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The distribution is skewed to the right.

Q: When the mean of a distribution of scores of measures is higher than the median the distribution would be?

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2, 2, 5, 7, 9, 11. Mean = Median = 6 Mode = 2

That means that, in a set of numbers, there are just as many numbers greater than the calculated median, as there are numbers less than the median. To calculate the median, sort the numbers, then pick the number in the middle. If there are two middle numbers, take their average.

16 points higher.

1

1 score = 20 years2 millenia = 2,000 years = 100 score

Related questions

skewed.

false

To find the median of Wednesday's test scores, first arrange the scores in numerical order from least to greatest, then select the middle value as the median. If there is an even number of scores, the median is the average of the two middle values.

Of the mean, median and mode the mean would be most affected.

The median is the number in the middle. Arrange all the scores from smallest to biggest and the middle on is the median if there is an odd number of scores. If there is an even number of scores, find the mean of the two middle numbers and that is the median.

The mean of a distribution of scores is the average.

the number that is in the middle of that particular set of numbers.

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.

the sum of the scores divided by the number of scores submitted

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".

Yes. That is how the median is defined.

If scores of zero are permitted, the lowest median is 2 as in (0,1,2,3,44) and the highest median is 10 as in (8,9,10,11,12). If a zero score is not permitted, then the lowest median is 3 as in (1,2,3,4,40).