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Solving 11th-grade Math in Creative Horizon Volume 1 book, pages 130-135
Exercise 1: Averages and Modes of Grouped Data
Exercise 1: Creative Horizon 11th Grade Volume 1, Page 135
1. Solve Problem 1 - Creative Horizon 11th Grade Volume 1, Page 135
Problem:
Anh Van recorded the distances of his javelin throws 30 times in the table below (unit: meters):
a) Calculate the average distance for each throw.
b) Summarize Anh Van's throwing results in a grouped frequency table as shown below:
c) Estimate the average distance for each throw from the grouped frequency table above.
d) What is the maximum distance Anh Van is likely to throw?
Solution Method:
a) Apply the formula for calculating the mean of the dataset.
b) Count and create a table.
c) Use the formula for calculating the mean of the grouped dataset.
d) Utilize the formula for calculating the Mode of the grouped dataset.
Answer:
a) The average distance of each throw is: 71.56m
b)
c)
The estimated average distance is: 71.52m
d)
2. Solve Exercise 2 - Creative Horizon 11th Grade Volume 1, page 135
Problem:
Người ta đếm số xe ô tô đi qua một trạm thu phí mỗi phút trong khoảng thời gian từ 9 giờ đến 9 giờ 30 phút sáng. Kết quả được ghi lại ở bảng sau:
Count the average number of cars passing through the toll booth per minute.
Summarize the data into a grouped frequency table as follows:
c) Estimate the average number of cars passing through the toll booth per minute from the grouped frequency table.
Solution Method:
a) Apply the formula for calculating the mean of the data set.
b) Count and create a table.
c) Utilize the formula for calculating the mean of grouped data.
Answer:
a) The average number of cars passing through the toll booth per minute is: 17 cars
b)
c)
The estimated average number of cars passing through the toll booth from the grouped frequency table is: 18 cars
3. Solve Exercise 3 - Creative Horizon 11th Grade Volume 1, page 135
Problem:
Problem:
The estimated average and mode of the grouped data are: [Add Your Results Here]
Answer:
‒ Utilize the formula for calculating the mean of grouped data.
‒ Apply the formula for calculating the Mode of grouped data.
Answer:
The solution for Exercise 4 is: [Add Your Results Here]
Problem:
The measurement results of the height of 200 three-year-old eucalyptus trees on a farm are illustrated in the chart below.
Estimate the mean and mode of the grouped data.
Solution Method:
Create a grouped frequency table and then use the formulas:
- Formula for calculating the mean of grouped data.
- Formula for calculating the Mode of grouped data.
Answer:
Here is the guide to solving 11th-grade math on pages 130 to 135 in the Creative Horizon Volume 1 book, dealing with averages and modes of grouped data. To prepare for the next lesson, you can preview the instructions for solving 11th-grade math on pages 136, 137, 138, 139, 140 in the CTST Volume 1 book - Exercise 2: Median and quartiles of grouped data. Additionally, the section on solving 11th-grade math on pages 127, 128 in the CTST Volume 1 book - Exercise at the end of Chapter 4 will help reinforce the learned concepts. You can review the answers here.
Best wishes for your success in studying mathematics.
Explore additional resources for 11th-grade Math:
- 11th-grade Math Solutions in Creative Horizon Book
