To answer your question, let's analyze the pie chart you provided.

Step 1: Identify the smallest angle

The pie chart shows the following angles corresponding to different juices:

• Litchi: 36°
• Apple: 61.2°
• Pineapple: 68.4°
• Orange: 86.4°
• Mango: 108°

The smallest angle is 36°, which corresponds to Litchi. Therefore, Litchi is the favorite juice of the least number of students.

Step 2: Calculate the number of students who like Litchi

The total number of students is 2500. The pie chart represents the entire population, so to find the number of students who like Litchi:

$\text{Number of students who like Litchi} = \left(\frac{\text{Angle for Litchi}}{360^\circ}\right) \times \text{Total Number of Students}$

Substituting the values:

$\text{Number of students who like Litchi} = \left(\frac{36^\circ}{360^\circ}\right) \times 2500$

$\text{Number of students who like Litchi} = \frac{36}{360} \times 2500 = \frac{1}{10} \times 2500 = 250$

Answer:

• The favorite juice of the least number of students is Litchi.
• 250 students like Litchi.

Would you like more details or have any other questions?

Follow-up Questions:

1. What is the percentage of students who prefer Mango juice?
2. How many more students prefer Mango than Pineapple?
3. If another 100 students were asked and all chose Apple, what would the new total be for Apple?
4. How can you calculate the number of students who like Orange juice?
5. If 5% of the students who like Mango switched to Litchi, how many students would like Litchi then?

Tip:

When dealing with pie charts, remember that each slice's angle proportionally represents a part of the whole. Use this proportionality to calculate actual quantities when the total is known.