Comprehension
The top and bottom of each bar indicate, respectively, the highest and lowest daily number of shirts sold during the month. The heavy line across each bar indicates the average (arithmetic mean) number of shirts sold per day during the month.
Question: 1
What was the range in the daily number of shirts sold during March?
What was the range in the daily number of shirts sold during March?
Show Hint
When reading graphs, pay close attention to the scale of the axes. For bar charts like this, use a straight edge or your finger to align the top and bottom of the bar with the corresponding values on the y-axis to ensure accuracy.
Updated On: Oct 1, 2025
- 20
- 45
- 50
- 60
- 70
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
The question asks for the "range" of daily shirt sales for a specific month, March. The range in a set of data is the difference between the highest value and the lowest value. The bar chart provides these values for each month.
Step 2: Key Formula or Approach:
\[ \text{Range} = \text{Highest Value} - \text{Lowest Value} \]
We need to read the highest and lowest values from the bar for March.
Step 3: Detailed Explanation:
1. Locate the bar corresponding to "March" on the x-axis of the graph.
2. Identify the top of this bar, which represents the highest daily number of shirts sold. The top of the March bar aligns with the 70 mark on the y-axis. So, Highest Value = 70.
3. Identify the bottom of this bar, which represents the lowest daily number of shirts sold. The bottom of the March bar aligns with the 25 mark on the y-axis (halfway between 20 and 30). So, Lowest Value = 25.
4. Calculate the range using the formula:
\[ \text{Range} = 70 - 25 = 45 \]
Step 4: Final Answer:
The range in the daily number of shirts sold during March was 45.
The question asks for the "range" of daily shirt sales for a specific month, March. The range in a set of data is the difference between the highest value and the lowest value. The bar chart provides these values for each month.
Step 2: Key Formula or Approach:
\[ \text{Range} = \text{Highest Value} - \text{Lowest Value} \]
We need to read the highest and lowest values from the bar for March.
Step 3: Detailed Explanation:
1. Locate the bar corresponding to "March" on the x-axis of the graph.
2. Identify the top of this bar, which represents the highest daily number of shirts sold. The top of the March bar aligns with the 70 mark on the y-axis. So, Highest Value = 70.
3. Identify the bottom of this bar, which represents the lowest daily number of shirts sold. The bottom of the March bar aligns with the 25 mark on the y-axis (halfway between 20 and 30). So, Lowest Value = 25.
4. Calculate the range using the formula:
\[ \text{Range} = 70 - 25 = 45 \]
Step 4: Final Answer:
The range in the daily number of shirts sold during March was 45.
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Question: 2
The average (arithmetic mean) number of shirts sold per day during February was approximately what percent greater than the average number sold during January?
The average (arithmetic mean) number of shirts sold per day during February was approximately what percent greater than the average number sold during January?
Show Hint
For percent change questions, correctly identifying the "base" or "original value" is crucial. The question "percent greater than X" means X is the original value that goes in the denominator of the fraction.
Updated On: Oct 1, 2025
- 10%
- 20%
- 30%
- 40%
- 70%
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
This question asks for the percent increase from one value (January's average) to another (February's average). We first need to read these average values from the graph and then apply the percent change formula.
Step 2: Key Formula or Approach:
The formula for percent increase is:
\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100% \]
Step 3: Detailed Explanation:
1. Read the average for January: The heavy line on the January bar is at 25. So, Original Value = 25.
2. Read the average for February: The heavy line on the February bar is at 35. So, New Value = 35.
3. Calculate the increase in sales: Increase = 35 - 25 = 10 shirts.
4. Apply the percent increase formula:
\[ \text{Percent Increase} = \left( \frac{10}{25} \right) \times 100% \]
\[ \text{Percent Increase} = 0.4 \times 100% = 40% \]
Step 4: Final Answer:
The average number of shirts sold per day during February was 40% greater than the average number sold during January.
This question asks for the percent increase from one value (January's average) to another (February's average). We first need to read these average values from the graph and then apply the percent change formula.
Step 2: Key Formula or Approach:
The formula for percent increase is:
\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100% \]
Step 3: Detailed Explanation:
1. Read the average for January: The heavy line on the January bar is at 25. So, Original Value = 25.
2. Read the average for February: The heavy line on the February bar is at 35. So, New Value = 35.
3. Calculate the increase in sales: Increase = 35 - 25 = 10 shirts.
4. Apply the percent increase formula:
\[ \text{Percent Increase} = \left( \frac{10}{25} \right) \times 100% \]
\[ \text{Percent Increase} = 0.4 \times 100% = 40% \]
Step 4: Final Answer:
The average number of shirts sold per day during February was 40% greater than the average number sold during January.
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