A student prateek scored following mark in 6 subject. Find mean median and mode :8,6,5,8,7,10.solve this problem
Answers
Answer:
This method of calculating the mean for a table of data is exactly the same as the one used with a list of data.
We have still added up all the values and divided by the number of values, but this way is a bit more efficient!
Finding the median from a table of dataValueFrequency132532445363We know that there are 20 data values in our table. If you imagine the 20 values
written out, there would be two values in the middle. These would be the 10th and
11th values, and the median would be the mean of these two "middle values".
From the list below we can see that the "middle values" are 3 and 4:
1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6
The median would therefore be (3+4)÷2 = 3.5
So how do we do this from a table?
Because there are 20 values, we know that we need to find the mean of the 10th and
11th values. To find these values we need to count through the table until we get to them.
Look at the table. The value "1" has a frequency of 3, so the first three values in the table are "1"s.
The value "2" has a frequency of 5, so the next 5 values are all "2"s. This takes us up to the 8th value.
The next 2 values are "3"s, which takes us up to the 10th position in the data, so the 10th value must be a "3".
The next 4 values are "4"s, so the 11th value must be a "4".
We can now see that the 10th and 11th values are a "3" and a "4", so the median is 3.5.
Finding the mode and range from a table of dataValueFrequency132532445363Finding the mode is much easier from a table, because the frequency column
tells us how many times each value occured. We can find the value which
occured the most often by looking for the value with the highest frequency.
In this case we can see that the value with the highest frequency is "2".
The mode of this set of data is therefore 2
Finding the range is also easy from a table. To find the highest and lowest data
values, you simply look for the highest and lowest values in the values column.
In this case the lowest value is "1" and the highest value is "6", and 6 - 1 = 5.
The range of this set of data is therefore 5
Practice Question (for data in a table)
Work out the each of the measures, then click on the button marked  to see whether you are correct.
ValueFrequencyValue × Frequency0317210384151TotalsYou can fill in the boxes to help you with your working but they will not be marked.
30 couples were asked how many children they have.
The results are shown in the table on the left.
(a) What is the mean number of children?

(b) What is the median number of children?

(c) What is the mode?

(d) What is the range?