Mean = -2
Median = -1
Mode = Nil
Range = 38
Step-by-step explanation:
Given data is:
-18, 10, -20, -11, 9, 18
Arranging the data in ascending order
-20, -18, -11, 9, 10, 18
Mean:
Mean is given by the formula
[tex]Mean=\frac{Sum}{items}[/tex]
Items are: 6
[tex]Mean = \frac{-20-18-11+9+10+18}{6}\\= \frac{-12}{2}\\= -2[/tex]
Mode:
Mode is the most frequent value in the data. So,
As there is no value repeated in the data. There is no mode
Median:
Median is the middle value of the data. As the no. of data value are even,
the average of middle 2 values is mode.
Note that the data has to be arranged in ordered to find median
Here,
[tex]Median = \frac{-11+9}{2}\\=\frac{-2}{2}\\= -1[/tex]
Range:
Range is the difference between the largest and smallest value of the data
Here
Largest value = 18
Smallest value = -20
So,
[tex]Range = Largest\ value-Smallest value\\= 18-(-20)\\= 18+20\\=38[/tex]
Hence,
Mean = -2
Median = -1
Mode = Nil
Range = 38
Keywords: Data, Median
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