+0

# What is the mode of the data distribution? And the median?

0
320
1

I'm working on a Stem and Leaf plot by the way.

2 |2 3

3 |1 6 8

4 |2 7 7 7

5 |3 4 4 6 6

6 |1 4 4 5

Guest Jun 21, 2015

#1
+423
+10

Reminder: "Mode" is the most common, "median" is the middle value, and "mean" is the average

For modal, look at each row and count how often each number happens (Do not mix the same number on different rows together in this counting). Try and find what occurs the most of any number.

You should find that 7 is the only number to occur 3 (or more) times. This happens on row 4. This means the mode is 4|7 which I assume is 47 (Most stem and leaf diagrams have a "key" to explain what each number means).

For median, quite simply this is the "middle" value.

For a rather manual method, look at the diagram you have:

2 |2 3

3 |1 6 8

4 |2 7 7 7

5 |3 4 4 6 6

6 |1 4 4 5

Now start counting from both ends, possibly labeling each number as you go to keep track

2 |21 32

3 |13 64 85

4 |26 77 78 79

5 |39 48 47 66 65

6 |14 43 42 51

In this case, there are two middle values: 4|7 and 5|3. When this happens, you want to find the value that's between these two (the average of them). This is (47 + 53)/2 = 50

To quickly check: 50 - 47 = 3, and 53 - 50 = 3. These two numbers must be exactly the same (and they are).

Of course there are faster methods on longer stem and leaf diagrams, but it's all pretty much based on preference and there's no truly "good" method to finding the median quickly.

Sir-Emo-Chappington  Jun 21, 2015
Sort:

#1
+423
+10

Reminder: "Mode" is the most common, "median" is the middle value, and "mean" is the average

For modal, look at each row and count how often each number happens (Do not mix the same number on different rows together in this counting). Try and find what occurs the most of any number.

You should find that 7 is the only number to occur 3 (or more) times. This happens on row 4. This means the mode is 4|7 which I assume is 47 (Most stem and leaf diagrams have a "key" to explain what each number means).

For median, quite simply this is the "middle" value.

For a rather manual method, look at the diagram you have:

2 |2 3

3 |1 6 8

4 |2 7 7 7

5 |3 4 4 6 6

6 |1 4 4 5

Now start counting from both ends, possibly labeling each number as you go to keep track

2 |21 32

3 |13 64 85

4 |26 77 78 79

5 |39 48 47 66 65

6 |14 43 42 51

In this case, there are two middle values: 4|7 and 5|3. When this happens, you want to find the value that's between these two (the average of them). This is (47 + 53)/2 = 50

To quickly check: 50 - 47 = 3, and 53 - 50 = 3. These two numbers must be exactly the same (and they are).

Of course there are faster methods on longer stem and leaf diagrams, but it's all pretty much based on preference and there's no truly "good" method to finding the median quickly.

Sir-Emo-Chappington  Jun 21, 2015

### 21 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details