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Topic 7 of 8 · Grade 7

Data handling: graphs and averages

Tally marks and frequency tables.

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Collecting data

Tally marks and frequency tables.

Graphs

Pictograms, bar graphs, line graphs and simple pie charts. Always give a title, label the axes and use an even scale.

Averages

  • Mean: add all the values and divide by how many there are.
  • Mode: the value that appears most often.
  • Median: the middle value when the values are in order.
  • Range: the largest value minus the smallest value.

Worked example: Marks: 6, 8, 5, 8, 9, 7, 6, 8. Find the mean, mode, median and range.

Total = 57; mean = 57 ÷ 8 = 7.125

Mode = 8; in order: 5, 6, 6, 7, 8, 8, 8, 9 → median = (7 + 8) ÷ 2 = 7.5; range = 9 − 5 = 4

Reading graphs

Find the highest and lowest values, totals and differences.

Probability (introduction)

Words like impossible, unlikely, even chance, likely and certain. The chance of getting a head when tossing a coin is ½.

Exam tip: Put numbers in order before finding the median.

Check yourself

  1. Find the mean of 4, 6, 8 and 10.
  2. What is the mode of 3, 5, 5, 7, 9?
  3. What is the chance of rolling a 6 on a fair die?
Show answers
  1. 7
  2. 5
  3. 1/6
Next topicPatterns and simple algebra

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