the mean, median and the mode for the following data series: 18, 20, 17, 12, 19, 19, 15, 8, 14, 20, 17, 18 and 11.Comment on the skewness of data distribution.
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8
18, 20, 17, 12, 19, 19, 15, 8, 14, 20, 17, 18 and 11
arranging in ascending order
8 , 11 , 12 , 14, 15 , 17 , 17 , 18 , 18 , 19 , 19 , 20 , 20
Median = 17 ( middle term is 7th )
Mode =there are 4 mode
17 ,18,19,20
Sum= 208
mean = 208/13 = 16
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14
Firstly,
Mean = sum of all observations/ No. of observation
=18+20+17+12+19+19+15+8+14+20+17+18+11 = 208
Mean = 208/13 = 16;
To find median let's arrange the data in ascending order:
8,11,12,14,15,17,17,18,18,19,19,20,20
Median is 17(7th term)
And mode is defined as the entry that has occurred most number of times , but here four entries occurred 2 times( that is maximum). Therefore, they all are mode.
Mode = 17, 18 , 19, 20.
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