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EVERYTHING YOU NEED TO KNOW
TO GET A GRADE C
STATISTICS
(FOUNDATION)
Striped
Striped
Grey
Grey
Striped
Grey
Striped
Grey
2 matching pairs out of 6
Total pens = 6 + 69 + 25 = 100
% means ‘out of 100’
31
7
9
7
9
11
9
11
13
9
11
13
15
11
13
15
17
Three numbers less than 6 out of twenty in the red box
15 winners
÷
Takings = 100 x £0.20 = £20
Cost of chocolate bars = 15 x £0.50 = £7.50
Takings – Cost = £20 - £7.50 = £12.50
Part (c)
B
1
D
Median is the middle
when the numbers
are placed in order
4 5 5 5 6 7 8 9 10
6
Three numbers are 5 out of nine numbers altogether
C, A, B
2
3
0
4
1
2
6
3
One number is negative out of twelve in the red box
Five numbers are more than 3 out of twelve in the red box
7
4
12
Five numbers are 6 out of thirty-six in the red box
Six outcomes for when the number is the same on both dice out of thirty-six in the red box
4 and 9 are the square numbers inside the red box
0
0
0
Five numbers are 0 out of nine in the red box
0
1
2
0
2
4
10
12
10
12
14
10
12
14
16
10
12
14
16
Three numbers are 16 out of twenty-five in the red box
The square numbers in the red box are 4 and 16.
The cube number in the red box is 8.
Therefore, the probability of getting a square number is higher.
12
14
16
Male
Female
Red
Yellow
Green
3
2
2
1
2
3
5+
Question is too vague
Too small a sample size
Answer response choices overlap
Method 2, since all patients have an
equal chance of being surveyed
Longer taxi rides always cost more and cost
per mile should be about same
4.80
14
Yes, because it is positive correlation
It is an outlier. It does not follow
the pattern.
56
56 - 40
16
Very small sample size.
Positive correlation. The higher the temperature, the more ice creams sold.
x
x
x
x
x
x
x
x
Negative correlation. The older the person, the quicker the reaction time.
Negative
No
64
Median is the middle
when the numbers
are placed in order
25 26 28 30 35 39
29
30.5
Two members of the team of five have names beginning with J
Mode is the number
which occurs most often
Mode = 5
=6
The mean is one higher than the mode
Range = Biggest - Smallest
76 - 16
60
Mode is the number
which occurs most often
16
16 still occurs the most
Range = Biggest - Smallest
19 - 8
11
13
The men’s range is 11 and the women’s range is 14. The men’s number of driving
lessons taken are more consistent.
The men’s mean is 13 and the women’s mean is 9. The men have more lessons on
average.
Median is the middle 200 200 250 350 520
when the numbers
are placed in order
350
620 800
420
Average is for the whole company
and not just the mechanic.
Mode is the number
which occurs most often
200
0 0 1 1 1 3 4 4 6 20
2
4
Median as it is not distorted by the outlier (20).
Median is the middle
when the numbers
are placed in order
Mode is the number
which occurs most often
Mode = 1
1 1 2 3 4
Median = 2
5,5 gives 5, 5, 5, 5, 6
Median = mode = 5
6,6 gives 5, 5, 6, 6, 6
Median = mode = 6
Median is the middle
when the numbers
are placed in order
5,6 gives 5, 5, 5, 6, 6
Median = mode = 5
1pm
10
Friday – because there were more people waiting on this day.
OR
Cannot tell – as one set of data for each day is insufficient.
A full pie adds up to 360°
£600
4 quarters make a full pie
4 x £600
2400
126
°
105
°75°
30°
24°
Total =
360°
120
Angle blue
Number blue =
of 120
Cancel down
01 5
Angle in a full pie
Number blue = of 120
8 1 12 40
15
Red
White
Silver
Blue
Angle in a
full pie
x
x
= 10
÷
÷
= 15 Eels and Pike = 30 – 10 - 15
5
Angle in a
full pie
Total =
800
Other
Dentists
Doctors
Hospitals
=
% means ‘out of 100’
=
30
108
°120
°
72°
60°
Total =
60
360°
Smallest = 18
Biggest = 54
Therefore, the stem goes from 1 to 5
Angle in a
full pie
Obstacle
Sack
1 8
Egg and
Spoon
2 39
3 6 69
3 - legged
4 13 4
5 4
22.1
Range = Biggest - Smallest
59 - 1
58
Count the number of leaves
42
13
Median is the middle when the numbers are placed in order
15
62 - 27
35
Midpoint
Plot midpoint with
number of workers
7500
12500
17500
22500
27500
x
x
x
x
x
18 + 3 = 21 earn over £20000
Total =
x
x
x
x
x
40
FX
80
180
84
60
20
424
CF
10
28
35
39
40
Do not need to work
out the midpoint as it
is an ungrouped table
In this
group
10.60
Modal fee is the one with the highest frequency
Modal fee = 10
Median is middle. Add cumulative frequency (CF) column and calculate.
Median = 20.5th term
Median fee = 10
Midpoint
FX
3
45
9
225
15
300
21
252
27
216
1038
80
Total =
Mean =
1038
80
= 13.0 mins (1d.p.)
(Total 3 marks)
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