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Frequency tables

Count how often each value appears in a list.

Practice + answer key · 2 pages

Worksheet settings6 questions · 2 columns · A4
Possible values

Use a range with 2 to 6 distinct integers; missing values still need a frequency of zero.

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Frequency tablesFrequency tables. Practice. Complete the frequency row. Data: 1, 4, 1, 5, 5, 5, 3, 3, 2, 3, 5, 2. Complete the frequency row. Data: 3, 4, 2, 4, 1, 2, 5, 1, 2, 2, 4, 3. Complete the frequency row. Data: 3, 1, 3, 2, 5, 4, 1, 3, 5, 1, 4, 5. Complete the frequency row. Data: 5, 5, 3, 4, 3, 3, 4, 4, 2, 1, 2, 1. Complete the frequency row. Data: 4, 4, 1, 5, 5, 1, 1, 5, 1, 3, 3, 2. Complete the frequency row. Data: 1, 1, 4, 4, 4, 2, 2, 5, 3, 4, 5, 2.Name __________________________Date _______________Frequency tablesComplete the frequency row using the data.Worked exampleData: 1, 2, 2, 3, 1, 2. Find the frequencies of 1, 2, and 3. → 1: 2; 2: 3; 3:11 appears twice, 2 appears three times, and 3 appears once.1.Complete the frequency row. Data:1, 4, 1, 5, 5, 5, 3, 3, 2, 3, 5,2.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__2.Complete the frequency row. Data:3, 4, 2, 4, 1, 2, 5, 1, 2, 2, 4,3.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__3.Complete the frequency row. Data:3, 1, 3, 2, 5, 4, 1, 3, 5, 1, 4,5.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__4.Complete the frequency row. Data:5, 5, 3, 4, 3, 3, 4, 4, 2, 1, 2,1.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__5.Complete the frequency row. Data:4, 4, 1, 5, 5, 1, 1, 5, 1, 3, 3,2.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__6.Complete the frequency row. Data:1, 1, 4, 4, 4, 2, 2, 5, 3, 4, 5,2.Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.ValueFrequency1__2__3__4__5__MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · b018fbd4
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Practice + answer key · 2 pages

Measurement & data

What you’ll practice

Complete frequencies for all values in a stated integer range.

Work through the data one value at a time and record each occurrence. Add your frequencies at the end: their total should match the length of the list.

How this skill works

Make one column for each possible value, including values that do not appear.

Count each observation in its matching column. Add the frequencies to check that they equal the number of observations.

Worked example

Data: 1, 2, 2, 3, 1, 2. Find the frequencies of 1, 2, and 3.
  1. 1 appears twice, 2 appears three times, and 3 appears once.
  2. 2 + 3 + 1 = 6, matching the six observations.

Answer: 1: 2; 2: 3; 3: 1

Teaching notes

  • Write zero for a possible value that is absent.
Practice questions
  1. Complete the frequency row. Data: 1, 4, 1, 5, 5, 5, 3, 3, 2, 3, 5, 2.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

  2. Complete the frequency row. Data: 3, 4, 2, 4, 1, 2, 5, 1, 2, 2, 4, 3.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

  3. Complete the frequency row. Data: 3, 1, 3, 2, 5, 4, 1, 3, 5, 1, 4, 5.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

  4. Complete the frequency row. Data: 5, 5, 3, 4, 3, 3, 4, 4, 2, 1, 2, 1.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

  5. Complete the frequency row. Data: 4, 4, 1, 5, 5, 1, 1, 5, 1, 3, 3, 2.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

  6. Complete the frequency row. Data: 1, 1, 4, 4, 4, 2, 2, 5, 3, 4, 5, 2.

    Frequency table with columns for 1, 2, 3, 4, 5; every frequency is blank.

Answers and steps
  1. 1: 2; 2: 2; 3: 3; 4: 1; 5: 4
    1. Count each value: 1: 2; 2: 2; 3: 3; 4: 1; 5: 4.
    2. The frequencies add to 12, matching the number of observations.
  2. 1: 2; 2: 4; 3: 2; 4: 3; 5: 1
    1. Count each value: 1: 2; 2: 4; 3: 2; 4: 3; 5: 1.
    2. The frequencies add to 12, matching the number of observations.
  3. 1: 3; 2: 1; 3: 3; 4: 2; 5: 3
    1. Count each value: 1: 3; 2: 1; 3: 3; 4: 2; 5: 3.
    2. The frequencies add to 12, matching the number of observations.
  4. 1: 2; 2: 2; 3: 3; 4: 3; 5: 2
    1. Count each value: 1: 2; 2: 2; 3: 3; 4: 3; 5: 2.
    2. The frequencies add to 12, matching the number of observations.
  5. 1: 4; 2: 1; 3: 2; 4: 2; 5: 3
    1. Count each value: 1: 4; 2: 1; 3: 2; 4: 2; 5: 3.
    2. The frequencies add to 12, matching the number of observations.
  6. 1: 2; 2: 3; 3: 1; 4: 4; 5: 2
    1. Count each value: 1: 2; 2: 3; 3: 1; 4: 4; 5: 2.
    2. The frequencies add to 12, matching the number of observations.