\) Now, we can simplify and solve for k: \(k^2 + 3k + 23 = 33\) \(k^2 + 3k - 10 = Show more…
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