Question

In: Math

Miles Freq 0-4 3 5-9 14 10-14 13 15-19 4 Select the most appropriate sentence corresponding...

Miles  Freq
 0-4     3
 5-9    14
10-14   13
15-19    4

Select the most appropriate sentence corresponding to two standard deviations.

*About 68% of students drive between 5.5212 miles and 13.7730 miles to somewhere
*At least 88.9% of students drive between -2.7306 miles and 22.0248 miles to 
*About 99.7% of students drive between 1.3953 miles and 17.8989 miles to 
*About 68% of students drive less than 22.0248 miles to
*About 95% of students drive between 5.5212 miles and 13.7730 miles to
*About 99.7% of students drive between -2.7306 miles and 22.0248 miles to
*About 68% of students drive between 1.3953 miles and 17.8989 miles to
*About 99.7% of students drive between 5.5212 miles and 13.7730 miles to
*At least 75% of students drive between -2.7306 miles and 22.0248 miles to
*At least 75% of students drive less than 22.0248 miles to
*About 95% of students drive between 1.3953 miles and 17.8989 miles to
*At least 75% of students drive between 1.3953 miles and 17.8989 miles to
*About 95% of students drive less than 22.0248 miles to 
*At least 88.9% of students drive between 1.3953 miles and 17.8989 miles to
*About 99.7% of students drive less than 22.0248 miles to
*About 95% of students drive between -2.7306 miles and 22.0248 miles to
*At least 88.9% of students drive less than 22.0248 miles to
*About 68% of students drive between -2.7306 miles and 22.0248 miles to

Solutions

Expert Solution

Step 1:

To find mean () and SD() for the given data:

x                 f           fx          x -                         (x - )2                 f (x - )2

2                3          6           - 7.647                       58.478                  175.433

7                14        98         - 2.647                        7.007                    98.097

12              13          156    2.353                          5.536                    71.972

17              4          68        7.353                        54.066                    216.263

---------------------------------------------------------------------------------------------------------------------

Total         34          328        -                                 -                     561.965

Mean = =

Variance = =

SD = =

So,

the most appropriate sentence is:

About 95 of students drive between 1.3953 miles and 17.8989 miles to


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