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Form 5 group 4 Statistics Quiz
Name: _________________________________________________
Due: on the 19th November at 3:00 p.m.
INSTRUCTIONS:
1. Attempt ALL two (2) questions in your notebooks, file page, or preferably
on this document.
2. Show ALL working.
3. Students are to take well-lit pictures of their responses to each question,
and upload them to the Google Classroom by the given deadline above.
Pictures must be taken “right-side-up” i.e. the text must be displayed from
left to right in the original image.
4. Only handwritten work will be marked. Typed responses will receive a
grade of zero (0).
5. you are to provide your own graph paper
1 . T h e h e i g h t s o f 40 a t h l e t e s i n a c o u n t y a t h l e t i c s c o mp e t i t i o n
w e r e a s s h o wn i n t h e t a b l e b e l o w .
Height cm
150-159
160-169
170-179
180-189
190-199
200-209
Frequency (𝒇)
2
8
10
𝑦
6
2
∑(𝒇)
Mid-point (𝒙)
154.5
(𝒇 × 𝒙)
309
∑(𝒇 × 𝒙)
40
a) F i n d t h e v a l u e o f 𝑦.
[1 Mark]
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b) S t a t e t h e mo d a l c l a s s
[1 Mark]
c) C o mp l e t e t h e t a b l e ( e x c l u d e t h e g r a y s h a d e d a r e a s )
[3 Marks]
d) Calculate
i. An estimate of the mean height of the athletes [2 Marks]
ii. Write down the interval containing the median time.
[1 Mark]
iii. An athlete was chosen at random. Find the probability
that this athlete is less than 170 cm tall.
[1 Mark]
2. Bob asked each of 40 friends how many minutes they took to get to work.
The table shows some information about his result
Time taken t
minutes
0 < 𝑡 ≤ 10
10 < 𝑡 ≤ 20
20 < 𝑡 ≤ 30
30 < 𝑡 ≤ 40
40 < 𝑡 ≤ 50
Frequency
3
8
11
9
9
Using the same information from the table above, Bob drew a cumulative
Frequency table.
Time taken t
minutes
0 < 𝑡 ≤ 10
10 < 𝑡 ≤ 20
20 < 𝑡 ≤ 30
30 < 𝑡 ≤ 40
40 < 𝑡 ≤ 50
Upper
boundary
Time
10
a) Complete the table.
Frequency
Cumulative
Frequency
Points to plot
3
8
11
9
9
3
11
(10,3)
[3 Marks]
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b) Using 2cm =10 minutes on the horizontal axes and 2cm = 10
people on the vertical axes draw a cumulative frequency curve on
graph paper.
[5 Marks]
c) Using your graph and find:
i. The median time
[1 Mark]
ii. The interquartile range
[1 Mark]
iii. The number of friends who took more than 35 minutes to
get to work.
[2 Marks]
End of quiz assessment.