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Statistics
2003P2Q14
The data in diagram below shows the donations, in RM, of 40
families to their children'sschool welfare fund.
40 23 27 30 20 24 28 35 34 32 35 39 27 1417 33 45 31 29 30 33 21
37 26 38 19 28 3522 39 38 40 32 26 34 22 32 22 28 44
(a) Using the data in the diagram, and a class interval of RM5,
complete the followingtable.
Answer:
Donation (RM) Frequency Cumulative frequency11 1516 20
(b) For this part of the question, use the graph paper
provided.By using a scale of 2 cm to RM 5 on the x-axis and 2 cm to
5 families on the y-axis,draw an ogive based on the data.
(c) From your ogive in (b),(i) find the third quartile,(ii)
hence, explain briefly the meaning of the third quartile.
Answer:
(i) Third quartile = _____________________
(ii)
_____________________________________________________________________________
2004P2Q14
The data in diagram below shows the masses, in kg, of suitcases
for a group of tourists.Each tourist has one suitcase.
27 29 25 22 28 25 16 21 29 26 2729 10 19 16 13 21 23 24 24 25
3127 18 22 33 19 20 14 24 26 27
(a) Based on the data in the diagram and by using a class
interval of 3 , complete thetable provided in the answer space.
(b) Based on the table in (a), Calculate the estimated mean mass
of the suitcases.(c) For this part of the question, use the graph
paper provided.
By using a scale of 2 cm to 3 kg on the x-axis and 2 cm to 1
suitcase on the y-axis,draw a histogram for the data.
(d) State one in formation obtained based on the histogram in
(c).
Answer:
(a) Class Interval Frequency Midpoint10 1213 15
(b)
(d)
___________________________________________________________________________2005
The data in diagram below shows the marks for an English Language
monthly test for 42
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P2Q14
pupils.
51 25 46 33 42 25 47 34 35 38 32 20 45 3738 39 21 26 31 41 37 29
35 48 31 26 42 2843 44 34 28 31 23 36 40 30 38 39 23 22 54
(a) Using the data in the diagram, and a class interval of 5
marks, complete the followingtable.
Answer:Marks Midpoint Frequency
20 24 2225 29
(c) Based on your table in (a),(i) state the modal class,(ii)
calculate the mean marks for the English Language monthly test and
give your
answer correct to 2 decimal places.
Answer
(i)
(ii)
(c) For this part of the question, use the graph paper
provided.By using a scale of 2 cm to 5 marks on the horizontal axis
and 2 cm to 1 pupils on thevertical axis, draw a histogram for the
data.
2006P2Q14
The data in diagram below shows the donations, in RM, collected
by 40 pupils.49 22 27 34 26 30 24 34 37 40 38 33 3 2548 39 39 40 34
25 41 45 43 46 47 45 43 4023 30 45 39 38 35 29 43 31 35 37 28
(a) Based on the data in the diagram and by using a class
interval of 5, complete the tablein the answer space.
(b) Based on the table in (a), Calculate the estimated mean of
the donation collected by apupil.
(c) For this part of the question, use the graph paper
provided.By using a scale of 2 cm to RM 5 on the horizontal axis
and 2 cm to 1 pupil on thevertical axis, draw a frequency polygon
for the data.
(d) Based on the frequency polygon in (c), state one piece of
information about the
donations.Answer:
(a) Class Interval Midpoint Frequency21 25 23 526 30
(b)
(d)
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2007P2Q16
Table shows the frequency distribution of the mass, in kg, of a
group of 80 students.
Mass(kg) Frequency30 34 535 39 840 44 1145 49 2150 54 2255 59
1060 64 3
(a) (i) State the modal class(ii) Calculate the estimated mean
of the mass of the group of students.
(b) Based on table above, complete table in answer space to show
the cumulativefrequency distribution of the masses.
(c) For this part of the question, use the graph paper
provided.By using a scale of 2 cm to 5 kg on the horizontal axis
and 2 cm to 10 students onthe vertical axis, draw an ogive based on
the data.
(d) 25% of all the students in the group have a mass of less
thanp kg. These students
will be supplied with nutritional food. Using the ogive you have
drawn in (c), find thevalue ofp.
Answer
(a) (i)
(ii)
(b)
Upper BoundaryCumulativeFrequency
(d)
