S1 (1.5) Statistics.notebook March 15, 2016

Transcription

1 Q1. Round to 1 decimal place Daily Practice Q x 50 Q Today we will be learning how to work out the average of a set of numbers. Homework due Wednesday Q4. What type of angle is an angle of 171 0? Q Mean (Average) The mean is all the numbers added together divided by the number of numbers. Daily Practice Q1. Round to the nearest unit Q2. Write two hundred thousand and twenty seven in digits Example: What is the mean of 2, 3, 4, 8, 12, 1? Q x 50 Q (-3) Q5. Give an example of a reflex angle Mean (Average) Calculate the mean of the following sets of numbers Today we will be learning how to work out the mean & median of a data set. Homework due tomorrow. (a) 1, 1, 3, 4, 5, 0, 0 (b) 10, 5, 6 (c) 2, 3, 8, 4, 1 (d) 1, 8, 8, 6, 7

2 Mean (Average) Use a calculator to work out the mean for each: 1. Jenny receives the following amounts of pocket money each week depending on how many chores she completes 4, 2.20, 5, 3.50, 7 Daily Practice Q1. Round to the nearest unit Q The following are the ages of pupils in a class 12, 12, 13, 11, 14, 12, 12, 13, 11, Q x 5 3. Jake gets the following results in his tests Q4. 45 x 500 Q , 58, 64, 91, 86, 82, 83, 89 Mean (Average) Derek 152cm Chloe 166cm Danny 151cm Height of pupils Today we will be learning about median. Homework due today. Michael 148cm Rhys 148cm Nicole 152cm Douglas 154cm Darren 169cm Rachel 155cm Eilidh 156cm Connor 159cm Zoe 153cm Brooke 161cm Tiegan Miss Deely 169cm = Daily Practice Q1. Round to the nearest unit Q x 100 Today we will be continuing to learn about the median. Q3. 90 x 50 Q x 5 Q5. Give an example of an acute angle

3 Median (Average) The median is another type of average. To get the median, arrange your data from lowest to highest. The median is the middle number If there are 2 middle numbers, add them together and divide by Derek 152cm Chloe 166cm Danny 151cm Michael 148cm Rhys 148cm Nicole 152cm Douglas 154cm Darren 169cm Rachel 155cm Eilidh 156cm Connor 159cm Zoe 153cm Brooke 161cm Tiegan Miss Deely 169cm Q1. -4 x 3 Daily Practice Q Q3. Calculate the size of a 48 0 a 0 Today we will be learning about the median and mode. Q4. Round to the nearest unit Q x 600 Median (Average) Examples: Calculate the median Mode (Average) The mode is the number that appears most often in a data set. (a) 2, 3, 7, 1, 8, 6, 2 Examples: State the mode from the following (a) 2, 3, 7, 8, 2, 1, 4, 8, 3, 7, 9, 7 (b) -4, -3, 6, 7, 18, 19, 22, 14 (b) 0.8, 8.5, 3.8, 0.08, 0.8, 0.98

4 Daily Practice Q (-9) Q x 60 Q Today we will be learning to work out the mean, median, mode and range of a data set. Q4. What is the mean of 2, 3, 4, 5 and 6? Q5. 5 x (2 + 3) Median and Mode Questions Write the median and mode for each data set Range The range of a data set tells us how widely spread the data is. (a) 2, 3, 7, 8, 9, 10, 14, 2, 11 (b) -3, -1, 5, 6, 7, 7, 8 It is the highest number - lowest number. Examples: State the range of the following (a) 16, 17, 22, 24, 38, 19, 4, 6, 15, 81 (c) 23, 38, 42, 101, 97, 68, 23, 49, 34, 97, 23, 12 (b) 1, 2, 3, 4, 5, 7, 8, 11, 10 Mean, Median, Mode and Range Questions: Calculate the mean, median, mode and range of the following Daily Practice Q1. 2 x 3 x 5 (a) 2, 3, 4, 5, 6, 6, 7, 8, Q2. Round to 1 decimal place (b) 10, 20, 40, 50, 70, 80, 90, 90 Q x 200 (c) -2, 4, 7, 9, 11, 15, 4, 6, 7, Q (-16) Q

5 Daily Practice Today we will be learning to make a tally table and correctly draw a bar chart to display our answers. 20 Questions Mental Maths Tally Tables Today we will be continuing to learn how to draw and interpret bar charts. Type of Pet Tally Frequency Dog Cat Fish Other Total Bar Chart Daily Practice Q1. Round to the nearest unit Q x 5 Q x 100 Q4. 65 x 7 Q

6 Line Graphs A line graph displays data that is ordered and connected. They are often drawn to show how data changes over a period of time. Today we will be continuing to learn how to interpret charts. Example: Create a line graph to display the number of holidays booked with a company over a 1 year period 16 squares up Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec No. of hols ('oos) (8cm) 24 squares along (12cm) Daily Practice Q1. Round to 2 decimal places Q x 40 Q3. What type of angle is 90 0? Today we will be continuing to learn how to draw and interpret line graphs. Q4. What is the size of x? Q5. -5 x -4 x x

