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Give an example of a set of 6 test scores where the mean and the median have same value but the mode is different?
Sfeliciano81
2, 2, 5, 7, 9, 11.
Mean = Median = 6
Mode = 2
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∙ 14y ago
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What is the name of the middle value in an ordered set?
The middle value in an ordered set is the median. Example: In the set - 1, 3, 4, 11, 15, 17, 19 11 would be the median.
What does the term of median mean in math?
The median is the middle value of a list of numbers. In [1,6,34] the median value is 6.
How do you find the value of x that makes the median the given number?
32,23,15,30,12,X;the median+25
What quartile has the same value as the median?
The second quartile.
The middle value for a group of numbers is called the?
median
What is median value?
Median is Exactly found Middle set of the Value. To Computing Median is to list all Scores in Numerical Order 12, 15, 24, 10, 25 ( it will be Decreasing order) 10, 12, 15, 24, 25
What is a median?
The median of a set of values is the quantity at the mid-point, when the values are in ascending numerical order. For example, the median of the numbers 1, 3, 5, 7, 9 is 5. When there is an even number of terms, the median is the mean of the middle two terms. For example, the median of the numbers 1, 3, 5, 7 is 4.
Can the mode and the median have the same value?
Yes. For example, in the sequence {1,2,2,2,2,3,4,7} 2 is the median, and 2 is also the mode.
What is the average median IQ for a Sixty year old American female?
You need to decide whether you want the average or the median. An average is a measure of the central tendency of a group of scores that takes into account the value of each and every score in the group. A median identifies which score is half-way between the lowest and the highest scores.
Are the median and the mean always the same value?
No, not necessarily. They each measure central tendency but in different ways. The mean measures the average of all of the scores while the mean is the middle score. In a normal distribution the median and mean must be equal. In other data sets, they may or may not be equal. For example, the set {0, 1, 2, 3, 5, 7, 10} has a mean of 28/7 = 4 and a median of 3.
What is median-median point?
It's the point for a set of points whose x-value is the median of all the given x-values and whose y-value is the median of all the given y-values. For example: (1,2) (2,1) (3,5) (6,4) (10,7) the median-median point would be (3,4)
What is the statistical difference between a mean and a median?
Mean and median are two of the measures of central tendency. They are numbers that give you information about a group of scores. This is important, because you can't very well go around reciting all the scores of a given sample whenever you need to look at or use the sample. The mean is another term for simple average. You add up all the individual scores, and then divide the sum by the number of scores. If your scores are:1, 2, 3, 6, 8, 14, and 90 then you take their sum, 124, and divide it by 7, the number of scores. You get 17.71, the mean. The mean takes into account the value of every single score. This means that the value of every single score "pulls" the mean toward itself. If any value changes, the mean changes. The median is the score that divides the collection of scores in such a way that half the scores are smaller, and half the scores are larger. Using the same scores above, (they have to be in order) you see that 6, the middle score, divides the group of scores in this way. Three scores are lower, and three are higher. So 6 is the median score. When you have an even number of scores, go half-way between the two middle-most scores. You can see that you could change the actual values of the scores in any number of ways, and still have the same median. This may seem odd, but there may be times when you want your 'estimate' of the population value to be "higher than correct" no more often than it is "lower than correct".
What does it mean if the standard deviation is greater than the mean?
The standard deviation and the arithmetic mean measure two different characteristics of a set of data. The standard deviation measures how spread out the data is, whereas the arithmetic mean measures where the data is centered. Because of this, there is no particular relation that must be satisfied because the standard deviation is greater than the mean.Actually, there IS a relationship between the mean and standard deviation. A high (large) standard deviation indicates a wide range of scores = a great deal of variance. Generally speaking, the greater the range of scores, the less representative the mean becomes (if we are using "mean" to indicate "normal"). For example, consider the following example:10 students are given a test that is worth 100 points. Only 1 student gets a 100, 2 students receive a zero, and the remaining 7 students get a score of 50.(Arithmetic mean) = 100 + 0(2) + 7(50) = 100 + 0 + 350 = 450/10 studentsSCORE = 45In statistics, the median refers to the value at the 50% percentile. That means that half of the scores fall below the median & the other half are above the median. Using the example above, the scores are: 0, 0, 50, 50, (50, 50), 50, 50, 50, 100. The median is the score that has the same number of occurrences above it and below it. For an odd number of scores, there is exactly one in the middle, and that would be the median. Using this example, we have an even number of scores, so the "middle 2" scores are averaged for the median value. These "middle" scores are bracketed by parenthesis in the list, and in this case are both equal to 50 (which average to 50, so the median is 50). In this case, the standard deviation of these scores is 26.9, which indicates a fairly wide "spread" of the numbers. For a "normal" distribution, most of the scores should center around the same value (in this case 50, which is also known as the "mode" - or the score that occurs most frequently) & as you move towards the extremes (very high or very low values), there should be fewer scores.
Do extremely high or low scores affect the value of the median?
No, extremely high or low values will not affect the median. Because the median is the middle number of a series of numbers arranged from low to high, extreme values would only serve as the end markers of the values.
Is the mean influenced more than the median by a few extreme scores at one end of the distribution?
Yes. The mean uses the actual value of each observation. The value(s) of only the middle observation (or pair of middle observations) is required for the median. For all other observations, the median is concerned only with whether it is larger or smaller than it is.
What is the name of the middle value in an ordered set?
The middle value in an ordered set is the median. Example: In the set - 1, 3, 4, 11, 15, 17, 19 11 would be the median.
Mode always contain the median?
No. Mode and median are two different descriptive statistics. The mode is the value that occurs most often. The median is the middle value (the value below which 50 % of the cases lie and above which 50 % of the cases lie). Here is an example. Consider the set of data. 2,3,3,5,5,5,6,8,10 3 occurs most often (3 times), so 3 is the mode. 5 is the median. There are 4 cases below 5 and 4 cases above 5.
