An extreme value will not affect the value of the median any more than other values. Not enough information is given. STAT 351 Chapter 4A. The mean is a measure of variability. T. The mean is a measure of variability. Then one of its data is changed.
a) mean b) mode c) standard deviation d) range Question 4 Which of the following is an example of a data set with 5 values for which the standard deviation is zero. Which of the following is not affected by an extreme value in the data set? Median C.) Mode D.) All of the above? A data sample has a mean of 107, a median … Symmetric. Write. We then find the changed mean and changed median … Which of the following is most affected by extreme values? They also stayed around where most of the data is. If the mean of a set of numbers is larger than the median, then the distribution is: left-skewed. The purpose of analyzing a set of numerical data is to define accurate measures of central tendency, also called measures of central location.
The affected mean or range incorrectly displays a bias toward the outlier value. The modes are 5 … Spell. 1) Which of the following measures of central location is affected most by extreme values? In a histogram, the proportion of the total area which must be to the left of the median is more than 0.50 if the distribution is positively skewed. It’s also important that we realize that adding or removing an extreme value from the data set will affect the mean more than the median. The mean is affected by extreme values but the median is not. This is not the case with the median or mode. A number that is not affected much by extreme values, such as the median, is_____ the mode The ______is calculated by summing all data values and dividing by how many there are. d. It is equal to the mode in bell-shaped "normal" distributions. Advantages: • Extreme values (outliers) do not affect the median as strongly as they do the mean. The median is the middle of average of the middle two values from the ordered set of observations. 4. Hence for example, if in the above data if one replaces $10000 with $100000 the also median will come to $6000 whereas mean would have increased from $6000 to $24000 due to one extreme value.
However, in this situation, the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation, and any change in any of the scores will affect the value of the mean. 2. An extreme value will not affect the value of the median any more than other values. Mode is influenced by one thing only, occurrence. No values, extreme or otherwise, can affect the value of the median. An extreme value can affect the value of the median only if it is really large. (2) Median lies at the middle part of the series and hence it is not affected by the extreme values. Answer Save. The purpose of analyzing a set of numerical data is to define accurate measures of central tendency, also called measures of central location.
Key Concepts: Terms in this set (35) The mean is affected by extreme values but the median is not. b. MEDIAN Use the median to describe the middle of a set of data that does have an outlier. If the data set is symetric, the mean equals the median. Which of the following is not affected by an extreme value in the data set? So it seems that outliers have the biggest effect on the mean, and not so much on the median or mode.
Median is positional in rank order so only indirectly influenced by value Mean: Suppose you hade the values 2,2,3,4,23 The 23 ( an outlier) being so different to the others it will drag the mean much higher than it would otherwise have been. A.mean B.median C.mode D.all Of The Above A.mean B.median C.mode D.all Of The Above This problem has been solved! Depending on the value, the median might change, or it might not. The median is affected by extreme values, while the mean is not . 3. answer: c source: objective: 3 Which of the following summary measures is sensitive to extreme values? The mode and median didn't change very much. 1 Answer. Learn. Extreme values have no impact on the mode, since it's the number or numbers which show up most often. whereas median is just the middle number (not affected by extremes) mode is just the most common number. The median may be more useful than the mean when there are extreme values in the data set as it is not affected by the extreme values. Which of the following is an example of a data set with 5 values for which the standard deviation is zero. Effect on the mean vs. median.