Frequency distribution:

The desk down below is made up of data gathered:

Date

MINUTES TO Generate TO Do the job

MON/five OCT

thirty MIN

TUES/six OCT

thirty MIN

WED/seven OCT

twenty MIN

THURS/8 OCT

twenty MIN

FRI/nine OCT

Sick Leave/DID NOT GO TO Do the job

MON/twelve OCT

COLUMBUS Day/DID NOT GO TO Do the job

TUES/thirteen OCT

Sick Leave/DID NOT GO TO Do the job

WED/fourteen OCT

Sick Leave/DID NOT GO TO Do the job

THURS/15 OCT

Sick Leave/DID NOT GO TO Do the job

FRI/sixteen OCT

Sick Leave/DID NOT GO TO Do the job

We assume that for the times that the personal did not report to operate the minutes taken to drive to operate amount of money to zero, consequently the desk is summarized as follows:

Date

MINUTES TO Generate TO Do the job

MON/five OCT

thirty MIN

TUES/six OCT

thirty MIN

WED/seven OCT

twenty MIN

THURS/8 OCT

twenty MIN

FRI/nine OCT

MON/twelve OCT

TUES/thirteen OCT

WED/fourteen OCT

THURS/15 OCT

FRI/sixteen OCT

The frequency distribution desk will include 3 courses and they include the course to 10, 11 to 21 and 22 to 32, the desk down below summarizes the frequencies:

course

frequency

to 10

six

11 to 21

two

22 to 32

two

whole

10

Common deviation:

The normal deviation for grouped data is calculated as follows:

Sd = [(FX2/ f) – (Forex/F)two]½

The desk down below summarizes the midpoints of the courses and calculations designed to ascertain the normal deviation:

x

course

Frequency(Forex)

mid point

Forex

FX2

to 10

six

five

thirty

900

11 to 21

two

sixteen

32

1024

22 to 32

two

27

54

2916

whole

10

116

4840

Supplied

Sd = [(FX2/ f) – (Forex/F)two]½

Then

Sd = [(4840/ 10) – (116/10)two]½

Sd = eighteen.69331

Standard distribution:

The central restrict theorem givens the conditions and attributes of a normal distribution, they include:

sixty eight% of data is contained in just one normal deviation, ninety five% of the data is contained in two normal deviations, the signify worth is decided as follows:

Signify = Forex/F

Signify = 116/ 10 = 11.six

sixty eight% of observations:

Common deviation = eighteen.69331

Signify = 11.six

Range of data

(11.six+ eighteen.69331) and (1.six – eighteen.69331)

(thirty.29331) and (-seven.09331)

From our scenario data that ranged from -seven.09331 to thirty.29331 is increased than sixty eight%, consequently the distribution is not a normal distribution.

Implications:

Supplied that this is not a normal distribution this signifies that statistical checks that assume normal distribution are unable to be utilized, also this signifies that the sample is not significant plenty of given that the central restrict theorem states that as the range of random figures increase the data assumes a normal distribution.

Reference:

Mendenhall, W. (2003) Introduction to stats, Prentice Hall push, New Jersey

By Charles Kelly