In the diagram, O is the centre of the circle PQR, (SQ = IQR and PQR = 68^", Calculate PRS.

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ScanSolve AI Tutor · Accepted Answer

I will solve question 12. Question 12: Find the mean. The table shows the frequency distribution of the number of chairs in each of the 40 rooms. Number of Chairs (x): 1, 2, 3, 4, 5, 6, 7 Frequency (f): 2, 7, 5, 4, 9, 7, 6 Step 1: Calculate the product of the number of chairs (x) and its frequency (f) for each category. 1 × 2 = 2; 2 × 7 = 14; 3 × 5 = 15; 4 × 4 = 16; 5 × 9 = 45; 6 × 7 = 42; 7 × 6 = 42 Step 2: Calculate the sum of the products (∑ fx). ∑ fx = 2 + 14 + 15 + 16 + 45 + 42 + 42; ∑ fx = 176 Step 3: Calculate the sum of the frequencies (∑ f). ∑ f = 2 + 7 + 5 + 4 + 9 + 7 + 6; ∑ f = 40 This matches the information given that there are 40 rooms. Step 4: Calculate the mean (x) using the formula x = (∑ fx)/(∑ f). x = 176/40; x = 4.4 The mean is 4.4. The correct option is A. A. 4.4

In the diagram, O is the centre of the circle PQR, (SQ = IQR and PQR = 68^", Calculate PRS.

Answer

Step-by-step solution

Calculate the product of the number of chairs ( $x$ ) and its frequency ( $f$ ) for each category.

Calculate the sum of the products ( $\sum fx$ ).

Calculate the sum of the frequencies ( $\sum f$ ).

Calculate the mean ( $\bar{x}$ ) using the formula $\bar{x} = \frac{\sum fx}{\sum f}$ .

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In the diagram, O is the centre of the circle PQR, (SQ = IQR and PQR = 68^", Calculate PRS.

Answer

Step-by-step solution

Calculate the product of the number of chairs (xxx) and its frequency (fff) for each category.

Calculate the sum of the products (∑fx\sum fx∑fx).

Calculate the sum of the frequencies (∑f\sum f∑f).

Calculate the mean (xˉ\bar{x}xˉ) using the formula xˉ=∑fx∑f\bar{x} = \frac{\sum fx}{\sum f}xˉ=∑f∑fx​.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Calculate the product of the number of chairs ( $x$ ) and its frequency ( $f$ ) for each category.

Calculate the sum of the products ( $\sum fx$ ).

Calculate the sum of the frequencies ( $\sum f$ ).

Calculate the mean ( $\bar{x}$ ) using the formula $\bar{x} = \frac{\sum fx}{\sum f}$ .