Answer:
The correct option is D.
Step-by-step explanation:
From the given figure it is clear that two dots above 2, three dots above 3 five dots above 4, three dots above 5, and two dots above 6. It means the data set is
2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6
Total number of observations = 15
Therefore option D is correct.
15 is an odd number, so the median of the data is
[tex]Median=\frac{(\frac{n+1}{2})th}{2}[/tex]
[tex]Median=\frac{(\frac{15+1}{2})th}{2}=8th[/tex]
The 8th term of the data is 4, therefore the median of the data is 4. Option A is incorrect.
The mean of the data is
[tex]Mean=\frac{\sum x}{n}=\frac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}=\frac{60}{15}=4[/tex]
The mean of the data is 4. Option B is incorrect.
Range of the data is
[tex]Range=Maximum-Minimum[/tex]
[tex]Range=6-2=4[/tex]
Range of the data is 4. Option C is incorrect.
