Compare your answers.

  1. Determine the mean, median, mode and range for the following data.

     

    114 164 185 101 220 103
    152 171 144 161 133 99
    155 132 152 129 108 135

    Mean:

Median:

99, 101, 103, 108, 114, 129, 132, 133, 135, 144, 152, 152, 155, 161, 164, 171, 185, 220



Mode:

152 occurs twice and more often than any other data value, so 152 is the mode.

Range:

  1. Describe how the two sets of data are different.

     

    Data Set 1 Data Set 2
    Mean 102 Mean 51
    Median 108 Median 73
    Mode 115 Mode 64
    Range 29 Range 67


    The centre of Data Set 1 appears to be greater than the centre of Data Set 2
    because all three measures of central tendency are higher for Data Set 1. It also
    appears that the data in Data Set 2 is much more spread out because the range is
    much larger.

 

Â