Question

Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Lengths of Longest 3-Point Kick for NCAA Division 1-A Football (in Yards)

47

29

45

51

41

43

53

44

52

46

37

59

51

49

37

42

37

39

37

39

Answer 1

Mean :

Mean = Sum of terms / Number of terms

           = 878 / 20

           = 43.9

• Answer : Mean = 43.9

Median :

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

29   37   37   37   37   39   39   41   42   43   44   45   46   47   49   51   51   52   53   59   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median = ( 43 + 44 ) / 2 = 43.5

• Answer : Median = 43.5

Mode :

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

29   37   37   37   37   39   39   41   42   43   44   45   46   47   49   51   51   52   53   59   

We see that the mode is 37

• Answer : Mode = 37