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Geographical Skills

Measures of central tendency and dispersion

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the mean, median and mode with a worked example, when each average is most useful, the range and interquartile range, standard deviation and a worked calculation, telling till from outwash by clast size spread, dispersion diagrams, box and whisker plots, comparing sites with equal means, and skewed data.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Process

Why is standard deviation a more reliable measure of spread than the range?

Evaluation

Define the range, and state its main weakness.

Process

How can the standard deviation of clast size distinguish till from outwash?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the mean, the median and the mode.

    Model answer

    The mean is the sum of the values divided by the number of values, the median is the middle value when the data are placed in order, and the mode is the value that occurs most often.

  2. 2

    The long axes of seven pebbles measure 9, 11, 12, 15, 15, 16 and 20 cm. Calculate the mean, the median and the mode.

    Model answer

    The mean is 14 cm, because the values sum to 98 and 98 ÷ 7 = 14, the median is 15 cm, and the mode is also 15 cm.

  3. 3

    Why is the median often a better average than the mean for field data?

    Model answer

    The median is not pulled by extreme values, so a single boulder in a sample of beach pebbles would inflate the mean but barely affect the median.

  4. 4

    When is the mode the most useful average?

    Model answer

    When the data fall into categories rather than being measured on a scale, such as the most common land use along a transect or the most frequent roundness class of pebbles.

  5. 5

    Define the range, and state its main weakness.

    Model answer

    The range is the difference between the highest and lowest values, and because it uses only those two figures a single extreme value distorts it.

  6. 6

    What is the interquartile range?

    Model answer

    The interquartile range is the difference between the upper quartile and the lower quartile, so it measures the spread of the middle 50% of the data and ignores extreme values.

Other ways to work this

The same content, four other ways.

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Six ways to work the same material.

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The 3-step method, run for you

Answer cold, learn it, then prove it stuck. Levo tracks the jump between your first attempt and your last.

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Cram a whole paper in one sitting

Sort every topic into what you know and what you do not, then drill only the weak ones.

Hotter magma is .
runnierthickerslower

Blank Blitz makes facts automatic

Rapid timed gap-fills on the terms and numbers you need to recall without thinking.

AThe lower quartile is the 2nd value, 11 cm.
BThe upper quartile is the 6th value, 16 cm.
CThe interquartile range is 16 − 11 = 5 cm.

Build It gets the exam shape right

Assemble a full-mark answer from its marking points, in the order an examiner wants them.

The sunspot cycle lasts about 11 years.
TrueFalse

Test It catches misconceptions

Spot the fault in a statement. The traps are the mistakes students actually make.

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Brain Breaks between sessions

Short focus games to reset attention, so the next set lands better than the last.

Every question in Geographical Skills, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

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