answersLogoWhite

0


Best Answer
  • Mean
add up all the values and divide by the number of values.
  • Median
Sort the values into order.

If there is an odd number of values, the median is the one in the middle;

otherwise there are an even number of values and the median is the mean of the middle two.

  • Mode
Look at the frequency of each value, or item (that is how many times each of the values appears). The mode is the one, or ones, with the highest frequency.

If all the values have the same frequency, there is no mode.

As no numerical calculation is done to the items themselves, the mode average can be used with non-numeric datasets, for example a survey of favourite colours - the most popular colour(s) (that is the ones with the highest count) will be the modal colour(s).

For example:

Consider the values: 2, 5, 4, 9, 8, 9, 2, 4, 2

Mean:

(2 + 5 + 4 + 9 + 8 + 9 + 2 + 4 + 2) / 9 = 45 / 9= 5

Median:

sorted: 2, 2, 2, 4, 4, 5, 8, 9, 9

9 values, so middle one is the 5th value = 4

Mode:

Frequencies: 2 (3), 4 (2), 5 (1), 8 (1), 9 (2)

Highest frequency: 3 for value = 2

Now consider: 2, 5, 4, 9, 8, 9, 2, 4, 2, 5

Mean:

(2 + 5 + 4 + 9 + 8 + 9 + 2 + 4 + 2 + 5) / 10 = 50 / 10 = 5

Median:

sorted: 2, 2, 2, 4, 4, 5, 5, 8, 9, 9

10 values, so want the mean of the middle two. The middle two are the 5th and 6th values = 4 & 5; so median = (4 + 5) / 2 = 9 / 2 = 4.5

Note that in this case, the median is not one of the values.

Mode:

Frequencies: 2 (3), 4 (2), 5 (2), 8 (1), 9 (2)

Highest frequency: 3 for value = 2

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How did you arrive at the values of following mean median and mode?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Find the mean,median,mode and range of the following values:17,7,11,13,2,12,7.?

What is the answer


Can the mean be smaller than the median for a set of data?

Yes. If the lower values tend to be farther below the median than the highest values are above the median, the mean is smaller than the median. why are write wrong


Is the mean and median similar?

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.


Is the mean equal to the median in a data set consisting of 1000 values that are all different?

If a data set consists of 1000 different values can the mean and the median be the same


Multiple values for the same set of numbers mean median or mode?

Any set of numbers can have only one mean and only one median but it can have as many modes as it has values.


If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?

If it is a symmetric distribution, the median must be 130.


You are trying to do a mean problem but you have 2 numbers in the middle what do you do?

You may be confusing mean with median. An arithmetic mean is, the sum of all the values ÷ the number of values. Consequently the number of values can be either odd or even. After arranging a set of values in ascending (or descending) order, the median is the value that lies half way along the series. When there are an even number of values the median is found by taking the mean of the middle two values. Example : 3, 5, 5, 7, 8, 8 The median of this set is (5 + 7) ÷ 2 = 6


Can the median ever be higher than the mean?

Yes, the median can be greater than the mean. It just depends on the values of the data. A simple series of 1,5,6 has 5 as the median, with a mean of 4.


What does the maths term median mean?

It is the value of all numbers in the range in which there are as many values above it as there are below it. For example for the ordered values 1,3,7,9,10,12,15,19,21 the median value is 10. It is not he same as the mean, or average, which is the sum divided by the number of values.


What is generally correct about the relation between the mode median and mean?

Of a set of data the mode is the most, the median is the middle value in ascending order and the mean is the sum of the values divided by the number of values.


Why calculate for the mean and median in relation to a sample?

Both the mean and median represent the center of a distribution. Calculating the mean is easier, but may be more affected by outliers or extreme values. The median is more robust.


In a normal curve what three values are equal?

mean, median and mode