The first quartile is the value such that a quarter of the data are smaller than that value and three quarters are larger. Since there are 8 observations, the quartile will be between the second and the third smallest values. Therefore, Q1 = (7+15)/2 = 11
If this is the only information you have, the answer would be somewhere around 125. Usually, you would find the third quartile by first finding the median. Then find the median of all of the numbers between the median and the largest number, which is the third quartile.
9
6.
The mode is 15 because it occurs most often.
Remember what each of these terms represent. Mean = Mathematical Average Median = Middle value (exactly half of values are above and below) Mode = Most frequent value There are multiple possible answers, however here is one: 13, 13, 15, 15, 19 The mean is: (13 + 13 + 15 + 15 + 19)/5 = 75/5 = 15 The middle value (the median) is 15. Another way to say this is that, if we were to list all the values as shown above there are two before 15 and two after 15; therefore the median is 15. In this data set the value 13 occurs twice, 15 occurs twice, and 19 occurs once. Both 13 and 15 occur the most frequently therefore they are both the mode.
15
12
To find the 1st quartile (Q1) of the sample group, first, arrange the numbers in ascending order: 15, 20, 25, 25, 27, 28, 30, 34. Since there are 8 values, Q1 is the median of the first half of the data. The first half is 15, 20, 25, 25, and the median of this subset is (20 + 25) / 2 = 22.5. Thus, the 1st quartile is 22.5.
First arrange the data set in ascending order. Suppose the data set consists of n observations. the index for the lower quartile is (n + 1)/4 and the index for the upper quartile is 3*(n + 1)/4. Find the values that correspond to the number in these positions in the ordered list. For example, if n = 15, then lower index = 4 and upper index = 12. So the lower quartile is the fourth number and the upper quartile is the twelfth. If n is large, you may skip the +1 and just look at n/4 and 3n/4. Often the indices are not integers. Then, if you are a beginner (nd the fact that you asked this question suggests that you are), find the nearest whole numbers for the two indices. Otherwise you need to interpolate and that is a whole new ball game!
The five number summary consists of the Minimum, the Lower Quartile, the Median, the Upper Quartile, and the Maximum.For Example, if you have a number set like this:2, 3, 5, 7, 9, 12, 15, 15, 18, 19, 21,Minimum: 2Q1: 5Median: 12Q3: 18Maximum: 21
Since the set of data is arranged in numerical order, first we need to find the median (also called the second quartile), which separates the data into two equal groups, in our case there are 6 numbers in each group.54 65 66 68 73 75 | 75 78 82 82 87 97The first quartile (also called the lower quartile) is the middle value of numbers that are below the median, in our case is 67.54 65 66 | 68 73 75 | 75 78 82 82 87 97The third quartile (also called the upper quartile) is the middle value of numbers that are above the median, in our case is 82.54 65 66 | 68 73 75 | 75 78 82 | 82 87 97The interquartile range is the difference between the first and third quartiles, which is 15, (82 - 67).
If this is the only information you have, the answer would be somewhere around 125. Usually, you would find the third quartile by first finding the median. Then find the median of all of the numbers between the median and the largest number, which is the third quartile.
28 is the 3rd quartile.
To calculate the mean of the data set 14, 15, 17, 18, 20, 24, and 28, first sum the values: 14 + 15 + 17 + 18 + 20 + 24 + 28 = 116. Then, divide the total by the number of values (7): 116 ÷ 7 = 16.57. Thus, the mean of the data set is approximately 16.57.
The one where the highest and lowest members differ by 15.
16,11,18,11,15,17,11
To find the median of the data set 11, 13, 14, 15, 18, 20, 23, 26, first, arrange the numbers in order (which they already are). Since there are eight values (an even number), the median is the average of the two middle numbers, which are 15 and 18. Thus, the median is (15 + 18) / 2 = 16.5.