**B**

Mode is most frequent number

**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

**A**

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

So answer is 69

**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..**

**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

**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

**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

**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

**a) 4**

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

**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**

**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%

**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

**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

**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

**10kg**

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

Use the inverse operation of 17 * 11 = 187

**3**

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

**8**

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

**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

**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

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