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Solving 11th-grade math problems in the Creative Horizon Volume 1 book on pages 143 and 144
Exercise at the end of Chapter 5
Solving 11th-grade Math in Creative Horizon Volume 1 Page 143
1. Solving problem 1 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
What range does the average of the data set belong to among the following ranges?
A. [7; 9);
B. [9; 11);
C. [11; 13);
D. [13; 15).
Solution Method:
Using the formula to calculate the mean of grouped data.
Answer:
We have the representative value table as follows:
The average value of the dataset is: 9.4
Choose B
2. Solve problem 2 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
Which range does the median of the dataset belong to among the following ranges?
A. [7; 9);
B. [9; 11);
C. [11; 13);
D. [13; 15).
Solution Method:
Arrange the dataset in non-decreasing order and find the median.
Answer:
3. Solve problem 3 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
Which quartile does the dataset belong to among the following quartiles?
A. [7; 9);
B. [9; 11);
C. [11; 13);
D. [13; 15).
Solution Method:
Using the formula to calculate the mode of grouped data.
Answer:
Choose A, B
4. Solve problem 4 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
Which value is the first quartile of the dataset closest to among the following values?
A. 7
B. 7.6
C. 8
D. 8.6
Solution Method:
Using the formula to calculate the first quartile according to the grouped frequency table.
Answer:
5. Solve problem 5 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
Which value is the third quartile of the dataset closest to among the following values?
A. 10
B. 11
C. 12
D. 13
Solution Method:
Using the formula to calculate the third quartile according to the grouped frequency table.
Answer:
6. Solve problem 6 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
Statistical data on the average scores of Mathematics for some 11th-grade students are provided in the table below:
Estimate the mean, quartiles, and mode of the grouped data set.
Solution Method:
Using formulas to calculate the mean, mode, and quartiles of the grouped data set.
Answer:
7. Solve problem 7 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
To check the battery usage time of her new phone, Ms. An records the usage time of her phone from full charge until the battery runs out in the table below:
a) Estimate the average usage time from when Ms. An fully charges her phone until the battery runs out.
b) Ms. An believes that about 25% of the phone charging cycles only last less than 10 hours. Is Ms. An's assertion reasonable?
Solution Method:
Using formulas to calculate the mean and first quartile of the grouped data set.
Answer:
8. Solve problem 8 - Creative Horizon Volume 1 11th Grade Page 143
Problem Statement:
The total rainfall in August measured at a monitoring station located in Vung Tau from 2002 to 2020 is recorded as follows (unit: mm):
a) Determine the mean, quartiles, and mode of the data set.
b) Complete the grouped frequency table according to the following sample:
c) Estimate the mean, quartiles, and mode of the data set in the grouped frequency table above.
Solution Method:
a) Arrange the dataset in non-decreasing order and find the quartiles.
b) Count and create a table.
c) Use formulas to calculate the mean, quartiles, and mode of the data set in the grouped frequency table.
Answer:
a) The dataset sorted in non-decreasing order is:
121.8; 134; 158.3; 161.5; 165.6; 165.9; 165.9; 168; 169; 173; 189; 189.8; 194.3; 200.9; 220.7; 234.2; 254; 255; 334.9.
The total number of survey years is 19 years.
The average rainfall over 19 years in Vung Tau is: 192.4
+) The median of the dataset is the 10th value, Q2 = 173.
The first quartile of the left half of the dataset is the 5th value, Q1 = 165.6.
The third quartile of the right half of the dataset is the 15th value, Q3 = 220.7.
+) The mode of the dataset is M0 = 165.9.
b) Here is the grouped frequency table:
c)
Solve Math 11 Creative Horizon Volume 1 Page 144
9. Solve problem 9 - Creative Horizon Grade 11 Book 1 page 144
Statement:
The following table summarizes the daily new SARS-CoV-2 infections in December 2021 in Vietnam.
a) Determine the mean and quartiles of the dataset. How many outliers are there in the dataset?
b) Complete the grouped frequency table according to the example:
c) Estimate the mean and quartiles of the dataset in the grouped frequency table above.
Solution Method:
a) Arrange the dataset in non-decreasing order, find the mean and quartiles.
b) Count and create the table.
c) Utilize the formula to calculate the mean and quartiles of the dataset in the grouped frequency table.
Answer:
a) The average number of new SARS-CoV-2 infections is: 15882 cases
The dataset sorted in non-decreasing order is:
14 254; 14 295; 14 299; 14 433; 14 598; 14 866; 14 927; 15 139; 15 215; 15 223; 15 264; 15 310; 15 420; 15 474; 15 667; 15 685; 15 720; 15 871; 15 965; 16 035; 16 046; 16 192; 16 363; 16 586; 16 633; 16 806; 16 830; 16 860; 17 004; 17 044; 20 454.
b) The grouped frequency table is as follows:
c)
Above is the guide to solving math problems for Grade 11 on pages 143, 144 of Creative Horizon Volume 1, focusing on Median and Quartiles of grouped data. To prepare for the next lesson, you can preview the instructions for solving math problems for Grade 11 on pages 146, 147 of Creative Horizon Volume 1 - Exercise 1: Understanding trigonometric functions using GeoGebra software. Additionally, the section on solving math problems for Grade 11 on pages 136, 137, 138, 139, 140, 141 of Creative Horizon Volume 1 - Exercise 2: Median and Quartiles of grouped data will help reinforce the learned knowledge, and you can review the answers here.
Wishing you all good luck in your math studies.
For further reference on Grade 11 Math:
- Grade 11 Math solutions from Creative Horizon
