STAT Analysis of Tables and Charts 4

Question 1

A chart shows annual profits for a company: Year 1 = $200K, Year 2 = $180K, Year 3 = $220K, Year 4 = $210K, Year 5 = $250K. What is the average annual profit?

Accepted Answer

$212K

Answer

Sum = $200K + $180K + $220K + $210K + $250K = $1,060K; average = $1,060K ÷ 5 = $212K.

Question 2

A table shows that 3 out of every 8 items produced are defective. If 640 items are produced, how many are expected to be defect-free?

Accepted Answer

400

Answer

Defective = (3/8) × 640 = 240; defect-free = 640 − 240 = 400.

Question 3

A graph displays data points for years 2015-2020. The trend line (line of best fit) suggests the value will reach 100 in 2023. This prediction is an example of:

Accepted Answer

Extrapolation

Answer

Predicting a value beyond the range of existing data (past 2020) is called extrapolation, which carries greater uncertainty than interpolation.

Question 4

A table compares two products' sales over four quarters. Product A totals 1,200 units; Product B totals 900 units. In Q3, A sold 400 and B sold 350. Which statement is supported by the data?

Accepted Answer

Product B had a higher Q3 share of its annual total than Product A

Answer

B's Q3 share = 350/900 ≈ 38.9%; A's Q3 share = 400/1,200 ≈ 33.3%, so B devoted a larger fraction of its annual total to Q3.

Question 5

A pie chart shows budget allocation: Personnel 50%, Equipment 20%, Research 15%, Admin 10%, Miscellaneous 5%. If the budget is cut by 20% overall but personnel costs remain fixed, which statement must be true?

Accepted Answer

Personnel now represents more than 50% of the new budget

Answer

If the total budget shrinks but the fixed personnel cost stays the same, personnel's share of the reduced budget rises above 50%.

STAT - Special Tertiary Admissions Test Practice Test

STAT - Special Tertiary Admissions Test Practice Test

STAT Analysis of Tables and Charts 4