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)30 52 30 33 32 34 29 45 43 30 58 42 55 48 37 49 59 41 51 28 Answer Separate multiple answers with commas, if necessary.

Answer 1

Solution:

Given that,

30 52 30 33 32 34 29 45 43 30 58 42 55 48 37 49 59 41 51 28

1st arrange data lowest to highest

28, 29, 30, 30, 30, 32, 33, 34, 37, 41, 42, 43, 45, 48, 49, 51, 52, 55, 58, 59

The mean of sample is   

x/n =  (28 +29+ 30+30 +30+32+33+34+37+ 41+ 42+ 43+ 45+ 48+49+51+ 52+ 55+ 58+ 59 / 20)

= 41.3

The sample mean is 41.3

median = median is the middle most observation of data set

28, 29, 30, 30, 30, 32, 33, 34, 37, 41, 42, 43, 45, 48, 49, 51, 52, 55, 58, 59

median = 41 + 42 / 2

median = 41.5

mode = it is represent the repeated value in data set

28, 29, 30, 30, 30, 32, 33, 34, 37, 41, 42, 43, 45, 48, 49, 51, 52, 55, 58, 59

mode = 30