Answers- Year 4 Maths week 12- statisticsDay 1-task 1- Mixed graphs

Answers 1) Which month in Cardiff has the lowest average rainfall?2) Which month in Cardiff has the highest average temperature?3) Which month in Cardiff has the highest average rainfall?4) Which month in Cardiff has the lowest average temperature? 5) Which month in Cardiff has an average rainfall of 70mm?6) Which month in Cardiff has an average temperature of 6 7) Which month in Cardiff has an average temperature of 15 8) How many mm of rain does Cardiff get in May? 9) What is the average temperature in Cardiff during August? 10) What is the difference in rainfall between April and May?11) How much does the temperature rise on average from May to August?12) How many mm of rain does

statistics(Challenges are not compulsory)

Which month in Cardiff has the lowest average rainfall?April has the highest average temperature?August

Which month in Cardiff has the highest average rainfall?December Which month in Cardiff has the lowest average temperature? January Which month in Cardiff has an average rainfall of 70mm?July

th in Cardiff has an average temperature of 6 °c?March Which month in Cardiff has an average temperature of 15 °c?June How many mm of rain does Cardiff get in May? 65mm What is the average temperature in Cardiff during August? 17 °c

in rainfall between April and May?5mm How much does the temperature rise on average from May to August?How many mm of rain does Cardiff get from September to November?

January

How much does the temperature rise on average from May to August?15°c Cardiff get from September to November? 295mm

Task 2- Stacked bar charts

1) Which classes have the most children?

2) Which class has the least number of girls?

3) Complete the sentence. In class 3 there are ____ boys and ____ girls.

Challenge- These are the answers to some questions about the graph above. Can you write dowpossible questions?

1) 15- How many boys are in class 4?2) Classes 1 and 4- What classes have a total of 30?3) Girls- many possibilities 4) Boys- many possibilities 5) Class 4- even number of boys and girls. Total of 30. Same total as class 1.

Which classes have the most children? Classes 1 and 4.

Which class has the least number of girls? Class 5.

Complete the sentence. In class 3 there are ____ boys and ____ girls. 16 boys and 12 girls.

These are the answers to some questions about the graph above. Can you write dow

How many boys are in class 4? What classes have a total of 30?

even number of boys and girls. Total of 30. Same total as class 1.

16 boys and 12 girls.

These are the answers to some questions about the graph above. Can you write down the

even number of boys and girls. Total of 30. Same total as class 1.

Task 3

Questions-

a) How many children read 9 or more books?

b) How many children read less than 6 books?

How many children read 9 or more books? 21

How many children read less than 6 books? 20

Graph checklist:

Suitable title for the class

Suitable label for X and Y axis

Suitable scale, equally spaced

Bars equally spaced and equally drawn on the chart ⃝

Correctly calculating and drawing the bars ⃝

Bars drawn accurately for each

Suitable title for the class ⃝

Suitable label for X and Y axis ⃝

Suitable scale, equally spaced ⃝

Bars equally spaced and equally drawn on

Correctly calculating and drawing the bars

Bars drawn accurately for each set ⃝

Day 2 Task 1-pictograms Here is a pictogram showing the number of apples sold by a fruit shop in one week.

a) How many apples were sold on Monday?

b) Jack says that more apples were sold on Monday and Tuesday than the rest of the week. Explain why he is correct. 57 sold on Monday and Tuesday (20+13+18).

Here is a pictogram showing the number of apples sold by a fruit shop in one week.

were sold on Monday? 31 apples

Jack says that more apples were sold on Monday and Tuesday than the rest of the week. Explain 57 sold on Monday and Tuesday (31+26) and 51 sold in the rest of the week

Here is a pictogram showing the number of apples sold by a fruit shop in one week.

Jack says that more apples were sold on Monday and Tuesday than the rest of the week. Explain and 51 sold in the rest of the week

Task 2- Line graphs This line graph shows the temperature in the playground at a school.

a) At what time was the temperature 10

b) Between which times did the temperature stay the same?

c) What was the temperature at 15:30?

This line graph shows the temperature in the playground at a school.

