Median, mode and range

The Maths Habit

Who is the middle height?

ABCDECAEBDShortest to tallestE: line them up first. C only stands in the middle.

Put the numbers in order, smallest first.

725
2, 5, 7
10481
1, 4, 8, 10
6362
2, 3, 6, 6

Median
The middle number when the numbers are in order.
median
Mode
The number you see most often.
mode
Range
The biggest number take away the smallest.
range

mediansmallestbiggest
  1. 1Put in order.Smallest first. Write every tile, even the ones that are the same.
  2. 2Cross off to the middle.Cross off one from each end. The tile left is the median.

Find the median.

831159
1Put in order.
358911
2Cross off to the middle.
Median8

Find the median.

6142107
1Put in order.
2671014
2Cross off to the middle.
Median7

Find the median.

831159
1Put in order.
358911
2Cross off to the middle.
Median8
1Put in order.2Cross off to the middle.Median

Find the median.

1241596
1Put in order.
4691215
2Cross off to the middle.
Median9

Find the median.

831159
1Put in order.
358911
2Cross off to the middle.
Median8
1Put in order.2Cross off to the middle.Median

Find the median.

5138211167
1Put in order.
2578111316
2Cross off to the middle.
Median8

Find the median.

831159
1Put in order.
358911
2Cross off to the middle.
Median8
1Put in order.2Cross off to the middle.Median

Find the median.

941247
1Put in order.
447912
2Cross off to the middle.
Median7

1Put in order.2Cross off to the middle.Median

1Find the median.

1031275
1Put in order.
3571012
2Cross off to the middle.
Median7

2Find the median.

611296
1Put in order.
266911
2Cross off to the middle.
Median6

3Find the median.

14817510129
1Put in order.
58910121417
2Cross off to the middle.
Median10

4Find the median.

3959174
1Put in order.
1345799
2Cross off to the middle.
Median5

mediansmallestbiggest
moderange
  1. 1Put in order.Smallest first. Write every tile, even the ones that are the same.
  2. 2Cross off to the middle.Cross off one from each end. The tile left is the median.
  3. 3Find the one you see most.This is the mode.
  4. 4Biggest take away smallest.This is the range.

Find the median, mode and range.

82942
1Put in order.
22489
2Cross off to the middle.
Median4
3Find the one you see most.
Mode2
4Biggest take away smallest.
Range9−2=7

Find the median, mode and range.

1163117
1Put in order.
3671111
2Cross off to the middle.
Median7
3Find the one you see most.
Mode11
4Biggest take away smallest.
Range11−3=8

Find the median, mode and range.

82942
1Put in order.
22489
2Cross off to the middle.
Median4
3Find the one you see most.
Mode2
4Biggest take away smallest.
Range9−2=7
1Put in order.2Cross off to the middle.Median3Find the one you see most.Mode4Biggest take away smallest.Range

Find the median, mode and range.

5121058
1Put in order.
5581012
2Cross off to the middle.
Median8
3Find the one you see most.
Mode5
4Biggest take away smallest.
Range12−5=7

Find the median, mode and range.

82942
1Put in order.
22489
2Cross off to the middle.
Median4
3Find the one you see most.
Mode2
4Biggest take away smallest.
Range9−2=7
1Put in order.2Cross off to the middle.Median3Find the one you see most.Mode4Biggest take away smallest.Range

Find the median, mode and range.

9146111438
1Put in order.
3689111414
2Cross off to the middle.
Median9
3Find the one you see most.
Mode14
4Biggest take away smallest.
Range14−3=11

Find the median, mode and range.

82942
1Put in order.
22489
2Cross off to the middle.
Median4
3Find the one you see most.
Mode2
4Biggest take away smallest.
Range9−2=7
1Put in order.2Cross off to the middle.Median3Find the one you see most.Mode4Biggest take away smallest.Range

Find the median, mode and range.

129149111513
1Put in order.
991112131415
2Cross off to the middle.
Median12
3Find the one you see most.
Mode9
4Biggest take away smallest.
Range15−9=6

Median, mode and range worksheet, page 1

Median, mode and range worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. The median of 4, 9, 6 is 6

    Right

  2. The median of 8, 2, 5 is 2

    Wrong: put them in order first

  3. The mode of 3, 7, 7, 1 is 7

    Right

  4. The range of 5, 12, 9 is 12

    Wrong: take away the smallest

  5. The range of 6, 2, 10 is 8

    Right

  1. Find the median of 12, 6, 2 and 8.

    7 (halfway between 6 and 8)

  2. Five numbers have a mode of 4, a median of 6 and a range of 8. Write down five numbers that work.

    e.g. 4, 4, 6, 9, 12

  3. Add one number to 4, 6, 9, 11 and 13 so the range is 12.

    16 (or 1)

  1. Find the median, mode and range of 7, 3, 9, 3 and 5.

    median 5, mode 3, range 6
    1Put in order.335792Cross off tothe middle.Median3Find the oneyou see most.Mode4Biggest takeaway smallest.Range−=

  2. Find the median, mode and range of 8, 12, 5, 12 and 9.

    median 9, mode 12, range 7
    1Put in order.2Cross off tothe middle.Median3Find the oneyou see most.Mode4Biggest takeaway smallest.Range−=

  3. Find the median, mode and range of 6, 11, 4, 9, 11, 2 and 8.

    median 8, mode 11, range 9
    MedianModeRange
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