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By definition yes. The median is the number which is exactly in the middle of a set of numbers. The first quartile is the point where 25% of the numbers are to the left, and 75% of the numbers are to the right.
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In a box-and-whisker plot what fraction of the data is greater than the first quartile?
57 is not right
Why is the range always greater than the IQR?
Because the IQR excludes values which are lower than the lower quartile as well as the values in the upper quartile.
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
Can the mean be greater than the median?
Yes.
What are the upper and lower quartiles?
The upper quartile of a set of data is a value such that a quarter of the observations are greater than that value. The lower quartile is similarly defined as the value such that a quarter of the observations are less than that value.
Can the median be greater than the 1st quartile in a data set with 1000 values?
The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.The median must be at least as great as the first quartile in any data set. Normally it would be greater.
What does quartile in math?
Quartiles in statistics are three values such that the lower quartile, second quartile (better known as the median) and upper quartile divide up the set of observations into four subsets with equal numbers in each subset.a quarter of the observations are smaller than the lower quartile,a quarter of the observations are between the lower quartile and the median,a quarter of the observations are between the median and the upper quartile, anda quarter of the observations are greater than the upper quartile,
What is quartiles in math?
The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.The quartiles for a set of data are three values - the lower quartile, the median and the upper quartile - such that they divide the data set into four parts with an [approximately] equal number of observations in each. Thus:a quarter of all the observations are smaller than the lower quartile,a quarter of all the observations are between the lower quartile and the median,a quarter of all the observations are between the median and the upper quartile, anda quarter of all the observations are greater than the upper quartile.
What is the difference between quartile and median?
Median is found by the middle number in a sorted data set. So half of the numbers are greater than the median, and half are below the median. Quartile represents one fourth (or 25%) of the data set. They are usually labeled something like first, second, third, fourth (or sometimes top quartile, bottom quartile). For example, if 24 people are in a class and take a test. 24/4 = 6, so the top six grades would be in the top quartile (I don't remember if this is considered first or fourth). If you are in the top quartile, then you did better than at least 75% of the whole class. Since 24 is even, there is no 'middle number', so the arithmetic average of number 12 & 13 are taken to find the median.
Is the third quartile greater than the first quartile with a data set consisting of 1000 values that are all different?
The value of any element in the third quartile will be greater than the value of any element in the first quartile. But both quartiles will have exactly the same number of elements in them: 250.
Median or the first quartile is least affected by one value which is significantly higher or lower than the rest?
An outlier.
In a box-and-whisker plot what fraction of the data is greater than the first quartile?
57 is not right
Why is the range always greater than the IQR?
Because the IQR excludes values which are lower than the lower quartile as well as the values in the upper quartile.
When skewed right is the mean greater than median?
When a distribution is skewed to the right, the mean is greater than median.
How do box plots describe data?
Box [and whisker] plots show 5 key statistics of a set of numerical data. It is of no use for qualitative data. From the smallest to the largest, the statistics plotted are:The minimum valueThe lower quartile (the value of the variable that is greater than a quarter of the observations)The median (the value of the variable that is greater than half the observations)The upper quartile (the value of the variable that is greater than three quarters of the observations)The maximum value.(In slightly refined versions, outliers are separately identified).The median is a measure of central tendency (average value). The difference between the quartiles is a measure of dispersion or spread around the average. The relative values of the five indicate whether or not the data set is skewed.Box [and whisker] plots show 5 key statistics of a set of numerical data. It is of no use for qualitative data. From the smallest to the largest, the statistics plotted are:The minimum valueThe lower quartile (the value of the variable that is greater than a quarter of the observations)The median (the value of the variable that is greater than half the observations)The upper quartile (the value of the variable that is greater than three quarters of the observations)The maximum value.(In slightly refined versions, outliers are separately identified).The median is a measure of central tendency (average value). The difference between the quartiles is a measure of dispersion or spread around the average. The relative values of the five indicate whether or not the data set is skewed.Box [and whisker] plots show 5 key statistics of a set of numerical data. It is of no use for qualitative data. From the smallest to the largest, the statistics plotted are:The minimum valueThe lower quartile (the value of the variable that is greater than a quarter of the observations)The median (the value of the variable that is greater than half the observations)The upper quartile (the value of the variable that is greater than three quarters of the observations)The maximum value.(In slightly refined versions, outliers are separately identified).The median is a measure of central tendency (average value). The difference between the quartiles is a measure of dispersion or spread around the average. The relative values of the five indicate whether or not the data set is skewed.Box [and whisker] plots show 5 key statistics of a set of numerical data. It is of no use for qualitative data. From the smallest to the largest, the statistics plotted are:The minimum valueThe lower quartile (the value of the variable that is greater than a quarter of the observations)The median (the value of the variable that is greater than half the observations)The upper quartile (the value of the variable that is greater than three quarters of the observations)The maximum value.(In slightly refined versions, outliers are separately identified).The median is a measure of central tendency (average value). The difference between the quartiles is a measure of dispersion or spread around the average. The relative values of the five indicate whether or not the data set is skewed.
How do i do a box and whisker plots?
To start, you need to identify the median of your set of data. After you have the median, split the remaining data into 2 groups, one with everything smaller than the median, one with everything larger. You then take the median of the 2 groups you just found in the previous step, the smaller one is called the first quartile and the larger one is called the 3rd quartile. Next, you have to find the smallest and largest numbers in the entire original set of data. Now, you should have 5 numbers, the minimum, 1st quartile, median, 3rd quartile, and maximum. To make our actual plot, you plot a scale along one axis and make a tick mark for each of the 5 values we found before. Then, create a line connection the minimum to the 1st quartile and the 3rd quartile to the maximum. Finally, connect the 1st quartile to the 3rd quartile with a rectangle and you're done! In addition, some plots add one more feature to make it easier to spot outliers. What they do is start by finding the difference between the 1st and 3rd quartile which is called the IQR (Inter-Quartile Range). Then, you see if every number less than the 1st quartile (and larger than the 3rd) is more than 1.5 times the IQR away. If it is, you remove the line going through any such values and place a little box at the point. Any place that gets a box can be called an outlier.
What are some numbers that the mean is bigger than the median and the median is greater than the mode?
7,6,4,92,57,32
