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The mean of a set of data is the middle value If there are two middle values it is the mean of the two middle values?
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How do use median in math?
To find the median of data, you first order all the data from smallest to largest. The second step is to find the middle value on the list. If there are an odd number of values, this is easy, you simply take the middle value and that's the median. If there are an even number of values, you find where the middle would be, and then look at the numbers either side and take the mean of those two numbers, and that's your median.
Why are mean median and mode considered measures of central tendency?
The mean (average value), the median (middle value), and the mode (most frequently occurring value) are all important values.
What is the sum of the data divided by the number of data values?
It is the mean average of number of collected data values.
What is the formula for getting the median of the ungrouped data?
You will need to put the un-grouped data in ascending or descending order. If you have an odd number of data values the formula for the median value is (n+1)/2. Example my data in ascending order is 0, 2, 4, 5, 7, 8, 9. I have 7 data values. The median is the value (7+1)/2 = 4th value from left or right which is 5. For an even number of data values, you will need to calculate the median and it may not be a data value. It will be the mean of the two center values. Use the formula n/2 to get the left most value. Example my data in ascending order is 0, 2, 4, 5, 7, 8. I have 6 data values. The left most value I will use to calculate the median is 6/2 = 3rd. The 3rd value from the left is 4. The next value is 5. Median is (4+5)/2 = 4.5.
Which measure of central tendency equals the sum of the data values in a set divided by the number of data values?
mean
There are 100 values in the set The median is 90 the mean is 95 Increase the highest value in the data set by 200 Now what are the median and the mean of the data set?
The median is the middle value (or mean of the two middle values if there are an even number of values) and so is unaffected by an increase in the highest data value. It is still 90. The mean was 95, so the total for the data set was 95x100 = 9500. If the highest data value is increased by 200, the data set total is also increased by 200, giving a new data set total of 9500 + 200 = 9700, so the new mean is 9700/100 = 97.
Definition of mean median and mode?
Mean is the average of the data set values. Median is the middle number in the data set (set up in ascending or descending order). Mode is the data value (or values) that occur the most number of times.
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.
Can average be regarded as best for all times all data?
No. The three averages are mean, mode and median. Mean is the total values divided by the number of values; mode is the number occurring most often; median is the middle value (or the value halfway in between the two middle values) when all values are in order. What you have described is basically the maximum (highest/best value) times the number of values, which has no major use in statistics.
How are mean and median alike?
The mean of a set of data is all the values in that data added together and then divided by the number of values. For instance, if you had the data set 1, 3, 4, 6, 8, you would add them all up to get 22, and then divide by 5 to get 4.4 which is the mean. The median is the middle value of all data values. In the above data set, that is 4, and so 4 would be the median. Mean and median are alike in that they both attempt to find the "middle" of the data, and are both considered averages.
How do use median in math?
To find the median of data, you first order all the data from smallest to largest. The second step is to find the middle value on the list. If there are an odd number of values, this is easy, you simply take the middle value and that's the median. If there are an even number of values, you find where the middle would be, and then look at the numbers either side and take the mean of those two numbers, and that's your median.
What is the sum of values in a data set divided by the number of values?
It is the mean or average value of the n values. [Σn xi]/n = xmean
What is mean median and mode in a group of data?
All three are types of averages. The mean is what the typical person means when he says "average": add up all the values and divide by the number of values. The median is the middle value: if you arrange the numbers from low to high and then take the one exactly in the middle of the sequence (or the mean of the two middle values, if there are an even number), that's the median. The mode is the value that occurs most often.In what statisticians call a normal distribution, the mean, median, and mode will all be the same or at least very close. However, many sets of data are not "normal distributions", and in those the three values can be very different. For example, consider the set 5,5,5,20,20,55,100. The mode is 5, the median is 20, and the mean is 30.
Median of a data is 20 If each is obesrvation in the data is increased by 2 then what is the new median. Need descriptive answer?
The median of a set of values or data is the value which lies half-way along the series when it is arranged in ascending or descending order. If there are an even number of data entries then the median is the mean of the middle two values. 1) If there are an odd number of values then there will be the same number of values higher than the median as there are below the median. An increase of 2 to each member of the set does not affect the order and the existing median remains the middle placed value So, 20 becomes 22. 2) Where there are an even number of values then both middle values will increase by 2 (a total increase of 4). The median is the mean of these two values and therefore increases by 2 (as the increase of 4 ÷ 2 = 2). So, 20 becomes 22.
A data set has 9 values The mean of the set is 5 When a tenth value is added the mean becomes 6 What is the tenth value?
15
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.
For an odd number of data how is the median computed?
For an odd number of data values, the median is the middle number, the [(n+1)/2]th numberi.e. for 7 data values, (7 +1)/ 2 = 4, and the 4th is the middle value, or median.*For an even number of values, the median is the mean of the two middle numbers,i.e. one-half the sum of the two middle values (add n/2nd value and n/2+1st values and divide by 2).Examples:Median of 1, 3, 2 reordered as 1, 2, 3 = median 2Median of 6, 5, 3, 1 reordered as 1, 3, 5, 6 = median 4 (3+5 divided by 2)
