Statistic and Probability exercise

7/24/2019 Statistic and Probability exercise

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STATISTIC AND PROBABILITY


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THESE DATA REPRESENT THE SIZE OF WAIST (INCHES) OF 30

STUDENTS OF POLYTECHNIC UNGKU OMAR.

38 30 41 42 30 27

29 32 29 40 34 28

29 34 31 29 29 28

32 36 29 26 35 32

40 32 32 28 40 34


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i. Highe! "#$%e & '

L*e! "#$%e & +

ii. R#,ge & highe! "#$%e - $*e! "#$%e & '3+

& /+

iii. N. 1$# &/23.3 $g N

& /23.3 $g 30

& .45 6 +

i". C$# *i7!h & 8#,ge9,%:;e8 1$#

& /+9+ & .++ 6 3

". S!#8!i,g


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FREQUENCY TABLE

Class

limit

Class

boundary

Midpoint Tally Freuen

!y

Cumulati

"eFreuen!

y

Relati"e

#reuen!y

$%&$' .4 5 $$$$$ 0.

$(&)* 4.3/. 30 $$$$$ $$$$ = /' 0.3

)$&)+ 3/.3'. 33 $$$$$ $$$ 4 0.+

),&)- 3'.35. 3+ $$ ' 0.0+

)'&+. 35.'0. 3= $$$$ ' 4 0./3

+*&+) '0.'3. ' $$ 30 0.03


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c)Me#, & 7) M7#$ 1$# i = - 3/

& e) M7e 8: hi!g8#: i 30.=

& 3.3 i,1h

Me7i#, & L: 2 C

& 3/. 2 3

& 3/.45 i,1h M7e & L: 2 C

& 4. 2 3

& 30.= i,1h


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OGIVE

Class

limit

Class

boundary

Midpoint Frequenc

y

Relative

frequency

Cumulati

ve

frequency

26-28 25.5-28-5 27 5 0.2 6 135

29-31 28.5-31.5 30 9 0.3 15 270

32-34 31.5-34.5 33 8 0.26 23 264

35-37 34.5-37.5 36 2 0.06 25 72

38-40 37.5-40.5 39 4 0.13 29 156

41-43 40.5-43.5 42 2 0.03 30 84

30 981

Class

limit

Class

boundary

Midpoint Frequenc

y

Relative

frequency

Cumulati

ve

frequency

26-28 25.5-28-5 27 5 0.2 6 135

29-31 28.5-31.5 30 9 0.3 15 270

32-34 31.5-34.5 33 8 0.26 23 264

35-37 34.5-37.5 36 2 0.06 25 72

38-40 37.5-40.5 39 4 0.13 29 156

41-43 40.5-43.5 42 2 0.03 30 84


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g) Median = 31.95

1stquartile = 29.95

3rdquartile = 35.7

Interquartile range = 35.7 29.95 = 5.75

1stdeciles = 27.15

90thpercentile = 40.05

h) i. How many students whose have size of more than 35?

5 students.

ii. How many students whose have size of less than 32?

15 students.


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Midpoint/ Freuen!y

/

$- /3 .5 3.'= 4. /+.'). = 50 .5 5.= '.3 +.+/)) 4 +' 0.3 0.0= .' 0.5)% 5 3.3 /0.4= +.+ /.54

)( ' /+ +.3 3=.+= . /4.5++$ 4' =.3 4+.'= /4.+ /5.=4

30 =4/ /0.+ 4.3

$- /3 .5 3.'= 4. /+.'). = 50 .5 5.= '.3 +.+/)) 4 +' 0.3 0.0= .' 0.5)% 5 3.3 /0.4= +.+ /.54

)( ' /+ +.3 3=.+= . /4.5++$ 4' =.3 4+.'= /4.+ /5.=4


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Me#, &

&=4/930 & 3.5

Me#, 7e"i#!i, &

& /0.+930 & 3.

>#8i#,1e &

& 4.39= & 0.04

S!#,7#87 7e"i#!i, & '.'4


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Statistic and Probability exercise

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