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EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

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Page 1: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

EVERYTHING YOU NEED TO KNOW TO GET A GRADE C

STATISTICS

(FOUNDATION)

Page 2: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Striped StripedStriped GreyGrey StripedGrey Grey

2 matching pairs out of 6

Page 3: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Total pens = 6 + 69 + 25 = 100

% means ‘out of 100’

31

Page 4: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

9 117 9 11 13

7 9 11 13 159 11 13 15 17

Three numbers less than 6 out of twenty in the red box

÷

x15 winners

Cost of chocolate bars = 15 x £0.50 = £7.50

Takings = 100 x £0.20 = £20 Takings – Cost = £20 - £7.50 = £12.50

Page 5: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

B

1

D

Part (c)

Page 6: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Median is the middle when the numbers are placed in order

4 5 5 5 6 7 8 9 106

Three numbers are 5 out of nine numbers altogether

C, A, B

Page 7: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

2 3 4 6 70 1 2 3 4

One number is negative out of twelve in the red box

Five numbers are more than 3 out of twelve in the red box

Page 8: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

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

Page 9: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

0 0 00 1 20 2 4

Five numbers are 0 out of nine in the red box

Page 10: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

10 1210 12 14

10 12 14 1610 12 14 1612 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.

Page 11: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Red Yellow Green

Male

Female

3 2 22 1 3

Page 12: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Question is too vague

Answer response choices overlap

5+

Too small a sample size

Method 2, since all patients have an equal chance of being surveyed

Page 13: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Longer taxi rides always cost more and cost per mile should be about same

4.80

14

Yes, because it is positive correlation

Page 14: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

It is an outlier. It does not follow the pattern.

56

56 - 4016

Very small sample size.

Page 15: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Positive correlation. The higher the temperature, the more ice creams sold.

Page 16: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

x

x xx

x xx

x

Negative correlation. The older the person, the quicker the reaction time.

Page 17: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Negative No

64

Page 18: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Median is the middle when the numbers are placed in order

25 26 28 30 35 3929

30.5

Two members of the team of five have names beginning with J

Page 19: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Mode is the number which occurs most oftenMode = 5

= 6

The mean is one higher than the mode

Page 20: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Range = Biggest - Smallest

76 - 16

60

Mode is the number which occurs most often

16

16 still occurs the most

Page 21: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Range = Biggest - Smallest

19 - 811

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.

Page 22: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Mode is the number which occurs most often

200

Median is the middle when the numbers are placed in order

200 200 250 350 520 620 800

350

420

Average is for the whole company and not just the mechanic.

Page 23: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

0 0 1 1 1 3 4 4 6 20Median is the middle

when the numbers are placed in order

2

4

Median as it is not distorted by the outlier (20).

Page 24: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Mode is the number which occurs most often

Median is the middle when the numbers are placed in order

Mode = 1 1 1 2 3 4

Median = 2

5,6 gives 5, 5, 5, 6, 6Median = mode = 5

5,5 gives 5, 5, 5, 5, 6Median = mode = 5

6,6 gives 5, 5, 6, 6, 6Median = mode = 6

Page 25: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

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.

Page 26: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

A full pie adds up to 360°

£600

4 quarters make a full pie4 x £600

2400

Page 27: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Number blue =

Angle blue

Angle in a full pie

of 120

Number blue = of 120

Cancel down

8 1 2 00

1

145

15

Total = 120 360°Angle in a

full pie

126°105° 75° 30° 24°

White

Blue

Silver

Red

Other

Page 28: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

x

÷

= 10x

÷= 15 Eels and Pike = 30 – 10 - 15

5

Page 29: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Total = 800

Angle in a full pie

Hospitals

Doctors

Dentists

Other

Page 30: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Total = 60 360°

Angle in a full pie

108°

120°72°

60°

Egg and Spoon

3 - legged

Sack

Obstacle

= =

30

% means ‘out of 100’

Smallest = 18 Biggest = 54Therefore, the stem goes from 1 to 5

1

2

3

4

5

8

3 9

6 6 9

1 3 4

4

Page 31: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Range = Biggest - Smallest 59 - 1

58

Count the number of leaves

13

Median is the middle when the numbers are placed in order

15

22.1

42

62 - 2735

Page 32: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Midpoint750012500175002250027500

x

x

x

x

x

Plot midpoint with number of workers

18 + 3 = 21 earn over £20000

Page 33: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

FX

Do not need to work out the midpoint as it is an ungrouped tablex 80

x 180x 84x 60x 20

Total = 40 424

10.60

Modal fee is the one with the highest frequencyModal fee = 10

Median is middle. Add cumulative frequency (CF) column and calculate.

CF1028353940

Median = 20.5th term

In this group

Median fee = 10

Page 34: EVERYTHING YOU NEED TO KNOW TO GET A GRADE C STATISTICS (FOUNDATION)

Midpoint

3

9

15

21

27

FX

45

225

300

252

216

Total = 80 1038

Mean = 1038 80 = 13.0 mins (1d.p.)

(Total 3 marks)