Question

The principal of a school wants to do the following analysis on the basis of food items procured and sold in the canteen:

1. Compare the purchase and sale prices of fruit juice and biscuits.
2. Compare sales of fruit juice, biscuits, and samosa.
3. Variation in the sale price of fruit juices of different companies for the same quantity (in ml).

Create an appropriate dataset for these items (fruit juice, biscuits, samosa) by listing their purchase price and sale price. Apply basic statistical techniques to make the comparisons.

Answer 1

Sample data

Product	Company	Sales price per unit	The purchase price per unit	Units sold
Fruit juice	Real	50	43	5
Samosa	Chandan	20	15	6
Biscuits	Britannia	10	7	7
Fruit juice	Pepsi	40	35	5
Samosa	Kundan	25	10	6
Biscuits	Parle	5	3	7
Fruit juice	Coke	45	32	5
Samosa	Sugandh	20	8	6
Biscuits	Cadbury	25	15	7

a) Comparison of Purchase and Sale Prices

Fruit Juice:

• Average purchase price = (43 + 35 + 32) / 3 = ₹36.67
• Average sale price = (50 + 40 + 45) / 3 = ₹45

Biscuits:

• Average purchase price = (7 + 3 + 15) / 3 = ₹8.33
• Average sale price = (10 + 5 + 25) / 3 = ₹13.33

Therefore, the average sale price is higher than the average purchase price for both fruit juice and biscuits.

b) Comparison of Sales

Total units sold:

• Fruit Juice = 5 + 5 + 5 = 15 units
• Biscuits = 7 + 7 + 7 = 21 units
• Samosa = 6 + 6 + 6 = 18 units

Therefore, biscuits have the highest sales, followed by samosa and fruit juice.

c) Variation in Sale Price of Fruit Juice

The sale prices of different fruit juice companies are:

• Real = ₹50
• Pepsi = ₹40
• Coke = ₹45

Maximum sale price = ₹50
Minimum sale price = ₹40

Range = Maximum − Minimum = ₹50 − ₹40 = ₹10

Therefore, the variation in the sale price of fruit juice is ₹10.