Edexcel IAL S1 Chapter 1-5 Revision

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Edexcel IAL S1

Chapter 1-​5

Revision

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Open Ended

Statistical models provide a cheap and quick way to describe a real world situation.

Give two other reasons why Statistical Models are used.

Open Ended

Seven Stages of Modelling

Stage 1 - The recognision of a real-world problem

Stage 2 -

Stage 3 - Model used to make predictions

Stage 4 - Experimental data collected

Stage 5 -

Stage 6 -Statistical concepts are used to test how well the model describes the real-world problem

Stage 7 -

Describe the missing stage 2...

Open Ended

Seven Stages of Modelling

Stage 1 - The recognision of a real-world problem

Stage 2 -

Stage 3 - Model used to make predictions

Stage 4 - Experimental data collected

Stage 5 -

Stage 6 -Statistical concepts are used to test how well the model describes the real-world problem

Stage 7 -

Describe the missing stage 5...

Multiple Choice

Tell me the class boundaries of the third group?

• 51 and 60

• 51.5 and 60.5

• 50.5 and 60.5

Multiple Choice

Tell me the class width of the final group?

• 60

• 59.5

• 59

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Combined Mean

The mean of a sample of 25 observations is 6.4.
The mean of a second sample of 30 observations is 7.2.

Calculate the mean of all 55 observations.

Multiple Choice

Which of the options is the correct calculation for the combined mean?

• $$\frac{\left(6.4\times25\right)+\left(7.2\times30\right)}{55}$$  

• $$\frac{6.4+7.2}{2}$$  

• $$\frac{\left(6.4\times30\right)+\left(7.2\times25\right)}{55}$$  

• $$\frac{\left(6.4+7.2\right)\times25\times30}{55}$$  

Fill in the Blanks

Multiple Choice

What is the median?

• 60

• 50

• 45

• 70

Multiple Choice

What is the Interquartile Range?

• 60

• 25

• 45

• 50

Finding the Median and Quartiles Rules:

Grouped Data - DO NOT +1 
We can only ESTIMATE the values! 
So no need :)

Multiple Choice

If the variance of a set of data is 25

What is the Standard Deviation?

• 25

• 5

• 2.5

• 0

Multiple Choice

If the variance of a set of data is 81

What is the Standard Deviation?

• 9

• 81

• 18

• 8.1

Multiple Choice

If the Standard Deviation of a set of data is 100

What is the Variance?

• 10

• 100

• 1

• 10000

Multiple Choice

What position does the median lie in?

• 10th

• 16th

• 18th

• 32nd

Multiple Choice

Which value is missing from the box?

• 10

• 8

• 14

• 32

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Multiple Choice

$$y=\frac{x+5}{2}$$   Rearrange to make x the subject

• $$x=2\left(y-5\right)$$  

• $$x=2y+5$$  

• $$x=2y-5$$  

• $$x=\frac{y+5}{2}$$  

Multiple Choice

$$y=x-20$$   Mean of x = 36 Mean of y =

• 36

• 16

• 20

• 3.6

Multiple Choice

$$y=x-20$$   Standard Deviation of x = 4 Standard Deviation of y =

• 4

• 16

• -16

• 20

Multiple Choice

$$𝑦=\frac{x+10}{3}$$   Mean of x = 11 Mean of y =

• 7

• 21

• 11/3

• 10/3

Multiple Choice

$$𝑦=\frac{x+10}{3}$$   Standard Deviation of x = 27 Standard Deviation of y =

• 7

• 12.3

• 9

• 6.5

Skewness

Multiple Choice

Describe the skew

Mean= 55.48

Median= 56

• Positive

• Negative

• No Skew

Multiple Choice

Describe the skew

Mean= 5

Median= 4

• Positive

• Negative

• No Skew

Multiple Choice

Describe the skew

Mean= 3.2

Median= 3.5

• Positive

• Negative

• No Skew

Multiple Choice

Describe the skew

Q1= 8.5

Q2= 13

Q3= 21

• Positive

• Negative

• No Skew

Multiple Choice

Describe the skew

Q1= 3

Q2= 5

Q3= 8

• Positive

• Negative

• No Skew

Multiple Choice

Describe the skew

Q1= 4.7

Q2= 7.1

Q3= 7.3

• Positive

• Negative

• No Skew

Multiple Choice

What are the two missing Frequency Densities?

• 4 and 1.2

• 0.25 and 1.2

• 40 and 6

• 4 and 12

Multiple Choice

What are the two missing Frequencies?

• 26 and 5

• 26 and 10

• 52 and 10

• 52 and 5

Multiple Choice

What are the frequencies of the bars from left to right?

• 15, 20, 40, 25

• 10, 30, 40, 55

• 15, 30, 40, 25

• 10, 20, 50, 25

Multiple Choice

What is the probability of scoring 7?

• 1/6

• 1/12

• 1/36

• 1/5

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

What is the probability the Koala is female?

• 20/40

• 0.48

• 114/240

• 126/240

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

GIVEN THAT THE KOALA IS MALE

What is the probability the Koala is less than 70cm long?

• 4/240

• 18/240

• 18/126

• 4/126

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A'∩B

• A∩B'

• A∪B'

• A'∪B

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

• ³¹/₈₀

• ⁴⁵/₈₀

• ⁶²/₈₀

• ⁶⁷/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

Given that a student selected plays Football.

What is the probability that they play Hockey?

• 45/80

• 45/66

• 14/66

• 14/80

Multiple Choice

Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?

• Not Mutually Exclusive

• Mutually exclusive
• 1/2
• 1/6

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent
• Dependent

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Multiple Choice

Events A and B are mutually exclusive What is  $$P\left(A\cap B\right)$$  

• 0

• 1

• 0.9

• 0.2

Multiple Choice

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 0.2

• 0.9

Multiple Choice

What is  $$P\left(A\right)\times P\left(B\right)$$  

• 0.1

• 0.6

• 0.2

• 0.9

Multiple Choice

Are events A and B independent?

• Yes

• No

• I don't know

Multiple Choice

A student is picked at random.

What is the probability the student watches both tv show A and B?

• 4/30

• 3/30

• 7/30

• 1/30

Multiple Choice

Determine whether watching tv show A and B are independent

• Yes

• No

• I still don't know

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = 1.2

• B) r = 0.89

• C)r = 0

• D) r = -0.89

Multiple Choice

Describe the correlation in the graph shown.

• A) Strong Negative

• B) Strong Positive

• C) Weak Negative

• D) No Correlation

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• A) r = -0.9

• B) r = 1

• C) r = 0.9

• D) r = -1

Multiple Choice

As x increases, y decreases.

• A) no correlation

• B) negative correlation

• C) correlation coefficient

• D) positive correlation

Multiple Choice

Interpret the slope of the Least Squares Line Equation.

• Income increases by 31.45 with each additional hour worked.
• Income increases by 31.45
• As hours increases by one, income will increase by 31.45, on average
• As hours increases by one, income will increase by 31.45

Multiple Choice

Determine the predicted income if 22 hours were worked on an assembly job.

• $207.30
• $449.60
• $691.90
• $543.30