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When data includes a few extremely large or extremely small value it might be best to use a median value from the sample?
true
What is the mode and median?
Both median and mode are the statistics formulas, Median is called mid value of the given data and mode is the value which occure repetedly in the given data.
What is the 5 number summary for a box and whisker plot?
Min- the lowest value Q1- the median number between the actual median and the min Median- the "middle" number in the dataset Q3- the median number between the actual median and the max Max- the highest value
What is the median of 1 number only?
Your single number is your only information of the median value of the population, so the median value is the same as your single number. It is also the mode and mean of your sample.
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.
What is the median of Wednesday's test scores?
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.
A single, extremely large value can affect the median more than the mean?
A single, extremely large value can affect the median more than the mean because One-half of all the data values will fall above the mode, and one-half will fall below the mode. In a data set, the mode will always be unique. The range and midrange are both measures of variation.
When data includes a few extremely large or extremely small value it might be best to use a median value from the sample?
true
How does the outlier affect the median?
An outlier can significantly impact the median by pulling it towards the extreme value of the outlier, especially when the dataset is small. This can distort the central tendency measure that the median represents and provide a misleading representation of the typical value in the dataset.
Which of measure of location is affect most by extreme value?
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 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.
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".
Give an example of a set of 6 test scores where the mean and the median have same value but the mode is different?
2, 2, 5, 7, 9, 11. Mean = Median = 6 Mode = 2
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.
How will adding the value 100 affect the mean and median of the data set 1 5 7 7 9 10?
It will increase the mean without affecting the median.
When an observation in a data is abnormally more than and less than the remaining observations in the data does it affect Mean Median Mode?
Yes, an observation that is abnormally larger or smaller than the rest of the data can significantly affect the mean, as it will pull the average towards that extreme value. However, the median and mode are less influenced by outliers, as they are not as sensitive to extreme values. The median is the middle value when the data is arranged in order, so outliers have less impact on its value. The mode is the most frequently occurring value, so unless the outlier is the most common value, it will not affect the mode.
