Quantitative Literacy Data and Graphs Flashcards

A bar graph shows monthly rainfall in Cape Town: Jan 15mm, Feb 17mm, Jun 93mm, Jul 82mm. Which month had the highest rainfall?

Answer: June

June recorded 93mm, the largest value shown, so it is the wettest month in the data.

A pie chart shows a household budget: Rent 40%, Food 25%, Transport 20%, Other 15%. If the total monthly income is R12 000, how much is spent on rent?

Answer: R4 800

Rent is 40% of R12 000. 0.40 x 12 000 = R4 800.

A table lists test scores: 60, 72, 72, 80, 96. What is the mode of these scores?

Answer: 72

The mode is the most frequent value. 72 appears twice while all others appear once, so the mode is 72.

A line graph shows a learner's marks rising from 45% in Term 1 to 63% in Term 4. What is the total percentage-point increase?

Answer: 18 points

The increase is 63% - 45% = 18 percentage points.

A dataset of five values is 4, 6, 6, 8, 11. What is the mean (average)?

Answer: 7

Sum = 4+6+6+8+11 = 35. Mean = 35 / 5 = 7.

A graph's vertical axis is labelled 'Number of learners (thousands)' and a bar reaches 3.5. How many learners does this represent?

Answer: 3 500

The axis is in thousands, so a value of 3.5 means 3.5 x 1 000 = 3 500 learners.

Two data sets have the same mean but Set A's values are tightly clustered while Set B's are widely spread. Which set has the greater range?

Answer: Set B

Range measures spread (highest minus lowest). The more widely spread Set B has the larger range.

A survey of 200 students shows 30% prefer online classes. How many students prefer online classes?

Answer: 60

30% of 200 = 0.30 x 200 = 60 students.