# Why it is useful to fiNd the meaN mediaN aNd mode of a set of data?

when there are extreme values in the data

### Can ypu find the mean and median with data from a histogram?

You can estimate the median and the mean.

### Advantages and disadvantages of median in statistics?

MEDIAN Use the median to describe the middle of a set of data that does have an outlier. Advantages: • Extreme values (outliers) do not affect the median as strongly as they do the mean. • Useful when comparing sets of data. • It is unique - there is only one answer. Disadvantages: • Not as popular as mean.

### How can you find mean median and mode for GROUPED data?

Mean, median and mode are ways to find averages. The mode is the most common answer in a set of data. The median the number that is in the middle when the numbers are put in order. The mean is the statical average.

### Advantages and disadvantages of mean in statistics?

MEDIAN Use the median to describe the middle of a set of data that does have an outlier. Advantages: • Extreme values (outliers) do not affect the median as strongly as they do the mean. • Useful when comparing sets of data. • It is unique - there is only one answer. Disadvantages: • Not as popular as mean.

### How do you find the mean and median for dichotomous data types?

To find the mean, you all them all up and divide by how many ever there are. To find the median, you put them in order and the middle one is the median. If there are an even number of data, you take the two in the middle, add them together, then divide by 2.

### How do you find the median with an even data set?

The median is the mean of the middle two. For example, find the median of the set {1, 3, 4, 6, 9, 10, 15, 20}. There are 8 items in the data set, so the median is the mean of the middle two. The middle two are the 4th and 5th data items: 6 & 9 median = mean of 6 & 9 = (6 + 9)/2 = 7.5

### How can determining the mean and median and range help to analyze your experimental data?

Analyzing the mean, median, and range of your experimental data helps establish patters present in the data set. Analyzing the mean will define the quantitative average, analyzing the median will find the number that is center most, and analyzing the range will find the difference between the largest and smallest number in the data set. Good luck!

### Can you find the mean or median of a set of data from a histogram?

You can estimate them both.

### 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… Read More

### Does all data have a mean median or mode?

No, not all data sets have a mode but all data sets have a mean and median.

### How is a frequency distribution used?

it is used to find mean<median and mode of grouped data

### When do you use mean median and mode?

You use mean when you want to find the average of data. You use median to find the middle of a piece of data, ordered from least to greatest. If there is 2 medians, then find the average of those 2 numbers. You use mode when you are trying to figure out the most common piece of data. There can be more than 1 mode.

### What is mean and median?

mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group. Example of Median- 1,3,5,7,9,4,5 (put them in order and list them from least to greatest) 1,3,4,5,5,7,9 the median is 5!

### When is the mean not a valid statistic to describe a set of data?

The population data may be skewed and thus the mean is not a valid statistic. If mean > median, the data will be skewed to the right. If median > mean, the data is skewed to the left.

### When is the median more useful than the mean?

When the distribution has outliers. They will skew the mean but will not affect the median.

### When mean and median will be same?

It depends on the data set, but if you take the data set 1,2,3 2 is the median and to find the mean you have to add all the numbers and divide by the number of items so 1+2+3=6 and 6 divided by 3= 2 now the median is 2 and the mean is 2 so this is when they can be the same

### Should The mean or median be used in ordinal data?

The median is used when reporting ordinal data.

### When is each measure of central tendency most useful?

Mode: Data are qualitative or categoric. Median: Quantitative data with outliers - particularly if the distribution is skew. Mean: Quantitative data without outliers, or else approx symmetrical.

### Are the mean median and mode always numbers from a list of data?

the median and mode are but the mean is not

### Find the mean median modes and range of the data of the numbers 4 4 8 11 12 16 22?

Mean: 11 Median: 11 Mode: 4 Range: 18

### What is the median of 5 15 9 and 13?

median of {5, 15, 9, 13} is 11 To find the median of a dataset sort the data into order and the median is the middle one; if there are an even number of items in the dataset, then the median is the mean average of the middle two. {5, 15, 9, 13} → {5, 9, 13, 15} There are 4 data items, → median is mean of {9, 13} = (9 + 13) /… Read More

### What is the median of 15 min57sec and16min1sec?

The median of an even number of data points is the mean of the two that are central. Since you gave only 2 data points, the median is going to be the mean of the two data points, so 15'59" ■

### What measure of central tendency may not exist for all numeric data sets?

Measurement Scale Best measure of the 'middle' Numerical mode Ordinal Median Interval Symmetrical data- mean skewed data median Ratio Symmetrical data- Mean skewed data median

