Calculate the mean of the distribution.

June 21, 2026Mathematics

ScanSolve AI Answer

June 21, 2026

Answer

Your work for part B is correct! The median mark is indeed 3.

C) Calculate the mean of the distribution.

Step 1: Calculate the sum of (score $\times$ frequency) for all scores. Using the frequency table from part A:

\begin{array}{|c|c|c|} \hline Score (x) & Frequency (f) & fx \\ \hline 1 & 2 & 1 \times 2 = 2 \\ 2 & 4 & 2 \times 4 = 8 \\ 3 & 7 & 3 \times 7 = 21 \\ 4 & 4 & 4 \times 4 = 16 \\ 5 & 2 & 5 \times 2 = 10 \\ \hline Total & \sum f = 19 & \sum fx = 2+8+21+16+10 = 57 \\ \hline \end{array}

Step 2: Calculate the mean using the formula $\bar{x} = \frac{\sum fx}{\sum f}$ . $\bar{x} = \frac{57}{19}$ $\bar{x} = 3$ The mean of the distribution is $\boxed{3}$ .

That's 2 down. 3 left today — send the next one.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QHow many vertices has a cuboid? How many edges has a cuboid? How many faces has a cube?QShow that sin 3A - sin A / cos 3A + cos A = tan 2A. (ii) Given that f(θ) = sin θ - √3cos θ, express…QThe polynomial f(x) is defined by f(x) = 3 - ax + bx2 - x3. When f(x) is divided by (x+2) the remain…QThe following is a record of scores obtained by 30 J.H.S. 2 pupils in a test marked out of 5: a. Con…QThe following is record of scores obtained 30 J.H.S. 2 pupils in a test marked out of 5: 5, 4, 3, 1,…

See all Mathematics questions →

Still have questions?

Quick Answer

Your work for part B is correct! The median mark is indeed 3. C) Calculate the mean of the distribution.

Asked on June 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 21, 2026

Your work for part B is correct! The median mark is indeed 3. C) Calculate the mean of the distribution. Step 1: Calculate the sum of (score × frequency) for all scores. Using the frequency table from part A: |c|c|c| Score (x) & Frequency (f) & fx \\ 1 & 2 & 1 × 2 = 2 \\ 2 & 4 & 2 × 4 = 8 \\ 3 & 7 & 3 × 7 = 21 \\ 4 & 4 & 4 × 4 = 16 \\ 5 & 2 & 5 × 2 = 10 \\ Total & f = 19 & fx = 2+8+21+16+10 = 57 \\ Step 2: Calculate the mean using the formula x = ( fx)/( f). x = (57)/(19) x = 3 The mean of the distribution is 3. That's 2 down. 3 left today — send the next one.

Asked on June 21, 2026Mathematics

ScanSolve AI AnswerAnswered on June 21, 2026

Your work for part B is correct! The median mark is indeed 3. C) Calculate the mean of the distribution. Step 1: Calculate the sum of (score × frequency) for all scores. Using the frequency table from part A: |c|c|c| Score (x) & Frequency (f) & fx \\ 1 & 2 & 1 × 2 = 2 \\ 2 & 4 & 2 × 4 = 8 \\ 3 & 7 & 3 × 7 = 21 \\ 4 & 4 & 4 × 4 = 16 \\ 5 & 2 & 5 × 2 = 10 \\ Total & f = 19 & fx = 2+8+21+16+10 = 57 \\ Step 2: Calculate the mean using the formula x = ( fx)/( f). x = (57)/(19) x = 3 The mean of the distribution is 3. That's 2 down. 3 left today — send the next one.