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The median is the most appropriate center when the distribution is very skewed or if there are many outliers.

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What are the most appropriate measures of center and spread for this data set?

The most appropriate measures of center for a data set depend on its distribution. If the data is normally distributed, the mean is a suitable measure of center; however, if the data is skewed or contains outliers, the median is more appropriate. For measures of spread, the standard deviation is ideal for normally distributed data, while the interquartile range (IQR) is better for skewed data or when outliers are present, as it focuses on the middle 50% of the data.


What statement about the data is true 724 727 996 712 725 704 730 710 Both the median and mode are appropriate measures of center. The median is the only appropriate measure of center. The mean media?

In this dataset, the median and mode are both appropriate measures of center. The median is the middle value when the numbers are arranged in numerical order, while the mode is the value that appears most frequently. The mean, or average, can also be calculated for this dataset, but it is not mentioned in the given options.


Most useful central tendency for badly skewed distribution?

median


What distribution would be most appropriate Which distribution would be most appropriate if one wif one wanted to find the probability of selecting three Republicans from a sample of 15 politicians?

The binomial distribution.


What measure describes the center of data?

The measure that describes the center of data is known as the "central tendency." The three most common measures of central tendency are the mean, median, and mode. The mean is the average of all data points, the median is the middle value when data is ordered, and the mode is the most frequently occurring value. Each measure provides different insights into the data's distribution and can be used depending on the context.


What is the center line of a triangle?

It depends on what you mean by a centre. The most likely answer is a median.


What does measure of center mean?

Plotting data in a frequency distribution shows the general shape of the distribution and gives a general sense of how the numbers are bunched. Several statistics can be used to represent the "center" of the distribution. These statistics are commonly referred to as measures of central tendency.


What is a positively skewed distribution?

A positively skewed or right skewed distribution means that the mean of the data falls to the right of the median. Picturewise, most of the frequency would occur to the left of the graph.


Why do we have 3 measures of center in math?

We have three measures of center—mean, median, and mode—because they each provide different perspectives on data sets. The mean offers an average value, the median gives the middle point, and the mode identifies the most frequently occurring value. Together, they help capture the data's distribution, especially when it contains outliers or is skewed. This comprehensive view aids in better understanding and analysis of data.


How you get the mode by applying probability distribution?

The mode is the most probable value. Often, you determine the mode by plotting the experimental probability distribution, and finding the peak value. The mode is not necessarily the same as the mean nor the median, unless the distribution is symmetrical.


When is it appropriate to use mode?

The mode is appropriate to use when you need to identify the most frequently occurring value in a dataset, especially with categorical or discrete data. It is particularly useful when dealing with non-numeric data, such as determining the most common category or preference. Additionally, the mode can be helpful in understanding the distribution of data in situations where the mean or median may not adequately represent the typical value, such as in skewed distributions.


Why it is important to determine the shape of data distribution before computing descriptive statistics?

You may be most familiar with the normal distribution (the Bell-shaped curve). The mean, mode and median of this distribution are all the same because it is symmetric. If, however, you take a sample from a distribution that is asymmetric in some way then the mean, mode and median will differ. You would need to decide which of these more effectively characterises the population. Then you would compute that descriptive statistic.