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Math Solutions for Grade 7 pages 93, 94, 95 Workbook 1 book Horizon of Creativity is a resource to help 7th grade students solve exercises 1 through 6 of the Data Collection and Classification section easily and accurately. Through this, it is hoped that students can reinforce their knowledge to the fullest.
Refer to other Math 7 materials:
- Complete set of Math Solutions for Grade 7 book Horizon of Creativity
- Math solutions for Grade 7 on pages 98, 99 Workbook 1 book Kite - Exercise 2. Angle bisector
- Math solutions for Grade 7 on page 62 Workbook 1 book Connect Knowledge - Exercise 12: Sum of angles in a triangle
Solving exercises on pages 93, 94, 95 Workbook 1, book Horizon of Creativity
Data Collection and Classification
1. Solve Exercise 1 Page 93 Math Workbook Grade 7
Problem: Survey results on social media preferences of 8 students from a secondary school are provided in the following statistical table:
Please provide:
a) Different levels of expressing preferences for social media among 8 surveyed students.
b) How many male students and how many female students were surveyed?
c) The average age of the surveyed students.
d) Which data is qualitative? Which data is quantitative?
Solution:
Read the data table.
The average of n numbers = Sum of n numbers : n.
Numeric data is quantitative data.
Non-numeric data is qualitative data.
Answer:
a) The types of preferences for social media among the 8 surveyed students are: dislike, indifferent, like, really like.
b) There are 4 male students and 4 female students surveyed.
c) The average age of the surveyed students is:
(13 + 14 + 14 + 12 + 14 + 14 + 12 + 13) : 8 = 13.25 (years).
So the average age of the surveyed students is 13 years.
d) Qualitative data includes: gender, preferences.
Quantitative data includes: age.
2. Solve Exercise 2 Page 94 Math Workbook Grade 7
Problem: Classify the following data sets based on qualitative and quantitative criteria.
a) Time to run 100 meters (in seconds) of 7th grade students: 17; 16; 18; ...
b) List of swimming competition events: frog swim; breaststroke; freestyle;...
c) Types of medals awarded: gold; silver; bronze;...
d) Total number of medals for some teams: 24; 18; 9;...
Solution:
Numeric data is quantitative data.
Non-numeric data is qualitative data.
Answer:
The above data sets are classified as follows:
Quantitative data.
Qualitative data.
Qualitative data.
Quantitative data.
3. Solve Exercise 3 Page 94 Math Workbook Grade 7
Problem: The results of a survey on cooking abilities of all students in class 7B are provided in the following statistical table:
a) Classify the data in the above table based on qualitative and quantitative criteria.
b) Does the data represent the cooking abilities of students in class 7B?
Solution:
Numeric data is quantitative data.
Non-numeric data is qualitative data.
Answer:
a) Qualitative data: Cooking ability: inadequate, proficient, skilled, excellent.
Quantitative data: Number of female students self-assessed: 2; 10; 5; 3
b) The data is not representative of the cooking abilities of class 7B students because there is still missing data on male students in the class.
Solution:
Problem: The results of a survey on the swimming abilities of students in class 7C are provided in the following statistical table:
a) Classify the data in the above table based on qualitative and quantitative criteria.
b) Does the data represent the swimming abilities of class 7B students?
Solution:
Numeric data is quantitative data.
Non-numeric data is qualitative data.
Answer:
a) Qualitative data: Swimming ability: cannot swim; can swim; proficient swimmer.
Quantitative data: Number of male students: 5; 8; 4.
b) The data is not representative of the swimming abilities of class 7B students because there is still missing data on female students in the class.
5. Solve Exercise 5 Page 95 Math Workbook Grade 7
Problem: Identify the inconsistencies in the following statistical table:
Guidelines for solving:
The total percentage of all components must be 100%.
Answer:
The data provided in the table is not valid because the total percentage of all components is: 30% + 20% + 38% +14% = 102% (different from 100%).
6. Solving Problem 6 on Page 95 of Mathematics Textbook for Grade 7
Problem: Identify the inconsistencies in the data presented in the following statistical table:
Guidelines for solving:
The total percentage of all components must equal 100%.
Answer:
The data provided in the table is inconsistent because the total percentage of all components is: 15% + 38% + 50% = 103% (deviates from 100%).
Here is the guidance for solving problems in Grade 7 Mathematics on pages 93, 94, and 95, students should also refer to the solutions for problems on pages 100, 101, and review the solutions for problems on pages 86, 87 to reinforce their knowledge:
- Solving Grade 7 Mathematics on pages 100, 101, Book 1, Creative Horizon: Problem 2: Pie Charts
- Solving Grade 7 Mathematics on pages 106, 107, Book 1, Creative Horizon: Problem 3: Bar Graphs
