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Mean, Mode, Median & Range

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  • Maths 11+ Papers Online Topics
  • Mean, Mode, Median & Range
  • Question 13
  • Answer

Question 13

Answer

B

Mode is most frequent number

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Difficulty Rating

3/10
  • Question 11
  • Answer

Question 11

Answer

D

Add up all of the heights which comes to 221,642. Then divide by the number of instances which is 8

Nearest is D 27,700

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Difficulty Rating

5/10
  • Question 2
  • Answer

Question 2

Answer

A

Add up all of the numbers and divide it by the number of instances:

So answer is 69

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Difficulty Rating

3/10
  • Question 15
  • Answer

Question 15

 

Answer

a) Louise

b) 6kg

41-35

c) Gillian & Fatima

d) 3

Jeannie, Sarah & Fatima

e) 11 months

f) 224kg

37+41+35+38+34+39

g) See below..

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Difficulty Rating

6/10
  • Question 29
  • Answer

Question 29

Answer

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Difficulty Rating

4/10
  • Question 16
  • Answer

Question 16

Answer

a) 5

Mode is the most common/frequent number in the sequence

b) 5

Mean is the average of all of the numbers once added together. Total/Number of numbers

So 50/10

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Difficulty Rating

4/10
  • Question 14
  • Answer

Question 14

Answer

a) 2

Mode is the most common number

b) 15

Range is highest – lowest

c) 4

Mean = Average. Add up all of the numbers and divide by the number of instances

40/10

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Difficulty Rating

6/10
  • Question 22
  • Answer

Question 22

Answer

a) 4mins

Sally less Anna

b) 80mins

15 + 17+ 14+ 18+ 16

c) 16mins

80/5

d) 1km

Peter took 15mins. If its 4km/h he walks, then after 15mins, he walks 1km

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Difficulty Rating

7/10
  • Question 16
  • Answer

Question 16

Answer

16

5 numbers with mean 28 = 140 in total (5 * 28)

12 numbers with mean of 11 = 132 in total (12 * 11)

Total = 272

Mean = 272/17

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Difficulty Rating

7/10
  • Question 22
  • Answer

Question 22

Answer

a) 4

  1. Mean of 7 numbers = 12. Total = 84
  2. If 8th number added and mean is 11, total must now be 88 (8*11)
  3. So , the number included = 88-84 = 4

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Difficulty Rating

4/10
  • Question 18
  • Answer

Question 18

 

Answer

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Difficulty Rating

5/10
  • Question 17
  • Answer

Question 17

Answer

a) 8 minutes

Mode is most common number.

b) 6 minutes

Range is highest less lowest. 10 – 4

c) 7 minutes

Mean is Average. So add up all the times and divide by number of times

35/5 = 7 minutes

d) 1 minute

If mean is 6 and there are 6 days on record, then the total number of minutes late is 6 * 6. Remember , mean= total/number of instances. So 6=total/number of instances

So 36 – 35 = 1 minute

e) Bus was not late on the other days as the mean is 4 and number of days is 9. So 36 minutes late in total which is the same as the end of day 6

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Difficulty Rating

6/10
  • Question 16
  • Answer

Question 16

Answer

a) 8

Mode = most common score. Scores were 9,6,8,4,8

b) 5

Range = 9-4

c) 7

9+6+8+4+8 = 35. Mean is average 35/5

d) 4

6.5 * 6 (6 being number of tests) = 39

French score is 39-35 = 4

e) 2/3

9/10; 6/10; 8/10; 4/10; 8/10; 4/10

He passed 4 out of 6 tests so 4/6 or 2/3

f) 35%

History score before was 4/10 – 40%

Now he scores 15/20 = 75%

Improvement = 35%

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Difficulty Rating

7/10
  • Question 10
  • Answer

Question 10

Answer

a) 7

Mode is the most common number. This is 7

b) 8

8+7+11+6+9+7 = 48

48/6

c) 5

Range is highest minus lowest

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Difficulty Rating

5/10
  • Question 17
  • Answer

Question 17

Answer

a) 10

Mean is average. So its 17+12+8+16+2+5+10 = 70 / number of instances = 70/7

b) 15

Range is Highest – Lowest

c) 14

If mean is 10, then work backwards. Mean = Total/number of instances

This means 40 = Total/4

So total has to come to 40 and therefore, missing number is 40-5-7-12

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Difficulty Rating

5/10
  • Question 17
  • Answer

Question 17

Answer

a) 3

Mean = 3+4+2+0+1+8 = 18/(number of instances) = 18/6

b) 8

Range = Difference lowest v highest = 8-0

c) 10

If Mean increases to 4 after 7 games, then total of 28 goals scored.

Next game would be 10

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Difficulty Rating

6/10
  • Question 10
  • Answer

Question 10

Answer

10kg

  1. Add up all of the numbers
  2. 3+6+9+22+28+1+6+5 = 80
  3. 8 sharks so average weight is 10kg

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Difficulty Rating

3/10
  • Question 22
  • Answer

Question 22

Answer

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Difficulty Rating

6/10
  • Question 23
  • Answer

Question 23

Answer

Use the inverse operation of 17 * 11 = 187

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Difficulty Rating

5/10
  • Question 26
  • Answer

Question 26

 

Answer

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Difficulty Rating

7/10
  • Question 27
  • Answer

Question 27

Answer

3

Range represents difference between highest and lowest. So this would be 9-6 = 3

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Difficulty Rating

2/10
  • Question 35
  • Answer

Question 35

Answer

8

  1. Work backwards…..Mean = total of all instances/number of instances
  2. 6 = ? /5
  3. Rearrange = 6×5 = ?
  4. ? = 30. Given you know the total of the other days as 22, the missing day is 8

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Difficulty Rating

6/10
  • Question 27
  • Answer

Question 27

Answer

a) 20 minutes 20 seconds

In total its 19 minutes and 80 seconds = 20 minutes 20 seconds

b) 5 minutes 5 seconds

(20 minutes 20 seconds)/ 4 . If not sure, do the minutes first which is 5 minutes average. Then do the seconds which is 5 seconds average

c) 6 minutes 14 seconds

Range is the difference between the highest and lowest times. (8 minutes 17 seconds) less (2 minutes 3 seconds) = 6 minutes 14 seconds

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Difficulty Rating

4/10
  • Question 33
  • Answer

Question 33

Answer

a) 14 minutes 30 seconds

Add up minutes first = 4+5+4 = 13minutes

Add up seconds and convert to minutes and seconds = 90 seconds = 1minute 30 seconds

Total = 14 mins 30 seconds

b) 4 minutes 50 seconds

Mean = Total /3

So 14 mins 30 seconds / 3

One approach is to convert to seconds and then back to minutes. So (14*60)+30 = 840+30 = 870

870/3 = 290 seconds = 4 minutes 50 seconds

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Difficulty Rating

6/10
  • Question 23
  • Answer

Question 23

Answer

i) 14C

ii) 9C

On Friday

iii) 7C

18C-11C

 

B)

i) 8C difference on Thursday

ii) 56/7 = 8C

Total of all temperatures/ number of recorded temperatures

 

Range is difference between highest and lowest numbers

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Difficulty Rating

3/10
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