National 5 ADDITIONAL QUESTION BANK You have chosen to study: Statistics. Please choose a question to attempt from the following: Back to Unit 2 Menu
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1 National 5 ADDITIONAL QUESTION BANK You have chosen to study: Statistics Please choose a question to attempt from the following: Back to Unit 2 Menu
2 Statistics : Question 1 Adam works for a fast food company. The number of burgers he sells each day is logged. Number of burgers Numbers of days Calculate 0 1 (i) the median number of burgers (ii) the quartiles (iii) the semi-interquartile range Reveal answer only Go to full solution Go to Marker s Comments Go to Statistics Menu Go to Main Menu
3 Statistics : Question 1 Adam works for a fast food company. The number of burgers he sells each day is logged. Number of burgers Numbers of days Calculate 0 1 (i) the median number of burgers (ii) the quartiles (iii) the semi-interquartile range Reveal answer only Go to full solution Go to Marker s Comments (i) 15 (ii) 10, 20 (iii) 5 Go to Statistics Menu Go to Main Menu
4 Question 1 Adam works for a fast food company. The number of burgers he sells each day is logged. Number of burgers Numbers of days Calculate the (i) median number of burgers, (ii) the quartiles (iii) the semi-interquartile range Cumulative Frequency numbers r2 (i) Q2 (median) between 55 th and 56 th position =15 burgers (ii) Q1 at 28 th position = 10 burgers Q3 at 83 rd place = 20 burgers (iii) Semi Interquartile range Begin Solution Continue Solution Markers Comments Statistics Menu Back to Home
5 Cumulative Frequency numbers r2 (i) Q2 (median) between 55 th and 56 th position =15 burgers (ii) Q1 at 28 th position = 10 burgers Q3 at 83 rd place = 20 burgers (iii) Semi Interquartile range Marker s Comments Know to divide by 4 Find cumulative frequency State the positions of the median, and the quartiles Know semi-interquartile range is Q3 Q 1 2 Next Comment Statistics Menu Back to Home
6 Statistics : Question 2 The price, in pence/litre, of petrol at 10 city garages is shown below (a) Calculate the mean and the standard deviation of these prices (b) In 10 rural garages petrol prices had a mean of 88.8 and a standard deviation of 2.4. How do rural prices compare with city prices? Reveal answer only Go to full solution Go to Marker s Comments Go to Statistics Menu Go to Main Menu
7 Statistics : Question 2 The price, in pence/litre, of petrol at 10 city garages is shown below (a) Calculate the mean and the standard deviation of these prices (b) In 10 rural garages petrol prices had a mean of 88.8 and a standard deviation of 2.4. How do rural prices compare with city prices? Reveal answer only Go to full solution (a) 84.3, 1.28 (b) The average price in the city is lower and there is less variation in the prices Go to Marker s Comments Go to Statistics Menu Go to Main Menu
8 Question 1 The price, in pence/litre, of petrol at 10 city garages is shown below (a) Calculate the mean and the standard deviation of these prices (b) In 10 rural garages petrol prices had a mean of 88.8 and a standard deviation of 2.4. How do rural prices compare with city prices? Begin Solution Continue Solution Markers Comments Statistics Menu x x 2 SD x SD SD SD 2 SD mean (b) The average price in the city is lower and there is less variation in the prices. Back to Home
9 SD SD SD SD x x x 2 2 SD mean (b) The average price in the city is lower and there is less variation in the prices. Marker s Comments Know to how to calculate mean Know how to apply one of the formula for standard deviation (Note: this is one possible solution) Make one valid comparison between the two sets of data. Next Comment Statistics Menu Back to Home
10 Statistics : Question 3 61 cars are parked in a car park. 26 are saloons, 18 are estates and the rest are sportscars. (a) What is the probability the first car to leave the car park is a sportscar? (b) The first car to leave is a saloon car. What is the probability the second is an estate? Reveal answer only Go to full solution Go to Marker s Comments Go to Statistics Menu Go to Main Menu
11 Statistics : Question 3 61 cars are parked in a car park. 26 are saloons, 18 are estates and the rest are sportscars. (a) What is the probability the first car to leave the car park is a sportscar? (b) The first car to leave is a saloon car. What is the probability the second is an estate? Reveal answer only (a) 17/61 (b) 3/10 Go to full solution Go to Marker s Comments Go to Straight Line Menu Go to Main Menu
12 Question 1 61 cars are parked in a car park. 26 are saloons, 18 are estates and the rest are sportscars. (a) What is the probability the first car to leave the car park is a sportscar? (b) The first car to leave is a saloon car. What is the probability the second is an estate? (a) (b) P( sportscar) P( sportscar) P(2 nd # favourable # possible car estate) P(2 nd car estate) 3 10 Begin Solution Continue Solution Markers Comments Statistics Menu Back to Home
13 (a) P( sportscar) # favourable # possible Marker s Comments State formula for probability Calculate the number of sportscars P( sportscar) Know to divide by the total number of cars (b) P(2 nd car estate) Know to reduce the total number of cars by 1 P(2 nd car estate) 3 10 Simplify the fraction as far as possible Next Comment Statistics Menu Back to Home
14 Statistics : Question 4 The number of visitors to a car park each day was recorded. No of visitors No of days Reveal answer only Calculate the mean number of visitors to 1 decimal place. Go to full solution Go to Marker s Comments Go to Statistics Menu Go to Main Menu
15 Statistics : Question 4 The number of visitors to a car park each day was recorded. No of visitors No of days Calculate the mean number of visitors to 1 decimal place. Reveal answer only 52.9 visitors Go to full solution Go to Marker s Comments Go to Statistics Menu Go to Main Menu
16 Question 1 The number of visitors to a car park each day was recorded. Calculate the mean number of visitors to 1 decimal place. No of visitors No of days Begin Solution Continue Solution No of visitors x No of days mean = total number of visitors total number of days Total = 2910 Markers Comments Statistics Menu Back to Home
17 No of visitors x No of days mean = total number of visitors total number of days Total = 2910 Marker s Comments Know how to calculate the total number of visitors Demonstrate how mean is to be calculated Give answer to 1 decimal place as requested 52.9 Next Comment Statistics Menu Back to Home
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