At what time was the temperature 10 °c? 09:40

Between which times did the temperature stay the same? 12:00 to 13:00

hat was the temperature at 15:30? 17 °c

Task 3- Grouped bar charts A grouped bar chart to show information about the house of Hanover Monarchs

1) Who reigned for the most years? 2) Who was the youngest when they died? 3) How long did the Hanover kings reign for in total? 4) What is the difference in age between the youngest and oldest ages of becoming monarch?

years 5) Who reigned for 46 years less than George the third? 6) How much younger was Victoria than George the sec

younger 7) Who was 5 years younger than George the third and Victoria when they died?

second 8) Which two monarchs ruled for more than half their lifetime? 9) How many more years would Ge10) If William the fourth had ruled for 23 years instead of 7

died? 87 years old

A grouped bar chart to show information about the house of Hanover Monarchs

Questions Who reigned for the most years? Victoria Who was the youngest when they died? George the first and George the fourth

Hanover kings reign for in total? 122.5 years What is the difference in age between the youngest and oldest ages of becoming monarch?

Who reigned for 46 years less than George the third? George I was Victoria than George the second when she became queen?

Who was 5 years younger than George the third and Victoria when they died?

h two monarchs ruled for more than half their lifetime? George the third and Victoria How many more years would George the first have had to reign for to reign 40 years? If William the fourth had ruled for 23 years instead of 7, what age would he have been when

A grouped bar chart to show information about the house of Hanover Monarchs

the fourth

What is the difference in age between the youngest and oldest ages of becoming monarch? 46

ond when she became queen? 25 years

Who was 5 years younger than George the third and Victoria when they died? George the

George the third and Victoria orge the first have had to reign for to reign 40 years? 27 years

, what age would he have been when he

Day 3 Task 1- Line graphs A graph to show a sunflower’s growth.(

Questions

1) How many days did it take to grow to 18cm? 2) What is the height difference between Friday 193) Why is there no measurement in the first week? 4) What was the height of the plant on these days?

a) Thursday 11th =7cm b) Friday 19th =10cm c) Monday 29th=19cm

Task 2- Tally charts Here is a tally chart to show the eye colour of people in clas

A graph to show a sunflower’s growth.(Its height was measured every 2 days.)

How many days did it take to grow to 18cm? 25 days What is the height difference between Friday 19th and Thursday 25th? 7 cmWhy is there no measurement in the first week? The seed had not grown yet.What was the height of the plant on these days?

Here is a tally chart to show the eye colour of people in class.

cm The seed had not grown yet.

Questions

1) How many children have green eyes?

2) How many children have grey or hazel eyes?

3) What is the least common eye colour?

4) What is the most common eye colour?

5) What is the difference between the most and the least common eye colours

6) How many more people have brown eye

How many children have green eyes? 10

How many children have grey or hazel eyes? 7

What is the least common eye colour? Grey

What is the most common eye colour? Brown

What is the difference between the most and the least common eye colours

How many more people have brown eyes than green eyes? 5

What is the difference between the most and the least common eye colours (range)? 12

Task 3- Converting data into bar charts Here is a tally chart to show birthdays in a year 4 class.

Converting data into bar charts Here is a tally chart to show birthdays in a year 4 class.

a) Convert the data from the tally chart into the line bar chart below.

Convert the data from the tally chart into the line bar chart below. Example…

Example…

1) What is the mode (most) or average2) Which month has the most birthdays?3) How many people altogether have birthdays in4) How many people have birthdays between 5) Which month has the least birthdays?

Challenge

Answer 1-Using the bar graph for class5×4+4×4=36 but so does 6×4+3×4, 7×4+2×4, 8×4+1×4. All these are the same as 9×4. We know given. Maybe if Katie and Charlene had done classeswork it out. Answer 2- By looking at the amount of pupils in classpeople on the graph equal 6 and the little people equalin class 7, 39 people in class 6

What is the mode (most) or average number of birthdays? Mode:5 average:5Which month has the most birthdays?March

ople altogether have birthdays in April, May June and July?How many people have birthdays between August and December? 21 peopleWhich month has the least birthdays? April and November

Using the bar graph for class 4 gives 36 pupils but this allows several possible answers:

. We know big plus small must equal 9 but not the split from the info given. Maybe if Katie and Charlene had done classes 1 to 3 as well we would have been able to

By looking at the amount of pupils in class 4 on the bar graph, you can tell thand the little people equal 3 people, so therefore there are6 and 30 people in class 5 which equals 111 pupils.

