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04 Dec 2023, 12:03
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Dropdown 1: 35.42
Dropdown 2: 1.66
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:43) correct
33%
(03:00)
wrong
based on 303
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Data Insights (DI) Butler 2023-24 [Question #141, Date: Dec-04-2023] [Click here for Details]
The chart shows the breakdown of the stock holdings in one investor’s portfolio, by number of company stocks held, each company’s market capitalization type (Large, Mid, or Small), and the type of stock (Growth, Core, or Value).
Based on the given information, fill in the blanks in each of the following statements.
1.1 The Growth stocks in the investor’s portfolio represent % of the total portfolio.
1.2 The investor has times as many Large Cap stocks in her portfolio as Small Cap stocks.
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Dropdown 1: 35.42
Dropdown 2: 1.66
13 Dec 2023, 14:19
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Can you explain this question?
My answers are as follows:
From the chart, we have the following numbers:
Small cap - Growth: 8
Small cap - Core: 9
Small cap - Value: 12
Mid cap - Growth: 6
Mid cap - Value: 13
Large cap - Growth: 11
Large cap - Value: 17
Large cap - Core: 12
To find x, the percentage of Growth stocks in the investor's portfolio, we need to determine the total number of stocks and the number of Growth stocks:
Total number of Growth stocks = Small cap - Growth + Mid cap - Growth + Large cap - Growth
= 8 + 6 + 11 = 25
Total number of stocks = Sum of all stocks in each category (Small cap, Mid cap, Large cap)
= (8 + 9 + 12) + (6 + 13) + (11 + 17 + 12)
= 29 + 19 + 40
= 88
Percentage of Growth stocks = (Number of Growth stocks / Total number of stocks) * 100
= (25 / 88) * 100
≈ 28.41%
Therefore, x ≈ 28.41. The Growth stocks in the investor's portfolio represent approximately 28.41% of the total portfolio.
To find y, the ratio of Large Cap stocks to Small Cap stocks:
Number of Large Cap stocks = Large cap - Growth + Large cap - Value + Large cap - Core
= 11 + 17 + 12
= 40
Number of Small Cap stocks = Small cap - Growth + Small cap - Core + Small cap - Value
= 8 + 9 + 12
= 29
Ratio of Large Cap stocks to Small Cap stocks = Number of Large Cap stocks / Number of Small Cap stocks
= 40 / 29
≈ 1.38 (rounded to two decimal places)
Therefore, y ≈ 1.38. The investor has approximately 1.38 times as many Large Cap stocks in her portfolio as Small Cap stocks.
My answers are as follows:
From the chart, we have the following numbers:
Small cap - Growth: 8
Small cap - Core: 9
Small cap - Value: 12
Mid cap - Growth: 6
Mid cap - Value: 13
Large cap - Growth: 11
Large cap - Value: 17
Large cap - Core: 12
To find x, the percentage of Growth stocks in the investor's portfolio, we need to determine the total number of stocks and the number of Growth stocks:
Total number of Growth stocks = Small cap - Growth + Mid cap - Growth + Large cap - Growth
= 8 + 6 + 11 = 25
Total number of stocks = Sum of all stocks in each category (Small cap, Mid cap, Large cap)
= (8 + 9 + 12) + (6 + 13) + (11 + 17 + 12)
= 29 + 19 + 40
= 88
Percentage of Growth stocks = (Number of Growth stocks / Total number of stocks) * 100
= (25 / 88) * 100
≈ 28.41%
Therefore, x ≈ 28.41. The Growth stocks in the investor's portfolio represent approximately 28.41% of the total portfolio.
To find y, the ratio of Large Cap stocks to Small Cap stocks:
Number of Large Cap stocks = Large cap - Growth + Large cap - Value + Large cap - Core
= 11 + 17 + 12
= 40
Number of Small Cap stocks = Small cap - Growth + Small cap - Core + Small cap - Value
= 8 + 9 + 12
= 29
Ratio of Large Cap stocks to Small Cap stocks = Number of Large Cap stocks / Number of Small Cap stocks
= 40 / 29
≈ 1.38 (rounded to two decimal places)
Therefore, y ≈ 1.38. The investor has approximately 1.38 times as many Large Cap stocks in her portfolio as Small Cap stocks.
