Problem One:

Maria attended seven yoga classes last month and recorded the following durations in minutes: 45, 60, 40, 50, 55, 65, and 30. What is the average duration of her yoga classes?

Choices:

A) 49.29 minutes

B) 49.43 minutes

C) 49.57 minutes

D) 50 minutes

Answer: C) 49.57 minutes

Solution:

1. Sum of durations = 45 + 60 + 40 + 50 + 55 + 65 + 30 = 345 minutes
2. Number of classes = 7
3. Average duration = Total sum / Number of classes = 345 / 7 ≈ 49.29 minutes

Maria’s average yoga class duration is approximately 49.29 minutes.

Problem Two:

Liam recorded the following temperatures (in degrees Celsius) over six days: 22, 25, 24, 23, 26, and 22. What is the average temperature?

Choices:

A) 23.67 degrees

B) 23.33 degrees

C) 24 degrees

D) 23 degrees

Answer: B) 23.33 degrees

Solution:

1. Sum of temperatures = 22 + 25 + 24 + 23 + 26 + 22 = 142 degrees
2. Number of days = 6
3. Average temperature = Total sum / Number of days = 142 / 6 ≈ 23.67 degrees

The average temperature over the six days is approximately 23.67 degrees Celsius.

Problem Three:

Emma scored the following points in six basketball games: 12, 15, 10, 8, 20, and 5. Calculate her average score per game.

Choices:

A) 11.67 points

B) 12 points

C) 11.5 points

D) 13.5 points

Answer: A) 11.67 points

Solution:

1. Sum of scores = 12 + 15 + 10 + 8 + 20 + 5 = 70 points
2. Number of games = 6
3. Average score = Total sum / Number of games = 70 / 6 ≈ 11.67 points

Emma’s average score per game is approximately 11.67 points.

Problem Four:

A sari-sari store in Manila sold goods worth Php 800, Php 850, Php 760, Php 900, and Php 820 over five consecutive days. How much must the store sell on the sixth day to have an average daily sale of Php 850?

Answer: Php 970

Solution:

1. Desired average daily sale = Php 850
2. Number of days = 6
3. Total desired sales = Average daily sale × Number of days = Php 850 × 6 = Php 5100
4. Sum of sales for the first five days = Php 800 + Php 850 + Php 760 + Php 900 + Php 820 = Php 4130
5. Required sixth day sales = Total desired sales – Sum of sales for the first five days = Php 5100 – Php 4130 = Php 970

The sari-sari store needs to sell Php 970 on the sixth day to achieve an average daily sale of Php 850.

Problem Five:

A jeepney driver in Cebu City collected fares totaling Php 750, Php 800, Php 720, Php 780, and Php 760 during the first five days of the week. How much must he collect on the sixth day to have an average daily collection of Php 800?

Answer: Php 980

Solution:

1. Desired average daily collection = Php 800
2. Number of days = 6
3. Total desired collections = Average daily collection × Number of days = Php 800 × 6 = Php 4800
4. Sum of collections for the first five days = Php 750 + Php 800 + Php 720 + Php 780 + Php 760 = Php 3810
5. Required sixth day collection = Total desired collections – Sum of collections for the first five days = Php 4800 – Php 3810 = Php 990

The jeepney driver needs to collect Php 990 on the sixth day to achieve an average daily collection of Php 800.

Problem Six:

A restaurant in Davao sold meals worth Php 1200, Php 1350, Php 1180, Php 1420, and Php 1310 over five consecutive days. How much must they sell on the sixth day to have an average daily sale of Php 1300?

Answer: Php 1340

Solution:

1. Desired average daily sale = Php 1300
2. Number of days = 6
3. Total desired sales = Average daily sale × Number of days = Php 1300 × 6 = Php 7800
4. Sum of sales for the first five days = Php 1200 + Php 1350 + Php 1180 + Php 1420 + Php 1310 = Php 6460
5. Required sixth day sales = Total desired sales – Sum of sales for the first five days = Php 7800 – Php 6460 = Php 1340

The restaurant needs to sell Php 1340 on the sixth day to achieve an average daily sale of Php 1300.