Construct a data set with six different items
so that the mean is 13 and the median
is 10.
Answers
Answer:
Step-by-step explanation:
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.
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