7 Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec No. of hols ('oos) Today we will be completing a survey on the number of cars that are different colours. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Create a tally table to collect your data. Daily Practice Questions Mental Maths You can do it on car colour or type of vehicle or name of vehicle. Colour of Car Tally Frequency Blue Black Silver Red Vehicle Type Tally Frequency Car Bus Van Truck Other Brand of Car Tally Frequency Nissan Toyota Mercedes Vauxhall Type of Vehicle Tally Frequency Car Bus Today we will be creating a bar chart to display the information we have collected. Lorry Jeep Motorbike Other Total

8 Colour of Vehicle Blue Tally Frequency Bar Graphs The numbers on the axes need to be the same distance apart 100 Black Green Frequency Silver/White 20 Red Green Blue Silver Black Red Bar graphs should always be labelled Colour of Car Other Total Daily practice Q1. Round 856 to the nearest hundred Q x 100 Today we will be creating a bar graph of our information collected on the computers. Q3. What type of angle is 347 0? Q4. What is the mean of 2, 3, 4, 5, 1? Q Stem and Leaf Diagrams Example: Display the following data using a Stem & Leaf diagram Weights of members of a fitness class Today we will be learning how to draw a stem and leaf diagram. 54kg 63kg 48kg 67kg 81kg 95kg 66kg 74kg 77kg 83kg (i) State the range of weight

9 Stem and Leaf Diagrams Daily Practice Questions Mental Maths Interpreting Graphs Today we will be continuing to practise reading different types of graphs. Body Mass Index (BMI) is a number calculated from your weight and height. It roughly gives the percentage of your total weight that comes from fat. The graph shows the BMI for different heights and weight. Interpreting Graphs Body Mass Index (BMI) Chart A school nurse measured each pupil s weight and height. She put the information on a chart using an X for each pupil. William weighs 100 kg and he is 1 75 m tall. (a) What is William s weight category? How many pupils are more than 34 kg in weight and less than 130 cm in height? (b) Why do you think we cannot overly rely on BMI as an accurate measure of whether a person is considered to be overweight or underweight?

10 Page Daily Practice Q1. Round to the nearest unit Q2, 3, 5, 10, 11, 12 Q2. -6 x 5 Q3. 48 x 50 Q Q5. What type of angle is 63 0? Daily Practice Q1. Round 817 to the nearest hundred Today we will be continuing to read charts Q x 2 and tables. Q3. (-5) x (-4) Q x 100 Q5. What is the range of 2, 6, 7, 8, 15, 1, 11? Pie charts are a visual way of showing how something is divided up. We use fractions when we talk about pie charts. Today we will be learning how to read pie charts.

11 Examples: There are 28 students in a class. The pie chart below represents how they get to school. Cycle Bus Walk 2. There are 100 people altogether. Curry Pasta Daily Practice Q1. Round 87 to the nearest ten Q2. Write five thousand and eighty four in digits Q x 100 Pizza Burger Q Q5. What is the median of 2, 3, 5, 6, 7, 8, 9? Today we will be continuing to learn about pie charts.

12 Daily Practice Q1. 36 x 7 Q x 100 Q Q3. Round to 2 decimal places Q4. What is the range of 3, 4, 5, 6, 1, 7, 9? Today we will be continuing to learn about pie charts. with angles 19-49yrs yrs There are 300 people altogether 19-49yrs

13 Daily Practice Q1. Round 18.5 to the nearest unit Q (-4) Revise using materials online at Q x 100 Q4. What is the median of 7, 6, 2, 3, 1, -4? Q5. What are all the odd numbers between 1 and 10? Revise using materials online at Today we will be learning about probability. Probability The probability of an event occuring means the liklihood that it will happen. Probability Examples: P(Event Occurring) = No. of favourable outcomes No. of possible outcomes 1. What is the probability of choosing an Ace from a deck of cards? Probability is measured usually as a fraction or a decimal between 0 and 1. Impossible Certain 2. There are 5 red cars, 2 grey cars and 3 black cars in a car park. If you choose a car at random, what is the probability it will be red?

14 Daily Practice Q Q Q5. What is the size of the missing angle? Q x 8? 43 0 Q x 1000 Probability Example: What is the probability of rolling a dice and getting an even number? Today we will be continuing to learn about probability. Test this week! Look at revision sheets online. Probability Probability Task: In pairs, work out the following probabilities for a full deck of cards: 1. Getting an Ace 6. Getting a red 4 2. Getting a red card 7. Getting a queen 3. Getting a picture card (J, Q, K) 8. Getting an even number 4. Getting a 7 9. Getting an odd number 5. Getting a 7 of clubs 10. **Getting a prime number

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