### How do you solve mode median and mean?

The mean is found by adding up the numbers, then dividing by how many numbers you have. The median is the middle of the group, so you sort the list of numbers highest to lowest, then find the number that is in the middle of the list. If the list has an even number of items, then you take the average(mean) of the two middle numbers to obtain the median. Mode is the most common… Read More

### What does mode median mean means?

Mean is an average of a list of numbers. Median is the middle of a list of numbers. Mode is the most common number in a list of numbers. Ex. 14 17 23 48 54, the Median would be 23, the mean would be 31.2, and the mode would be undefined. The mean, median, and mode are all measures of center for a data set. A measure of center is one way to get a… Read More

### 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… Read More

### Why do you have to order the data to calculate the median but not for the mean?

The median is the middle number of the distribution of data. That is why the data has to be sorted. To find the mean, add up all of the data, and divide by the number of data points. So it is not necessary to sort the data, to find the mean. At the median, half of the data points are greater than that, and half are less than that. Suppose you drove around town and… Read More

### What is the easiest to compute mean median or mode?

The mode is the only one of these measure which can be used with qualitative data: the mean or median are impossible to compute. Also, for a data set consisting of a relatively small number of observations of a discrete variable the mode or modal class is the easiest to find.

### What measure of center best represents data?

The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.

### Which measure summarizes all of the values of a data set with a single number?

The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available. The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available. The central tendency can be summarised by the mode, median or mean. For qualitative data, only the mode is available. The central tendency can be summarised by the mode, median or mean. For qualitative data… Read More

### Range median mode mean?

Range = greatest number of set - smallest number of set Median= arrange data in number order and find the middle number of set, if there are an even number of values find the middle of the 2 middle numbers Mode= most often occurring value Mean= average of data set

### What is the mean median mode and range for 2 2 2 2 5 6 6 9 11?

To find the mean of a set of data, you add up all the values and divide by the amount of values you have. 2+2+2+2+5+6+6+9+11=45 There are 9 values so 45/9=5 The mean is 5. To find the median, you order the data smallest to largest (already done) and take the middle value. There are 9 values, so the median is simply the 5th value, in this case the median is 5. To find the… Read More

### 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

### What is the median if the data was 142 170?

Since there are only two data the median is equal to the mean (142 + 170)/2 = 116.

### What is the word median mean in math terms?

what does median mean in math terms the middle number when the data are arranged in numerical order; if there is an even number in the data, the median is the mean of the 2 middle numbers FOR EXAMPLE: 6,7,7,8,9,10,11,12,13,14 9 and 10 are the 2 middle numbers if you want to find the total middle number than just split the number in half ANSWER..... there for the total middle number is 9.5.

### 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 is the median of 14?

With just one data point, the mean, median and mode are all the same as the data point itself. In this case, 14.

### Would you use mean mode median to average the points?

mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean

### In deciding which average to use which is most and worst reliable out of mean modal and median?

The mean is used for evenly spread data, and median for skewed data. Not sure when the mode should be used.

### How do you find mean median and mode in a data set?

To find the mode you add all the numbers together, then divide by the amount of numbers you added. To find the median you take the largest number, subtract the smallest number, divide that by two and add it to the smallest number.

### What are properties of mean mode and median?

Mean: Mean Possesses all the properties of an ideal average.It is affected by the extreme values. It can not be calculated for oper end frequency distribution. It can not be used in qualitative studies. Median: Median can be calculated for open end frequency distribution. It is useful for qualitative studies. It can be used for ordinal data. It is not based upon all observation. Mode: Mode is used mostly in business. It can be used… Read More

### What Percent of data is below the mean in a normal distribution?

In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.

### 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

### 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.

### How do you know which measure of central tendency best describes the data?

The answer will depend on the nature of the data. If the data are qualitative then the only option is the mode. If they are ordinal then you have a choice between the mode and median. The mode may be a better measure when the data are very skewed. Otherwise the median is usually better. For any higher level of measurement is is also possible to calculate the mean. In such cases the median or… Read More

### In a normally distributed data set which is greater mean median or mode?

In a normal distribution the mean, median and mode are all the same value.

### What is the mode median mean and range of 65?

The mode, median, and range of a single data point such as 65 are all the data point itself, 65 in this instance.

### When might you want to use the median to describe the center of a data set instead of then mean?

You would use the median if the data were very skewed, with extreme values.

### What is the Mathematical meaning of the median?

The median is the middle value in a set of data. It is the value that separates the higher half of the data from the lower half. If there is an even number of data points, the median is the average or mean of the two middle values. If there is an odd number, just arrange the data in order from smallest values to largest and the middle one is the median.