Moderate -0.5 This is a straightforward application of standard formulas for variance from coded data and recovering the sum of squares. It requires knowing the variance formula with coding and algebraic manipulation, but involves no conceptual difficulty or problem-solving—just routine calculation with given summations.
5. The masses, \(m\) grams, of 52 apples of a certain variety were found and summarised as follows.
$$n = 52 \quad \Sigma ( m - 150 ) = - 182 \quad \Sigma ( m - 150 ) ^ { 2 } = 1768$$
Calculate the variance and thus the exact value of \(\sum m ^ { 2 }\)
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5. The masses, $m$ grams, of 52 apples of a certain variety were found and summarised as follows.
$$n = 52 \quad \Sigma ( m - 150 ) = - 182 \quad \Sigma ( m - 150 ) ^ { 2 } = 1768$$
Calculate the variance and thus the exact value of $\sum m ^ { 2 }$\\[0pt]
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\hfill \mbox{\textit{SPS SPS SM Statistics 2025 Q5 [4]}}