the following chart shows a stores records of sales of stuffed toys for two months. september october which…

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

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

Answer

Answer:

c. I and III

Explanation:

Step1: Calculate total sales in September

$346 + 297+199 + 245+225=1312$

Step2: Calculate percentage of cat - sales in September

$\frac{199}{1312}\times100%\approx15.17%$

Step3: Calculate total sales in October

$308 + 260+285 + 186+275 = 1314$

Step4: Calculate percentage of cat - sales in October

$\frac{285}{1314}\times100%\approx21.7%$

Step5: Calculate increase in cat - market share

$21.7%−15.17%\approx6.5%$, so statement I is correct.

Step6: Calculate number of 'other' toys sold in September and October

In September: $225$, in October: $275$

Step7: Calculate percentage increase in 'other' toys

$\frac{275 - 225}{225}\times100%=\frac{50}{225}\times100%\approx22.2%$, but this is the increase in quantity, not the percentage of total sales. The statement II is incorrect as it is mis - worded in terms of the context of market share.

Step8: Calculate percentage increase in total sales

$\frac{1314 - 1312}{1312}\times100%=\frac{2}{1312}\times100%\approx0.15% \approx 2%$ (approximate), so statement III is correct.