Averages, Ranges & Comparing Data (Cambridge (CIE) IGCSE International Maths: Core): Flashcards

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  • How do you find the mean of a set of numbers?

Cards in this collection (12)

  • How do you find the mean of a set of numbers?

    To find the mean of a set of numbers:

    1. Add the values together.

    2. Divide by the total number of values.

  • How do you find the median of a set of numbers?

    To find the median of a set of numbers:

    1. Put the numbers in order.

    2. Find the middle number.

    If there are two middle numbers then the median is the midpoint of those numbers.

  • How do you find the mode of a set of numbers?

    The mode of a set of numbers is the value that appears the most.

  • True or False?

    There can be more than one median value in a data set.

    False.

    There can not be more than one median value in a data set. The median is the middle value.

    The only average that can have more than one value is the mode.

  • True or false?

    The mean is affected by extreme values.

    True.

    The mean is affected by extreme values.

  • True or false?

    The median is affected by extreme values.

    False.

    The median is not affected by extreme values.

  • How can you find the total of all data values if you know the mean and the number of values?

    E.g. if the mean of a set of 25 values is 3.7, what is the total of all values in the data set?

    If you know the mean and number of values, you can calculate the total of values by rearranging the mean formula:

    • total space of space values equals mean space cross times space number space of space values

    E.g. if the mean of a set of 25 values is 3.7, then the total of all values in the data set is 3.7 cross times 25 equals 92.5.

  • How can you find the number of data values if you know the mean and the total of the values?

    E.g. if the total of a set of data values is 66 and the mean is 8.25, how many data values are there?

    If you know the mean and total of the data values, you can calculate the number of values by rearranging the mean formula:

    • number space of space values equals fraction numerator total space of space values over denominator mean end fraction

    E.g. the total number of data values in a set of data with a total of 66 and mean of 8.25 is fraction numerator 66 over denominator 8.25 end fraction equals 8.

  • How can you find the new mean of a data set if a new data item is added to the set?

    E.g. a data set of 12 items has a mean of 5.7.
    A new data item of 9.6 is added to the set.
    What is the new mean?

    To find the new mean of a data set if a new data item is added to the set:

    1. Find the total of the current data set: total space of space values equals mean space cross times space number space of space values

    2. Add the new data item

    3. Divide by the new total number of data items

    E.g. for a data set of 12 items and a mean of 5.7, the total of the values is 12 cross times 5.7 equals 68.4.
    Therefore when a new data item of 9.6 is added to the set, the new mean is fraction numerator 68.4 plus 9.6 over denominator 13 end fraction equals 6.

  • How do you find the mean from a frequency table?

    To find the mean from a frequency table:

    1. Include a column for (value cross times frequency).

    2. Add the values in this column.

    3. Divide the sum by the total frequency.

  • How do you find the median from a frequency table?

    To find the median from a frequency table:

    1. Make sure the values in the table are in order.

    2. Find the fraction numerator n plus 1 over denominator 2 end fractionth value, where n is the total frequency.

  • How do you find the mode from a frequency table?

    To find the mode from a frequency table, look for the value with the highest frequency.

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