Mathematics Grade 6 15 min

Create frequency tables

Create frequency tables

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1

Introduction & Learning Objectives

Learning Objectives Define 'data', 'frequency', and 'frequency table'. Collect and organize raw data into categories. Construct a tally chart using appropriate tally marks. Convert a tally chart into a numerical frequency table. Interpret information presented in a frequency table. Identify the mode (most frequent item) from a frequency table. Ever wonder how your favorite sports team tracks wins and losses, or how a store knows which toy is most popular? 📊 It all starts with organizing information! In this lesson, you'll learn how to take a jumble of information, called 'raw data,' and turn it into a neat, organized 'frequency table.' This skill helps us quickly understand what's happening in a group of numbers o...
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Key Concepts & Vocabulary

TermDefinitionExample DataInformation or facts collected for analysis. It can be numbers, words, measurements, observations, or descriptions.A list of favorite colors from your classmates: Red, Blue, Green, Red, Yellow, Blue. Raw DataData that has just been collected and has not yet been organized or processed in any way.The unorganized list of ages of students in a club: 11, 12, 11, 13, 12, 11, 12, 13, 11. FrequencyThe number of times a particular item, value, or category appears in a set of data.If 'Red' appears 5 times in a list of favorite colors, its frequency is 5. Tally MarkA short line or stroke used to count items. For every fifth item, the mark is drawn diagonally across the previous four to create a group of five.|||| <s>||||</s> represents 4 + 5 = 9 items...
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Core Formulas

Rule for Tallying Data For each piece of data, make one vertical tally mark (|). When you reach the fifth mark for a category, draw it diagonally across the previous four marks to form a group of five (<s>||||</s>). This rule helps you count efficiently and accurately, especially with larger datasets, by grouping tallies into easily countable sets of five. Rule for Constructing a Frequency Table A standard frequency table includes three main columns: 1. **Category/Item**: Lists all distinct items or values from your data. 2. **Tally**: Shows the tally marks for each category. 3. **Frequency**: Shows the numerical count (total of tally marks) for each category. Always label your columns clearly. Ensure every distinct category from your raw data is listed, even if...

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Sample Practice Questions

Challenging
In the 'Favorite Animals' example, the frequency of 'Dog' was 7. If three more students were surveyed and they all chose 'Cat', what would the new mode of the data set be? (Original frequencies: Dog=7, Cat=4, Fish=3, Bird=2)
A.Cat
B.Dog and Cat would be the modes (bimodal).
C.The mode would not change; it would still be Dog.
D.Fish
Challenging
In a survey about favorite hobbies, the frequency of 'Reading' was 6. The frequency of 'Sports' was twice the frequency of 'Reading'. The frequency of 'Video Games' was 4 less than 'Sports'. What is the tally for 'Video Games'?
A.<s>||||</s> ||
B.<s>||||</s> <s>||||</s>
C.<s>||||</s> |||
D.<s>||||</s> |||
Challenging
A student created the following frequency table from the raw data: 5, 6, 5, 7, 6, 5, 5. What is wrong with the row for the number '5'? | Number | Tally | Frequency | |--------|--------|-----------| | 5 | |||| | 4 | | 6 | || | 2 | | 7 | | | 1 |
A.The frequency is correct, but the tally is wrong.
B.The tally is correct, but the frequency is wrong.
C.Both the tally and the frequency are correct for the number '5'.
D.The tally should be a group of five (<s>||||</s>).

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