Frequency Table Exercises and Solutions for High School Students, Assignments of Mathematics

A series of exercises focused on frequency tables, designed for high school students. It includes questions related to completing frequency tables from given data sets, determining cumulative relative frequencies, and constructing frequency tables for grouped data. Each question is accompanied by a detailed explanation of the solution, making it a valuable resource for students learning about data representation and analysis. The exercises cover various aspects of frequency tables, such as calculating frequencies, determining class widths, and interpreting data within specific ranges. These exercises are designed to reinforce understanding and improve problem-solving skills in statistics.

Typology: Assignments

2024/2025

Available from 10/27/2025

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Question
Given the relative frequency table below, which of the following is the
Value Cumulative relative frequency
4
0.35
5
0.55
6
0.6
7 1
Answer Explanation
Correct answer:
Value Cumulative relative frequency
4
0.35
5
0.55
6
0.6
7 1
Remember that a cumulative frequency table adds the relative frequencies for the previous
entries in the table. For example, the entry for the value 6 is
0.35+0.2+0.05=0.6
Question
The ages of the students in a creative writing seminar are listed below.
17,22,20,18,19,20,17,17,22,18,20,18,17,18,21,18,18,19,19,1
9,20,19,21,21
Complete the frequency table.
Yes
that's
right.
Keep
it
up!
pf3
pf4
pf5
pf8
pf9
pfa

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Question

Given the relative frequency table below, which of the following is the Value (^) Cumulative relative frequency

Answer Explanation

Correct answer: Value (^) Cumulative relative frequency

Remember that a cumulative frequency table adds the relative frequencies for the previous

entries in the table. For example, the entry for the value 6 is

Question

The ages of the students in a creative writing seminar are listed below.

Complete the frequency table. Yes that's right. Keep it up!

Answer Explanation

The age 18 appears 6 times.

The age 19 appears 5 times.

The age 20 appears 4 times.

The age 21 appears 3 times.

The age 22 appears 2 times.

Question

The ages of the students in an art class at the community center are listed below.

Complete the frequency table.

Great work! That's correct.

Answer Explanation

Lower Class Limit Upper Class Limit Frequency

$42$42 $$50^ $$

Answer Explanation Lower Class Limit Upper Class Limit Frequency

$15$15 1 $$^2 $$

$42$42 7 $$^8 $$

Correct answers:

  • $$
  • $$
  • $$
  • $$
  • $$
  • $$
  • 1 $23$
  • 2 $4$
  • 3 $24$
  • 4 $32$
  • 5 $33$
  • 6 $3$
  • 7 $50$
  • 8 $5$
  • 9 $51$
  • 10 $59$
  1. Determine the frequency for each row by counting the number of data values that lie within each lower and upper class limit. For the

first row, the frequency is 4 because the data values 15 , 17 , 18 ,

and 19 lie within the class limits

of 15 to 23.

Lower Class Limit Upper Class Limit Frequency

The table is now complete. Remember, that if we sum the frequencies of all classes, we should obtain the total number of data values.

Question

The frequency table below shows the number of goals Real Madrid

scored in each of their soccer games in April and May of 2022.

Determine the total number of data values represented in the table. Data (goals scored) Frequency

Correct! You nailed it.

Answer Explanation

Correct answers:

The sum of the numbers in the Frequency column represents the total number of data values in the set.

so there are 14 total data values in this set.