Question

the following chart shows a stores records of sales of stuffed toys for two months.
september
october
which of the following are accurate assessments of trends displayed in this graph?
i. the market share held by cats increased by about 6.5 percentage points.
ii. roughly 22.2% more stuffed toys in the \other\ category were sold in october than in september.
iii. the total number of stuffed toys sold increased by about 2%.
a. i and ii
b. ii only
c. i and iii
d. i, ii, and iii

Explanation:

Calculate total sales for both months

Using the Pie Chart Analysis knowledge point

$$ \text{Total}_{\text{Sept}} = 346 + 297 + 199 + 245 + 225 = 1312 $$

$$ \text{Total}_{\text{Oct}} = 308 + 260 + 285 + 186 + 275 = 1314 $$

Evaluate Statement I

Using the Market Share Trend knowledge point

$$ \text{Share}_{\text{Sept, Cats}} = \frac{199}{1312} \approx 15.17\% $$

$$ \text{Share}_{\text{Oct, Cats}} = \frac{285}{1314} \approx 21.69\% $$

$$ \text{Difference} = 21.69\% - 15.17\% = 6.52\% \approx 6.5\text{ percentage points} $$

Statement I is accurate.

Evaluate Statement II

Using the Percentage Increase knowledge point

$$ \text{Increase}_{\text{Other}} = \frac{275 - 225}{225} = \frac{50}{225} \approx 22.22\% $$

Statement II is accurate.

Evaluate Statement III

Using the Percentage Increase knowledge point

$$ \text{Increase}_{\text{Total}} = \frac{1314 - 1312}{1312} = \frac{2}{1312} \approx 0.15\% $$

An increase of \(0.15\%\) is not "about \(2\%\)". Statement III is inaccurate.

Determine the correct option

Since Statements I and II are accurate, the correct choice is "I and II".

Answer:

• a. I and II (Correct answer)
• b. II only
• c. I and III
• d. I, II, and III