Find mean, mode, median and range of 2.1,1.3,1.4,2.2
Answers
Answer:
mode =2 .
range =11-1=10.
median =1;2;2;2;3;4;11=2is. median
Answer:
so mode is 3
Step-by-step explanation:
Calculating the Mean, Median, Mode and Range for simple data
The table below shows how to calculate the mean, median, mode and range for two sets of data.
Set A contains the numbers 2, 2, 3, 5, 5, 7, 8 and Set B contains the numbers 2, 3, 3, 4, 6, 7.
Measure
Set A
2, 2, 3, 5, 5, 7, 8
Set B
2, 3, 3, 4, 6, 7
The Mean
To find the mean, you
need to add up all the
data, and then divide
this total by the number
of values in the data.
Adding the numbers up gives:
2 + 2 + 3 + 5 + 5 + 7 + 8 = 32
There are 7 values, so you divide
the total by 7: 32 ÷ 7 = 4.57...
So the mean is 4.57 (2 d.p.)
Adding the numbers up gives:
2 + 3 + 3 + 4 + 6 + 7 = 25
There are 6 values, so you divide
the total by 6: 25 ÷ 6 = 4.166...
So the mean is 4.17 (2 d.p.)
The Median
To find the median, you
need to put the values
in order, then find the
middle value. If there are
two values in the middle
then you find the mean
of these two values.
The numbers in order:
2 , 2 , 3 , (5) , 5 , 7 , 8
The middle value is marked in
brackets, and it is 5.
So the median is 5
The numbers in order:
2 , 3 , (3 , 4) , 6 , 7
This time there are two values in
the middle. They have been put
in brackets. The median is found
by calculating the mean of these
two values: (3 + 4) ÷ 2 = 3.5
So the median is 3.5
The Mode
The mode is the value
which appears the most
often in the data. It is
possible to have more
than one mode if there
is more than one value
which appears the most. The data values:
2 , 2 , 3 , 5 , 5 , 7 , 8
The values which appear most
often are 2 and 5. They both
appear more time than any
of the other data values.
So the modes are 2 and 5
The data values:
2 , 3 , 3 , 4 , 6 , 7
This time there is only one value
which appears most often - the
number 3. It appears more times
than any of the other data values.
So the mode is 3
The Range
To find the range, you
first need to find the
lowest and highest values
in the data. The range is
found by subtracting the
lowest value from the
highest value. The data values:
2 , 2 , 3 , 5 , 5 , 7 , 8
The lowest value is 2 and the
highest value is 8. Subtracting
the lowest from the highest
gives: 8 - 2 = 6
So the range is 6
The data values:
2 , 3 , 3 , 4 , 6 , 7
The lowest value is 2 and the
highest value is 7. Subtracting
the lowest from the highest
gives: 7 - 2 = 5
So the range is 5
Practice Question (for simple data)
Work out the mean, median, mode and range for the simple data set below,
then click on the button marked Click on this button below to see the correct answer to see whether you are correct.
A data set contains these 12 values: 3, 5, 9, 4, 5, 11, 10, 5, 7, 7, 8, 10
(a) What is the mean?
(b) What is the median?
(c) What is the mode?
(d) What is the range?
Calculating the Mean, Median, Mode and Range for a table of data
Sometimes we are given the data in a table. The methods for calculating mean, median, mode
and range are exactly the same, but we need to think carefully about how we carry them out.
In this section we will use one set of data in a table and calculate each measure in turn.
Example
A dice was rolled 20 times. On each roll the dice shows a value from 1 to 6.
The results have been recorded in the table below:
Value
Frequency
1
3
2
5
3
2
4
4
5
3
6
3
The frequency is the number of times each value occured.
For example, the value 1 was rolled 3 times, the value 2 was rolled 5 times and so on...
When we want to think about calculating the measures for this data set, it can be helpful
to think about what the numbers would look like if we wrote them out in a list:
1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6
We could just calculate the mean, median, mode and range from this list of data, using
the methods described in the first part of this section. The problem is that if there were
hundreds of values in the table then it would take a long time to write out the list of data
and even longer to do the calculations. It would be better if we could work directly from
the table to calculate the measures. The method for doing this is shown below.