Mode, Median, Mean and Range!

Your homework this week is to put into practise what you have been learning in the classroom.

For **each** of the set of numbers, you need to work out the mode, median, mean and range for EACH of them.

**Remember**– the first thing you need to do is to REARRANGE all the numbers in each group as you go.

Mode-which number you see that repeats?

Mean-+ and the divide.

Median- Middle number

Range- big number -little number

Do not copy one anothers work as it will soon be easy to see who has. The first few in each grade to be fully finished and correct will receive and prize. Good luck!

1) 21 , 15 , 18 , 11 , 13 , 7

2) 20 , 5 , 11 , 19 , 10 , 14 , 19

3) 7 , 10 , 11 , 3 , 20, 7, 7, 10

4) 8 , 16 , 18 , 10 , 9 , 6 , 17, 8, 18

5) 8 , 6 , 4 , 20 , 20, 2, 3, 15

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1) (reordered) 7, 11, 13, 15, 18, 21`

MODE: There is no mode

MEDIAN: the median is 14

MEAN: 7+11+13+15+18+21= 85 85 divided by 6 =14.1666666667. The mean is 14.1666666667.

RANGE: 21-7= 14 the range is 14

2) (reordered) 5, 10, 11, 14, 19, 19, 20

MODE: the mode is 19

MEDIAN: the median is 14

MEAN: 5+10+11+14+19+19+20= 98 98 divided by 7= 14. The mean is 14.

RANGE: 20-5= 15 the range is 15

3) (reordered) 3, 7, 7, 7, 10, 10, 11, 20

MODE: the mode is 7

MEDIAN: the median is 8.5

MEAN: 3+7+7+7+10+11+20= 65 65 divided by 7= 9.28571428571. The mean is 9.28571428571

RANGE: 20-3= 17 the range is 17

4) (reordered) 6, 8, 8, 9, 10, 16, 17, 18, 18

MODE: the mode is 8 and 18

MEDIAN: the median is 10

MEAN: 6+8+8+9+10+16+17+18+18= 110 110 divided by 9= 12.2222222222. The mean is 12.2222222222

RANGE: 18-6= 12 the range is 12

5) (reordered) 2, 3, 4, 6, 8, 15, 20, 20

MODE: the mode is 20

MEDIAN: the median is 7

MEAN: 2+3+4+6+8+15+20+20= 78 78 divided by 8= 9.75. The mean is 9.75

RANGE: 20-2= 18 the range is 18

I hope it is all correct because I was the first one finished π π π π π

1) 21 , 15 , 18 , 11 , 13 , 7

Mode: All numbers only come up once so they are all modes.

Median:14

Mean: 14r 1

Range: 14

2) 20 , 5 , 11 , 19 , 10 , 14 , 19

Mode: 19 because it is the only number that is shown twice.

Median: 12

Mean: 16 r 2

Range: 15

3) 7 , 10 , 11 , 3 , 20, 7, 7, 10

Mode: 7 because it is the only number shown 3 times.

Median:8.5

Mean: 9 r 3

Range: 17

4) 8 , 16 , 18 , 10 , 9 , 6 , 17, 8, 18

Mode: 18 and 8

Median: 10

Mean: 12 r2

Range:12

5) 8 , 6 , 4 , 20 , 20, 2, 3, 15

Mode: 20 because it is the only number that is shown twice.

Median: 7

Mean: 9 r6

Range: 18

Jade you are lucky to be able do it that quickly because when you did it I was at Girl Guides. π πΏ π β π π¦ π

You did really well Kate

1) 21, 15, 18, 11, 13, 7 7, 11, 13,15,18,21

Mode: All the numbers are different so there is no mode to this.

Median: The middle number is 13 and 15

Mean: The mean is 14.166666

Range 21-7=14

2) 20, 5, 11, 19, 10, 14, 19 5, 10, 11,14,19,20

Mode All the numbers are different so there is no mode.

