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In this lesson, we will learn how to read and interpret frequency tables and tally charts and how to form a frequency table for a given quantitative data set.

Q1:

The table shows the number of classes of varying sizes in a school. Using the data, complete the frequency table.

Q2:

The table shows the marks out of 10 that students scored in a test. How many students scored higher than the modal mark?

Q3:

The table shows the marks of 100 students in a recent science exam. How many students received 40 marks or more?

Q4:

The given tally chart shows items sold at a school shop. How many items were sold altogether?

Q5:

The tally chart shows a group of students’ favourite superheroes. Were fourteen students surveyed?

Q6:

Fady conducted a survey to determine the favorite sandwiches of the students in his class. The results of the survey are shown in this tally chart. Which sandwiches are more popular than peanut butter?

Q7:

The table shows the number of days each student has been absent. Use this data to complete the frequency table.

Q8:

The frequency table below shows the weights of 40 students in a class. How many students weigh less than 50 kg?

Q9:

The table shows the weekly wages of 30 workers in a factory. By forming the frequency table using the intervals 30–39, 40–49, 50–59, 60–69, 70–79, 80–89, and 90–99, find which interval has the highest frequency.

Q10:

The table shows the heights of 100 students in a school. How many students’ heights are greater than or equal to 120 cm?

Q11:

The table of numbers shows the marks of 30 students in a mathematics exam.

Using this data, complete the frequency table.

Q12:

The table shows the marks of 60 students in a science exam. How many students failed the test given that the pass mark was 30?

Q13:

Maged recorded the number of glasses of juice he sold in his neighborhood each day in this tally chart. Which day has the same number of tally marks as Monday?

Q14:

Using the data given for number of absences, complete the frequency table.

Q15:

Complete the frequency table which shows the marks a group of students received in a test.

Q16:

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

Q17:

The table shows the marks that a class of students received in their mathematics test. How many students are in the class?

Q18:

The tally chart shows the marks that students in a class received in a mathematics test. Using the information from the tally chart, complete the frequency table.

Q19:

Which of the following survey questions is least biased?

Q20:

The table of data shows the heights in centimetres of teachers at a school. Using a frequency table, find the number of teachers who are 175 cm or more.

Q21:

Identify the source of bias in the question: “Do you believe the government should implement measures proposed by the opposition which would ensure that everyone in the country has access to good health care services?”

Q22:

Is the following a survey, an observational study, or an experiment?

A group of students wanted to find out what type of music their schoolmates listen to. They asked their fellow students at random during break time about the types of music they liked and recorded the answers.

Q23:

The table shows the number of days taken off work by 40 workers in a year. By constructing a frequency table or otherwise, calculate the number of workers who took 20 or more days off work.

Q24:

The tally chart shows the marks students received in a mathematics test. How many students received less than 10 marks?

Q25:

The tally chart shows the results of a survey to find the favourite subject in a class. What subject is the least popular?

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