Question

Find the Mode, Median, mean, and range for each data set. Round to the mean to two decimals places,where necessary.

Answer 1

Mean = 6.09

Mode = 6

Range = 7

Median = 6

Explanation:

Mode = number that appears the most

The number 6 appears 3 times which is the most when compared to the other numbers, which means that mode = 6

Range = Difference between lowest number and highest number ( in terms of value )

The highest number of the set is 10 and the lowest number is 3

Thus, range = 10 - 3 = 7

Range = 7

Median = middle number in terms of value

To make it easier to find the middle number lets order the number from least to greatest,

3, 3, 5, 5, 6, 6, 6, 7, 7,9,10

Now we go to the middle number, which would be 6

Thus, median = 6

Mean = average

The mean can be calculated by dividing the sum of the values by the total number of values

Sum of values = 3 + 3 + 5 + 5 + 6 + 6 + 6 + 7 + 7 + 9 + 10 = 67

And there are a total of 11 values

Thus mean = 67 / 11 which equals = 6.090909091

Finally we round to the nearest hundredth,

We get that mean = 6.09

Answer 2

mode is 6 because it has more frequency or repeated ones

median =[9+7+5+5+6+6+3+10+7+6+3)/11=67/11=6.09

median= 6.09 .

range is=greater- smaller= 10-3=7