Answer:
Te difference between the mean and the median is 0.19.
Step-by-step explanation:
Given data is,
1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9
Since,
[tex]\text{Mean}= \frac{\text{Total sum of the all observations}}{\text{Total number of the observations}}[/tex]
[tex]=\frac{1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9}{21}[/tex]
[tex]=4.19047619048\approx 4.19[/tex]
Now, Mean = The middle term when the data is arranged in ascending order,
1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9
So, mean = 4,
Hence, the difference between the mean and the median of the following distribution = 4.19 - 4 = 0.19,
Second option is correct.
