Measures of central tendency are numbers that describe what is average or typical within a distribution of data. There are three main measures of central tendency: mean, median, and mode. While they are all measures of central tendency, each is calculated differently and measures something different from the others. Show
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The MeanThe mean is the most common measure of central tendency used by researchers and people in all kinds of professions. It is the measure of central tendency that is also referred to as the average. A researcher can use the mean to describe the data distribution of variables measured as intervals or ratios. These are variables that include numerically corresponding categories or ranges (like race, class, gender, or level of education), as well as variables measured numerically from a scale that begins with zero (like household income or the number of children within a family). A mean is very easy to calculate. One simply has to add all the data values or "scores" and then divide this sum by the total number of scores in the distribution of data. For example, if five families have 0, 2, 2, 3, and 5 children respectively, the mean number of children is (0 + 2 + 2 + 3 + 5)/5 = 12/5 = 2.4. This means that the five households have an average of 2.4 children. The median is the value at the middle of a distribution of data when those data are organized from the lowest to the highest value. This measure of central tendency can be calculated for variables that are measured with ordinal, interval or ratio scales. Calculating the median is also rather simple. Let’s suppose we have the following list of numbers: 5, 7, 10, 43, 2, 69, 31, 6, 22. First, we must arrange the numbers in order from lowest to highest. The result is this: 2, 5, 6, 7, 10, 22, 31, 43, 69. The median is 10 because it is the exact middle number. There are four numbers below 10 and four numbers above 10. If your data distribution has an even number of cases which means that there is no exact middle, you simply adjust the data range slightly in order to calculate the median. For example, if we add the number 87 to the end of our list of numbers above, we have 10 total numbers in our distribution, so there is no single middle number. In this case, one takes the average of the scores for the two middle numbers. In our new list, the two middle numbers are 10 and 22. So, we take the average of those two numbers: (10 + 22) /2 = 16. Our median is now 16. The ModeThe mode is the measure of central tendency that identifies the category or score that occurs the most frequently within the distribution of data. In other words, it is the most common score or the score that appears the highest number of times in a distribution. The mode can be calculated for any type of data, including those measured as nominal variables, or by name. For example, let’s say we are looking at pets owned by 100 families and the distribution looks like this: Animal Number of families that own it
The mode here is "dog" since more families own a dog than any other animal. Note that the mode is always expressed as the category or score, not the frequency of that score. For instance, in the above example, the mode is "dog," not 60, which is the number of times dog appears. Some distributions do not have a mode at all. This happens when each category has the same frequency. Other distributions might have more than one mode. For example, when a distribution has two scores or categories with the same highest frequency, it is often referred to as "bimodal." 1 The sum of scores of Vicky and Ely in Math Quiz is 27 and the product of their What are the scores of Vicky and Fly" A-2 and - 256 B. 2 and 25 C. -2 … and 25 D. 2 and 2. A rectangular table has an area of 150 m² and a perimeter of 50 m. How long is able? A. 9 m B. 11 m C. 13 m D. 15 m 3. The length of the garden is 7m longer than its width and the area is 30m" How arden? A. 7m B. 8m C. 9m D. 10m 4. The dimensions of a table are two consecutive integers whose product is 132. I hand width of the table. A. 10, 11 B. 12, 13 C. 11, 12D. -11, 12 5. A page of a certain encyclopedia has an area of 42cm² and a perimeter of 26cm e dimensions? A. 3cm and 14cm C. 6cm and 7cm D. 26cm and 42cm B. 2cm and 21cm 6. Mr. Cortez can paint a house in 2 days less than his son. When they work tog o the job in 44 days. How long would it take each working alone to do job? A. son 10 days Mr. Cortez - 8 days Mr. Cortez 6 days B son-8 days Mr. Cortez Mr Cortez C.son 8 days D. son 6 days 7. Ely is three times taller than James and the product of their height is equal n of their height increased by fifty-five. Find the height of Ely and James A. 3.9 B. 5,15 C. 6.18 D. 7,21 8. The base of a triangular park is 7 m more than its height. If the area is 294 e meters, find the base and the height of the triangle A base= 28m height = 21m B. base = 40m height = 33m C. base = 22 height = 15 D. base = 30m height = 23 9. If Mr. Miranda will increase his usual rate by 10 kilometers per hour, it wi me hour shorter to cover a distance of 200 kilometers. What is his usual speed D. 40kp € 30kph B. 20kph A 10kph 10. Michael can construct 100 identical boxes in two days less than John. If r, they can finish the work in 2 days. How long will it take each of them to thos A. Michael 5 days John - 7 days B. Michael 8 days John 3 days John C. Michael - 7days D. Michoul - 3 days What measure of central tendency that divides the data into a lower half and an upper half?The median is the middle value in distribution when the values are arranged in ascending or descending order. The median divides the distribution in half (there are 50% of observations on either side of the median value). What measure of central tendency that divides a set of scores in two equal number of scores?the median, symbolized Mdn, is the middle score. It cuts the distribution in half, so that there are the same number of scores above the median as there are below the median. Because it is the middle score, the median is the 50th percentile. Which measure of central tendency greatly affects the lowest and the highest data?The median gives the greatest weight to elements in the middle of the ordered data. When there are extreme numbers in the data set (very low or very high numbers), the median is a good choice for a measure of central tendency. The extreme numbers have less effect (or no effect at all) on the median. What are the 4 measures of central tendency?The four measures of central tendency are mean, median, mode and the midrange. Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set. Which statistics that divides a set of scores in two equal numbers of scores?The median is the point in the distribution that splits the scores in two equal groups, which is also known as the midpoint of a distribution, or the 50th percentile. To calculate the median, organize the raw scores in rank order.
What measure of central tendency divides the set of scores into upper and lower scores?Median. The median is the middle value in a distribution. It is the point at which half of the scores are above, and half of the scores are below. It is not affected by outliers, so the median is preferred as a measure of central tendency when a distribution has extreme scores.
What central tendency is used for test scores?The mean is the most frequently used measure of central tendency because it uses all values in the data set to give you an average. For data from skewed distributions, the median is better than the mean because it isn't influenced by extremely large values.
Which measure of central tendency divides a sample into two parts of equal size?The median is the middle value. It is the value that splits the dataset in half, making it a natural measure of central tendency. To find the median, order your data from smallest to largest, and then find the data point that has an equal number of values above it and below it.
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