Answer:
Step-by-step explanation:
The set of numbers is:
3,9,8,6,3,4,9,2,5,10,8,1
Arranging this set of numbers in the ascending order, we have
1,2,3,3,4,5,6,8,8,9,9,10
The mode is the number which occurs frequently in the set, therefore 3, 8 and 9 are the frequently occurring numbers in the given set, hence there are three modes in total.
The median is the middle number in the given data, since the numbers are even in nature, therefore the median will be the mean of the middle numbers that is:
Median=\(\frac{5+6}{2}\)=\(\frac{11}{2}\)=\(5.5\)
Thus,the median is the mean of 5 and 6.
Mean=\(\frac{1+2+3+3+4+5+6+8+8+9+9+10}{12}\)
=\(\frac{68}{12}\)
=\(5.67\)
Thus, mean is greater than the median.
Hence, The given set has three modes, the median is the mean of 5 and 6 and the mean is approximately 5.67.
