LARGE and SMALL in Excel - Real Business Scenario

Scenario Mode

👤 Your Role: You are a sales analyst at a retail company.

📋 Request: Your manager wants to identify the top 3 highest and bottom 3 lowest sales amounts from last month to understand sales performance extremes.

📊 Data: You have a list of sales transactions with columns for Transaction ID, Salesperson, and Sales Amount.

🎯 Deliverable: Create a summary table showing the top 3 largest sales amounts and the bottom 3 smallest sales amounts.

Sample Data

Transaction ID	Salesperson	Sales Amount
1001	Alice	250
1002	Bob	450
1003	Charlie	150
1004	Diana	700
1005	Eva	300
1006	Frank	100
1007	Grace	600
1008	Hank	200
1009	Ivy	400
1010	Jack	350

1

Step 1: Create a new table with two columns: 'Top 3 Sales' and 'Bottom 3 Sales'.

No formula needed for this step.

Expected Result

A blank table with headers 'Top 3 Sales' and 'Bottom 3 Sales' ready for formulas.

2

Step 2: In the first cell under 'Top 3 Sales', enter a formula to find the largest sales amount.

=LARGE(C2:C11, 1)

Expected Result

700 (the highest sales amount)

3

Step 3: In the next cell under 'Top 3 Sales', enter a formula to find the second largest sales amount.

=LARGE(C2:C11, 2)

Expected Result

600 (the second highest sales amount)

4

Step 4: In the third cell under 'Top 3 Sales', enter a formula to find the third largest sales amount.

=LARGE(C2:C11, 3)

Expected Result

450 (the third highest sales amount)

5

Step 5: In the first cell under 'Bottom 3 Sales', enter a formula to find the smallest sales amount.

=SMALL(C2:C11, 1)

Expected Result

100 (the lowest sales amount)

6

Step 6: In the next cell under 'Bottom 3 Sales', enter a formula to find the second smallest sales amount.

=SMALL(C2:C11, 2)

Expected Result

150 (the second lowest sales amount)

7

Step 7: In the third cell under 'Bottom 3 Sales', enter a formula to find the third smallest sales amount.

=SMALL(C2:C11, 3)

Expected Result

200 (the third lowest sales amount)

Final Result

Top 3 Sales | Bottom 3 Sales
------------|----------------
700         | 100
600         | 150
450         | 200

✓The highest sale was 700.

✓The lowest sale was 100.

✓Top 3 sales are significantly higher than the bottom 3 sales.

Bonus Challenge

Add the names of the salespersons who made the top 3 and bottom 3 sales next to the amounts.

Show Hint

Use the INDEX and MATCH functions combined with LARGE and SMALL to find the salesperson names.

Practice

1. What does the Excel function LARGE(range, k) do?

easy

A. Returns the smallest number in the range

B. Returns the k-th largest number in the range

C. Returns the sum of the largest k numbers

D. Returns the average of the range

Solution

1. Step 1: Understand the function purpose

   The LARGE function is designed to find the k-th largest value in a list or range of numbers.

2. Step 2: Compare options with function behavior

   Only Returns the k-th largest number in the range correctly describes that it returns the k-th largest number, not the smallest, sum, or average.

3. Final Answer:

   Returns the k-th largest number in the range -> Option B

4. Quick Check:

   LARGE(range, k) = k-th largest number [OK]

Hint: LARGE picks biggest; SMALL picks smallest number [OK]

Common Mistakes:

• Confusing LARGE with SUM or AVERAGE
• Thinking LARGE returns smallest values
• Mixing up k-th largest with total count

2. Which of these is the correct syntax to find the 3rd smallest number in cells A1 to A10?

easy

A. =SMALL(A1:A10, 3)

B. =SMALL(3, A1:A10)

C. =SMALL(A1:A10)

D. =SMALL(A1:A10, "3")

Solution

1. Step 1: Recall SMALL function syntax

   The correct syntax is SMALL(range, k) where range is the data and k is the position.

2. Step 2: Check each option

   =SMALL(A1:A10, 3) matches the correct syntax. =SMALL(3, A1:A10) reverses arguments, =SMALL(A1:A10) misses k, =SMALL(A1:A10, "3") uses a string instead of a number.

3. Final Answer:

   =SMALL(A1:A10, 3) -> Option A

4. Quick Check:

   SMALL(range, k) correct syntax [OK]

Hint: Use SMALL(range, k) with number k, not string [OK]

Common Mistakes:

• Swapping arguments order
• Omitting the k value
• Using quotes around k

3. Given the values in cells A1 to A5: 10, 25, 15, 30, 20, what is the result of =LARGE(A1:A5, 2)?

medium

A. 30

B. 20

C. 15

D. 25

Solution

1. Step 1: List values and sort descending

   The values are 10, 25, 15, 30, 20. Sorted largest to smallest: 30, 25, 20, 15, 10.

2. Step 2: Identify 2nd largest value

   The 2nd largest value is 25.

3. Final Answer:

   25 -> Option D

4. Quick Check:

   LARGE(..., 2) = 2nd largest = 25 [OK]

Hint: Sort values mentally to find k-th largest [OK]

Common Mistakes:

• Choosing the largest instead of 2nd largest
• Confusing LARGE with SMALL
• Miscounting the position k

4. You wrote =SMALL(A1:A5, 0) to find the smallest number. What is wrong and how to fix it?

medium

A. k cannot be zero; change 0 to 1

B. Range is wrong; use A1:A6 instead

C. Use LARGE instead of SMALL

D. Add quotes around 0 like "0"

Solution

1. Step 1: Understand k parameter rules

   In SMALL(range, k), k must be a positive integer starting at 1 to pick the smallest, 2nd smallest, etc.

2. Step 2: Identify the error and fix

   Using 0 for k is invalid. Change it to 1 to get the smallest value.

3. Final Answer:

   k cannot be zero; change 0 to 1 -> Option A

4. Quick Check:

   k ≥ 1 for SMALL function [OK]

Hint: k must be 1 or more, never zero [OK]

Common Mistakes:

• Using zero or negative k values
• Changing range unnecessarily
• Confusing SMALL with LARGE

5. You have sales data in B2:B11. To find the 3rd highest sale excluding zeros, which formula works correctly?

hard

A. =LARGE(B2:B11, 3)

B. =SMALL(B2:B11, 3)

C. =LARGE(IF(B2:B11>0, B2:B11), 3) (entered as array formula)

D. =LARGE(B2:B11, 4)

Solution

1. Step 1: Understand the problem requirement

   We want the 3rd largest sale but only counting values greater than zero (exclude zeros).

2. Step 2: Analyze each option

   =LARGE(B2:B11, 3) includes zeros, so might pick zero if it is among top 3. =LARGE(IF(B2:B11>0, B2:B11), 3) (entered as array formula) uses IF to filter out zeros and requires array formula entry, which is correct. =SMALL(B2:B11, 3) uses SMALL, wrong direction. =LARGE(B2:B11, 4) picks 4th largest, not 3rd.

3. Final Answer:

   =LARGE(IF(B2:B11>0, B2:B11), 3) -> Option C

4. Quick Check:

   Filter zeros with IF, then LARGE(..., 3) [OK]

Hint: Use IF to exclude zeros inside LARGE with array formula [OK]

Common Mistakes:

• Not excluding zeros, getting wrong rank
• Using SMALL instead of LARGE
• Wrong k value for position