Mode:5 average:5

and July?17 people 21 people

pupils but this allows several possible answers:

but not the split from the info as well we would have been able to

on the bar graph, you can tell that the big people, so therefore there are 42 people

pupils.

Day 4- Converting into line bar charts Task 1 -Horizontal or vertical

Task 2 -Frequency table

Converting into line bar charts

Task 3- line graphs Rishi checked his total savings each week and drew this graph

1. How much did Rishi add to his savings between the 15th and the 22nd of May? 2. How much did he add to his savings between the 5th and 12th of June? 3. In which week did he add the most to his savings? 4. When did Rishi start to save his money? 5. What happened between the 22nd and the 29th of May?

savings. 6. One week Rishi didn’t save anything. Which week was that?

5th of June.

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4

6

8

10

12

14

16

23 A

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30 A

pr

7 M

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14 M

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21 M

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28 M

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Rishi's savings

is total savings each week and drew this graph

How much did Rishi add to his savings between the 15th and the 22nd of May? How much did he add to his savings between the 5th and 12th of June? In which week did he add the most to his savings? Between the 8th and 15th of May (£6)When did Rishi start to save his money? Some time between the 1st andWhat happened between the 22nd and the 29th of May? Rishimust have

One week Rishi didn’t save anything. Which week was that? Between the 29th of May and the

28 M

ay

4 Ju

n

11 Ju

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18 Ju

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25 Ju

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2 Ju

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Rishi's savings

Savings

How much did Rishi add to his savings between the 15th and the 22nd of May? £2 How much did he add to his savings between the 5th and 12th of June? £1

Between the 8th and 15th of May (£6) 1st and the 8th of May

must have spent some of his

Between the 29th of May and the

Challenge

Example stories 2 weeks ago there was a mad shepherd, who lived on a farm in the middle of nowhere. His name was Dan.There was another farmer down the road called James and every year they had a contest to see who had shaved off the most wool. Dan was behind because his sheep kept running away,wool. But one day James made a plan to stop him taking his sheep: he put a long row of wet cement on the ground so that when Dan went across he would get stuck.But when this happened not only Dan got stuhours.

mad shepherd, who lived on a farm in the middle of nowhere. His name was Dan.There was another farmer down the road called James and every year they had a contest to see who had

Dan was behind because his sheep kept running away, so he started to hi-jack James' sheep and take his

But one day James made a plan to stop him taking his sheep: he put a long row of wet cement on the ground so that when Dan went across he would get stuck. But when this happened not only Dan got stuck, but so did the sheep and they were stuck there for 2

mad shepherd, who lived on a farm in the middle of nowhere. His name was Dan. There was another farmer down the road called James and every year they had a contest to see who had

jack James' sheep and take his

But one day James made a plan to stop him taking his sheep: he put a long row of wet cement on the

ck, but so did the sheep and they were stuck there for 2

Day 5 Task 1

1) What was the temperature on day 4 of Jasper’s holiday2) What was the temperature on day 1 of Sonia’s holiday3) What was the difference in temperature between Greece and Cornwall on day 3? 4) How much warmer was it in Greece than Cornwall on day 7? 5) On which day was the temperature of Sonia’s holiday 21 6) On which day did the temperature in Greece decrease?

What was the temperature on day 4 of Jasper’s holiday in Greece? 20 °c What was the temperature on day 1 of Sonia’s holiday in Cornwall? 15 ° c

emperature between Greece and Cornwall on day 3? How much warmer was it in Greece than Cornwall on day 7? 3 °c On which day was the temperature of Sonia’s holiday 21 °c? Day 6 On which day did the temperature in Greece decrease? Day 4

emperature between Greece and Cornwall on day 3? 5 °c

Task 2- Converting data into graphs

Converting fruit table into stacked bar chart

Task 3

Converting time table into time graph

Challenge- various questions based on the two graphs

Converting fruit table into stacked bar chart- something similar to the graph below.

time graph- something similar to the graph below.

various questions based on the two graphs

something similar to the graph below.