Median the middle number is 14 and 15

Mean The mean is 13.166666

Range 20-5=15

3) 7, 10, 11, 3, 20, 7, 7, 10 3,7,7,7,10,10,20

Mode 7 because it has three numbers

Median 7 is the middle number

Mean 8

Range 17

4) 8, 16, 18, 10, 9, 6, 17, 8, 18 6, 8,8,9,10,16,17,18,18,

Mode The mode is 18 and 8 because they both have two of the same

Median 10 is the middle number

Mean 12.222222

Range 12

5) 8, 6, 4, 20, 20, 2, 3, 15 2, 3,4,6,8,15,20,20

Mode 20

Median 6 and 8

Mean 9.75

Range 18

1) 21, 15, 18, 11, 13, 7

Mode there is no mode

7, 11, 13, 15, 18, 21

Median 14

Mean 7+11+13+15+18+21=75 divided by 7=70 5 left

Range 14:evil π

2) 20, 5, 11, 19, 10, 14, 19

Mode 19

5, 10, 11, 14, 19, 20

Median 13.50

Mean 5+10=15+10=25+11=36+14=50+19=69+20=89 divided by 6= π¦ sorry I will finish it later.

3) 7, 10, 11, 3, 20, 7, 7, 10

4) 8, 16, 18, 10, 9, 6, 17, 8, 18

5) 8, 6, 4, 20, 20, 2, 3, 15

1) 21, 15, 18, 11, 13, 7

Mode there is no mode

7, 11, 13, 15, 18, 21

Median 14

Mean 7+11+13+15+18+21=75 divided by 7=70 5 left

Range 14 ο:D ο

2) 20, 5, 11, 19, 10, 14, 19

Mode 19

5, 10, 11, 14, 19, 20

Median 13.50

Mean 5+10=15+10=25+11=36+14=50+19=69+20=89 divided by 6= π¦ sorry I will finish it later.

3) 7, 10, 11, 3, 20, 7, 7, 10

4) 8, 16, 18, 10, 9, 6, 17, 8, 18

5) 8, 6, 4, 20, 20, 2, 3, 15

1) 21 , 15 , 18 , 11 , 13 , 7

7, 11, 13, 15, 18, 21

Mode: there are no repeated numbers.

Mean: 7+11+13+15+18+21=85 6 divided by 85=

Median: 28 divided by 2=14

Range: 7 and 21

2) 20, 5, 11, 19, 10, 14, 19

5, 10, 11, 14, 19, 19, 20

Mode: 19

Mean: 5+10+11+14+19+19+20=84 7 divided by 84=

Median: 14

Range: 5 and 20

3) 7, 10, 11, 3, 20, 7, 7, 10

3, 7, 7, 7, 10, 10, 20

Mode: 7 and 10

Mean: 3+7+7+7+10+10+20=54 7 divided by 54=

Median: 7

Range: 3 and 20

4) 8, 16, 18, 10, 9, 6, 17, 8, 18

6, 8, 8, 9, 10, 16, 17, 18, 18

Mode: 8 and 18

Mean: 6+8+8+9+10+16+17+18+18=

Median: 10

Range: 6 and 18

5) 8, 6, 4, 20, 20, 2, 3, 15

2, 3, 4, 6, 8, 15, 20, 20

Mode: 20

Mean: 2+3+4+6+8+15+ 20+20=

Median: 8

Range: 2 and 20

Rest doing later

1) 21 , 15 , 18 , 11 , 13 , 7

7, 11, 13, 15, 18, 21

Mode: there are no repeated numbers.

Mean: 7+11+13+15+18+21=85 6 divided by 85=14.1

Median: 28 divided by 2=14

Range: 7 and 21

2) 20, 5, 11, 19, 10, 14, 19

5, 10, 11, 14, 19, 19, 20

Mode: 19

Mean: 5+10+11+14+19+19+20=84 7 divided by 84=12

Median: 14

Range: 5 and 20

3) 7, 10, 11, 3, 20, 7, 7, 10

3, 7, 7, 7, 10, 10, 20

Mode: 7 and 10

Mean: 3+7+7+7+10+10+20=54 7 divided by 54=07.6

Median: 7

Range: 3 and 20

4) 8, 16, 18, 10, 9, 6, 17, 8, 18

6, 8, 8, 9, 10, 16, 17, 18, 18

Mode: 8 and 18

Mean: 6+8+8+9+10+16+17+18+18=

Median: 10

Range: 6 and 18

5) 8, 6, 4, 20, 20, 2, 3, 15

2, 3, 4, 6, 8, 15, 20, 20

Mode: 20

Mean: 2+3+4+6+8+15+ 20+20=78 8 divided by 78= 09.6

Median: 8

Range: 2 and 20

Liz…remember the range is biggest number take away the smallest number. That will give you the answer and range.

