D.RE.04.02 Order a given set of data, find the median, and specify the range of values.

Median Mean Mode Range
Hey diddle diddle, the median
’ s the middle,
You add then divide for the mean.
The mode is the one that you see the most,
And the range is the difference between.

Statisticians figure the range, median, mode, and mean of data collected.

This is just a different way of looking at numbers.

The data collected is the number of whales.

/ / / / / / / / / /
15 19 19 20 23 23 25 27 31 36
Step one- Put the data in order from least to greatest.

/ / / / / / / / / /
Median
23
/ / / /
/
Hey diddle diddle
The medians in the middle

/ / / / / / / / / /
15+ 19+ 19 +20+ 23+ 23+ 25+ 27+ 31 +36
= 238 238 ÷ 10= 23.8
Mean
23.8
You add and then divide for the mean.

/ / / / / / / / / /
Mode
19 23
19 23
15 19 19 20 23 23 25 27 31 36
The mode is the one that you see the most.

/ / / / / / / / / /
Range
21
15 19 19 20 23 23 25 27 31 36
36-15 = 21
And the range is the difference between.

Just remember this poem
Median Mean Mode Range
Hey diddle diddle, the median
’ s the middle,
You add then divide for the mean.
The mode is the one that you see the most,
And the range is the difference between.

Now you try it!
Basketball scores
Step one – Put the numbers in order
10 12 14 16 23

Hey diddle diddle, the median
’ s the middle,
14
You add then divide for the mean .
10 + 12 + 14 + 16 + 23 = 75
75 ÷ 5 = 15
The mode is the one that you see the most, No mode
And the range is the difference between.
Greatest – least
23-10= 13

Step one – Put the numbers in order
78 80 83 95 95

Hey diddle diddle, the median
’ s the middle,
83
You add then divide for the mean .
78 + 80 + 83 + 95 + 95 =
431 ÷ 5 = 86
The mode is the one that you see the most, 95
431
And the range is the difference between.
Greatest – least
95-78= 17

3 1 5 1 2 3 4 5 6 1 2 3 1
Step one – Put the numbers in order
1 1 1 1 2 2 3 3 3 4 5 6

Hey diddle diddle, the median
’ s the middle,
2 And 3
1 +1 + 1 +1+2+2+
You add then divide for the mean .
3+3+3+4+5+6 =
32 ÷ 12= 2 R 8
32
The mode is the one that you see the most, 1
And the range is the difference between.
Greatest – least
6-5= 1

Number of Chocolate Chips in a Cookie
Step one – Put the numbers in order.
5 5 7 8 8 9 9 9 10 10 10 10 10 11
12 12 12 12 14 15 15

5 5 7 8 8 9 9 9 10 10 10 10 10 11 12 12
12 12 14 15 15
Hey diddle diddle, the median
’ s the middle,
10
5+ 5+7+8+8+9+9+9+ 10+10+
You add then divide for the mean .
The mode is the one that you see the most,
10+10+10+11+12+12+12+ 12+
14+15+15=
213
213 ÷ 21=
10
10 R 3
And the range is the difference between.
Greatest – least
15-5= 10

Median Mean Mode Range
Hey diddle diddle, the median
’ s the middle,
You add then divide for the mean.
The mode is the one that you see the most,
And the range is the difference between.