Starter quiz
- The sum of the 10 data points in a data set is 180. The mean of this data set is ______.
- '18' ✓
- Match each summary statistic to its value for a data set of: 1, 3, 6, 10, 13, 15, 15.
- mean⇔9 ✓
- median⇔10 ✓
- mode⇔15 ✓
- range⇔14 ✓
- In total, many people are there in this data set?
- 4
- 8
- 9
- 25 ✓
- 72
-
- The table shows the number of pets owned by some volunteers at an animal rescue centre. Calculate the mean number of pets.
- 2.44...
- 5.5 ✓
- 44
- 80.66...
- 242
-
- This grouped frequency table shows the length of grass in different people’s gardens. What does the highlighted row of this grouped frequency table mean?
- 15 people had grass 20 cm long, and 15 people had grass 40 cm long.
- 15 people had grass 20 cm long.
- 15 people had grass between 20 cm and 40 cm long. ✓
- 30 people had grass 15 cm long.
-
- The average expected range of this data set is ______.
- '580' ✓
Exit quiz
- What is the midpoint of this interval?
- 2
- 3
- 30
- 35 ✓
- 39
-
- An estimate for the total number of litres used by the 10 people who each used between 40 and 60 litres is ______ litres.
- '500' ✓
- Which of these statements are correct?
- has an estimated value of 405
- has an estimated value of 2000 ✓
- has an estimated value of 7500 ✓
- has an estimated value of 75000
- Estimates of and cannot be found
-
- A supermarket manager records the total number of shoppers each day for a month. The table shows her results. The estimate for the total number of shoppers in this data set is ______ shoppers.
- '5950' ✓
- Both and are the totals of their columns. Which of these statements are correct?
- = 3
- = 62 ✓
- = 3
- = 170
- = 2520 ✓
-
- The table shows some pupils' marks in an exam. The estimated mean score to the nearest integer is ______ marks.
- '54' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The mean is a measure of central tendency.
- The mean can only be estimated with a grouped frequency table.
- Calculating this from a grouped frequency table may be easier when the data is very large.
Common misconception
That estimation is guessing.
Estimation is a process with each step being logical. In this case the estimation is necessary because some of the detail is lost in a grouped frequency table.
Keywords
Frequency - The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.
Interval - An interval is all the values between two points. e.g. 4 < x ≤ 10
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