Thanks Ms Bradbury π

Range

1) 21-7=14

2) 20-5=15

3) 20-3=17

4) 18-6=12

5) 20-2=18

Rearranging

7, 11, 13, 15, 18, 21

mode

There are no repeated ones.

Median

The middle number are 13 and 11.

Range

The range is 7 to 21.

Mean

7+11+13+15+18+21=85 85 divided by 6 = 14.1666666666667

Rearranging

5, 10, 11, 14, 19, 19, 20

Mode

There are 2 nineteens.

Median

The middle number is 14.

Range

The range is 5 to 20.

Mean

5+10+11+14+19+19+20=98 98 divided by 7=14

Rearranging

3, 7, 7, 7, 10, 10 , 11, 20

Mode

There are 3 sevens and 2 tens.

Median

The middle numbers are 7 and 10.

Range

The range is 3 to 20.

Mean

3+7+7+7+10+10+11+20=75 75 divided by 8 = 9.375

Rearranging

6, 8, 8, 9, 10, 16, 17, 18, 18

Mode

There are 2 eights and 2 eighteens.

Median

The middle number is 10.

Range

The range is 6 to 18.

Mean

6+8+8+9+10+16+17+18+18=110 110 divided by 9= 12.2222222222222

Rearranging

2, 3, 4, 6, 8, 15, 20, 20

Mode

There are only 2 twenty’s.

Median

The middle numbers are 6 and 8.

Range

The range is 2 to 20.

Mean

2+3+4+6+8+15+20+20=78 78 divided by 9.75

Mode- Which number you see the most

Median- Add and divide

Mean- middle number

Range- little number- big number

1)21, 15, 18, 11, 13, 7

there is no mode.

Median-14. 16666667

Mean- 18

Range- 7, 11, 13, 15, 18, 21

2) 20, 5, 11, 19, 10, 14, 19

Mode- 19

Median-14

Mean- 19

Range- 5, 10, 11, 14, 19, 19, 20

3) 7, 10, 11, 3, 20, 7, 7, 10,

Mode- 7

Median- 9.375

Mean- No mean

Range- 3, 7, 7, 7, 10, 10, 11, 20

4) 8, 16, 18, 10, 9, 6, 17, 8, 18

Mode- 8 and 18

Median- 12.22222222

Mean- 9

Range-6, 8, 8, 9, 10, 16, 17, 18, 18

5) 8, 6, 4, 20, 20, 2, 3, 15

Mode- 20

Median- 9.75

Mean- no mean

Range- 2, 3, 4, 6, 8, 15, 20, 20

1) 21 , 15 , 18 , 11 , 13 , 7

Mode – no mode

Median 18 11 are he middle

Mean 21+15+18+11+13+7=163×11= 14.8181818

Range 7, 11, 13, 15, 18, 21

2) 20 , 5 , 11 , 19 , 10 , 14 , 19

Mode 19

Median 19

Mean 80.9

Range 5, 10, 11, 14, 19, 19, 20

3) 7 , 10 , 11 , 3 , 20, 7, 7, 10

Mode 7

Median no median

Mean 65.5

Range 3, 7, 7, 7, 10, 10, 20

4) 8 , 16 , 18 , 10 , 9 , 6 , 17, 8, 18

Mode is no mode

Median 18

Mean 93.8

Range 6, 8, 8, 9, 10, 16, 17, 18, 18

5) 8 , 6 , 4 , 20 , 20, 2, 3, 15

Mode 20

Median 20

Mean 63.75

Range 2, 3, 4, 6, 8, 15, 20, 20