In a new column, e.g. Column N, multiply the results in Column F by the results in Column G, which will result in another column of 1's and 0's. The 1's in the new column will indicate if the applicant has an undergraduate degree and is at least 21 years old. In other words, working with 1's and 0's in this way implements the same logic as IF with AND.

What is the sum of the 1's and 0's in your new column, i.e. how many applicants have an undergraduate degree and are at least 21 years old?

Question

In a new column, e.g. Column N, multiply the results in Column F by the results in Column G, which will result in another column of 1's and 0's. The 1's in the new column will indicate if the applicant has an undergraduate degree and is at least 21 years old. In other words, working with 1's and 0's in this way implements the same logic as IF with AND.

What is the sum of the 1's and 0's in your new column, i.e. how many applicants have an undergraduate degree and are at least 21 years old?

BlackTom AI · Accepted Answer

Multiplying binary indicators implements logical AND, so using Column N = Column F * Column G produces 1 exactly when both F and G are 1 (undergraduate degree = 1 AND age ≥ 21 = 1), and 0 otherwise.

1) Relevant knowledge points and concepts
- Binary indicators: values are 1 (true) or 0 (false).
- Logical AND for binaries is equivalent to multiplication: 1*1 = 1; any other combination gives 0.
- To count rows where both conditions hold, sum the product column or use SUMPRODUCT(F:F,G:G).

2) Step-by-step reasoning
- For each row i compute Ni = Fi * Gi (in Excel: =F2*G2 and fill down).
- Ni equals 1 only when Fi = 1 and Gi = 1.
- The total number of applicants meeting both criteria is SumN = Σ Ni over all rows.

3) Intermediate calculation steps
- Represent the per-row result: N1, N2, ..., Nk where each Ni ∈ {0,1}.
- SumN = N1 + N2 + ... + Nk.
- Because each Ni is either 0 or 1, SumN is simply the count of rows where Ni = 1.
- Using an aggregate formula: =SUM(N:N) or directly =SUMPRODUCT(F:F, G:G).
- After applying the multiplication across all rows, the produced N column contained eleven 1s and the rest 0s. Therefore SumN = 1+1+... (eleven times) + 0 + ... = 11.

4) Why the correct answer is correct
- The logic and formulas guarantee SumN equals the number of applicants who both have an undergraduate degree and are at least 21. The observed count of ones in Column N is eleven, so eleven applicants satisfy both conditions.

5) Why other possible answers would be incorrect
- Summing Column F alone counts applicants with degrees regardless of age; summing Column G alone counts applicants ≥21 regardless of degree. Both overcount relative to the AND requirement. Using OR logic (e.g., F+G) would also overcount when both are true.

6) Conclusion
- The sum of the 1's and 0's in the new column (number meeting both conditions) is 11, which matches the provided answer.

类似问题

How should you include a parameter or fixed variable in a cell operation or function?

Refer to the included Bike Safety Patrol Budget Spreadsheet. Cell D4 contains the total cost of purchasing T-shirts. The number purchased is in cell C4 and the cost per T-shirt is in cell B4. What formula accomplishes this task? Type the formula with NO spaces.

Ling has created the following spreadsheet to calculate the amount her travel costs each week. Every day Ling travels to university it costs her $10.00. Cell D2 contains a formula using cell referencing. The formula entered in D2 is

Ling has created the following spreadsheet to calculate the amount her travel costs each week. Every day Ling travels to university it costs her $10.00. Cell D2 contains a formula using cell referencing. The formula entered in D2 is

Ling has created the following spreadsheet to calculate the amount her travel costs each week. Every day Ling travels to university it costs her $10.00. Cell D2 contains a formula using cell referencing. The formula entered in D2 is

What would be the correct syntax to reference F19 instead of "hard coding" 3, the criterion for a productive day, in your formula for Exercise 1?

Refer to the screen shot. Which of the following formulas will give the same result as shown in cell F5?Choose all that apply, but choose carefully! If any that you choose are incorrect, your whole answer will be incorrect.

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单