Gazer's Digest

THE STEM AND LEAF DIAGRAM

Median, Mean, and Mode of data

March 03, 2021

The heights (mm) of 17 plants are as follows.

60, 32, 40, 35, 53, 46, 32, 58, 31, 48, 62, 56, 37, 54, 41, 32, 52

Let’s show the heights in an ordered (in increasing order) stem and leaf diagram.

STEM
LEAF
3
1
2
2
2
5
7
4
0
1
6
8
5
2
3
4
6
8
6
0
2

3 | 1 = represents 31 mm plant

 

MEDIAN

What is the median height?

You can use the stem and leaf diagram to find the middle value. Cross out the smallest and  the highest value from each end. The smallest value is 31 mm and the highest value is 62 mm.

STEM
LEAF
3
1
/
2
/
2
/
2
/
5
/
7
/
4
0
/
1
/
6
8
/
5
2
/
3
/
4
/
6
/
8
/
6
0
/
2
/

46 mm is the median.

 

MODE

What is the most frequently occurring height? 32 appears three times, the other heights appear only once.

STEM
LEAF
3
1
2
2
2
5
7
4
0
1
6
8
5
2
3
4
6
8
6
0
2

32 mm is the mode.

 

MEAN

What is the average height?

31 + 32 + 32 + 32 + 35 + 37 + 40 + 41 + 46 + 48 + 52 + 53 + 54 + 56 + 58 + 60 + 62 = 769

769 ÷ 17 = 45.2353

45.2353 mm is the mean.

 

 

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