5
Mean: add the numbers and divide by how many numbers there are: mean = (13 + 11 + 7 + 4 + 5 + 4 + 8) ÷7 = 52 ÷ 7 = 7 3/7 ≈ 7.429 Median: sort the numbers into order and the median is the one in the middle: {13, 11, 7, 4, 5, 4, 8} → {4, 4, 5, 7, 8, 11, 13} → median = 7 Mode: the most frequent. Using the sorted list from the median calculation, it is easy to see that the number 4 appears twice, but the other numbers only appear once → mode = 4 mode is the only average that does not have to be a number; for example a survey of people's favourite drinks may have one which is more popular than the others, in which case that is the "mode drink".
23/4 ÷ 2 = 11/8 or 13/8
To find six numbers with a range of 2 and a median of 4, we can start by placing the median 4 in the middle. Since the range is 2, the numbers on either side of the median will be 2 and 6. This leaves us with the numbers 2, 4, 4, 4, 6, and 6. These six numbers have a range of 2 and a median of 4.
When there is an even number of data items the median is the mean average of the middle two. → median of {2, 3, 4, 5, 7, 9} = (4 + 5)/2 = 9/2 = 4.5
1, 2, 2, 3, 4, 4, 5, 7, 8 Mean: 4 Median: 4 Mode: 2 and 4
median of {5, 15, 9, 13} is 11 To find the median of a dataset sort the data into order and the median is the middle one; if there are an even number of items in the dataset, then the median is the mean average of the middle two. {5, 15, 9, 13} → {5, 9, 13, 15} There are 4 data items, → median is mean of {9, 13} = (9 + 13) / 2 = 11.
It is 9.
The answer is 8.5
It is 11.5
Mean: add the numbers and divide by how many numbers there are: mean = (13 + 11 + 7 + 4 + 5 + 4 + 8) ÷7 = 52 ÷ 7 = 7 3/7 ≈ 7.429 Median: sort the numbers into order and the median is the one in the middle: {13, 11, 7, 4, 5, 4, 8} → {4, 4, 5, 7, 8, 11, 13} → median = 7 Mode: the most frequent. Using the sorted list from the median calculation, it is easy to see that the number 4 appears twice, but the other numbers only appear once → mode = 4 mode is the only average that does not have to be a number; for example a survey of people's favourite drinks may have one which is more popular than the others, in which case that is the "mode drink".
Consider the data: 1, 2, 2, 3, 4, 4, 5, 7, 11, 13 , 19 (arranged in ascending order) Minimum: 1 Maximum: 19 Range = Maximum - Minimum = 19 - 1 = 18 Median = 4 (the middle value) 1st Quartile/Lower Quartile = 2 (the middle/median of the data below the median which is 4) 3rd Quartile/Upper Quartile = 11 (the middle/median of the data above the median which is 4) InterQuartile Range (IQR) = 3rd Quartile - 1st Quartile = 11 - 2 = 9
4
The median is 17.5
It is 9, the middle number when they are listed in order.
Mean = 11 Median = 11 Mode = 4 Range = 18
equivalent fractions for 11/13 = 22/26, 33/39, 44/52, 55/65,... To get the equivalent fractions of 11/13: Multiply 11/13 by 2/2, 3/3, 4/4, 5/5,... 11/13 * 2/2 = 22/26 11/13 * 3/3 = 33/39 11/13 * 4/4 = 44/52 11/13 * 5/5 = 55/65
The median is the middle value. 2 , 2 , 3 , 4 , 5 Median = 3