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Statistics Concepts Summary

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Statistics Concepts Summary

Use the data in each question to find the mean, median, mode or range. Show your working where space is provided.

Statistics at a glance

Mean: add the values and divide by how many values there are. Median: put the values in order and find the middle; with an even number of values, average the two middle values. Mode: the value or values that occur most often. Range: largest value minus smallest value.

Work out the measures

For each data set, calculate the mean, median, mode and range. If there is no mode, write “no mode”.

1.Find the mean, median, mode and range of the scores: 3, 6, 6, 9, 4, 8, 6.
2.A week of temperatures in Adelaide was recorded as 18°C, 21°C, 19°C, 23°C, 21°C, 17°C and 22°C. Calculate the mean, median, mode and range, including the correct units where needed.
3.Which measure of central tendency is usually changed the most by one extremely high or low value?
  • Mean
  • Median
  • Mode
  • Range
4.Eight cricket scores were 142, 176, 153, 189, 142, 165, 201 and 176. Find the mean, median, mode and range. State both modes if there is more than one.

Read the class survey

The table shows how many books four students read during the holidays.

Student

Books read

Aria

2

Sienna

5

Isla

3

Luca

6

5.Using the holiday reading table, calculate the mean number of books read.
6.Using the holiday reading table, find the range of books read.

Choose and explain

Use the four measures to describe data and decide which measure best fits a situation.

7.Fill the blank with mean, median, mode or range. The is calculated by adding all values and dividing by the number of values.
8.Fill the blank with mean, median, mode or range. The is the middle value after ordering the data.
9.Fill the blank with mean, median, mode or range. The is the most frequently occurring value.
10.Fill the blank with mean, median, mode or range. The is the difference between the largest and smallest values.
11.Match each purpose with the most suitable measure: finding the most common shoe size; finding a typical result when a few test scores are unusually low; describing the spread of a set of values; finding the average amount collected by a fundraiser.
  • Finding the most common shoe size
  • Finding a typical result when a few test scores are unusually low
  • Describing the spread of a set of values
  • Finding the average amount collected by a fundraiser
  • Range
  • Mean
  • Median
  • Mode
12.The data set 4, 4, 7, 9, 12 has a mean of 7.2 and a median of 7. Add 30 to the set. Which measure of central tendency changes more, the mean or the median? Give the new values to support your answer.

3 printable pages

  • Statistics Concepts Summary, page 1 of 3: Statistics at a glance, Work out the measures

    Page 1

  • Statistics Concepts Summary, page 2 of 3: Read the class survey, Choose and explain

    Page 2

  • Statistics Concepts Summary, page 3 of 3: 10. Fill the blank with mean, median, mode or range. The is the difference between

    Page 3

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