The entire twenty-person squad kicked the ball in the air. The distances the ball was kicked were (measured in yards) as follows:

Question

The entire twenty-person squad kicked the ball in the air. The distances the ball was kicked were (measured in yards) as follows:

41, 52, 63, 35, 43, 51, 54, 48, 65, 38,

31, 45, 47, 54, 53, 62, 59, 42, 40, 39

Determine the mode interval as intervals of ten (see example below).

Determine what percentage of the distances were 49 yards or less.

Input your answers in the order above, using commas to separate the answers.

Do not use spaces.

Example: 

20-30,25%

or

20-29,25%

Answer 1

Sorting....

31, 35, 38, 39, 40, 41, 42, 43, 45, 47, 48, 51, 52, 53, 54, 54, 59, 62, 63, 65

sorting is triple checked... I copied and pasted your data, and did a selection

sort from the copy.

Then I copied and pasted the data again, and removed each stat in the copy

that is found in the sorted list. I then compared the sorted list again

against the original list of stats. It is triple checked.

I copied and pasted the data into excel, then did TEXT to columns.

The mean average is 48.1

the standard deviation is 9.667635

the mode is 54

the median is 47.5

11 of the 20 stats are Less than 49. That's 55%

in windows of 10:

30-39: 4/20 = 1/5 = 20%

40-49: 7/20 = 35%

50-59: 6/20 =3/10 = 30%

60-69: 3/20 = 15%

mean + stddev = 57.767635

mean - stddev = 38.432365

13 of the 20 stats lie within 1 standard deviation

of the mean average which is 65%

These stats are normally distributed