Median = 89
Mean = 89
Answers by Wolfram|Alpha
Mode = 93
Range = 95-79 = 16
The median is the middle value when the numbers are arranged in numerical order. In this case, the middle two numbers are 88 and 92, so the median is (88 + 92) / 2 = 90. The mode is the number that appears most frequently, which is 88 in this dataset. The mean is the average of all the numbers, calculated by adding them up and dividing by the total count. In this case, the mean is (95 + 88 + 79 + 92 + 78 + 88 + 93 + 100 + 69 + 98) / 10 = 88.2.
64 64 64 65 65 65 65 67 67 68 68 70 70 72 73 76 79 80. NB Place the numbers in RANK order. In this case it is already done #1 MODE ; is the term that occurs most frequently. In this case it is '65' , as there are four lots of '65' #2 MEDIAN ; is the term that occurs at the ABSOLUTE middle of the ranked order. Since there are eighteen terms, there is no absolute middle term. So we take the two middle terms that have the same number of terms to their side, that is terms nine & ten. They are 67 & 68. We then add these two together and halve the result. Hence (67 + 68) / 2 = 67.5. This is the median term. #3 MEAN ; is the sum of all the terms, which is the divided by the number of terms. Hence (64+64+64+65+65+65+65+67+67+68+68+70+70+72+73+76+79+80)/18 = 69' NB Another way of calculating the mean is ((3x64)+(4x65)+(2x67)+(2x68)+(2x70)+72+73+76+79+80)/18 = 69 NNB The word 'average' is casually used in the non-mathematical world, but the correct term is MEAN.
35 would be the outlier in the values 98 85 34 79 85 92. All the other values are fall in a range of 20 points whereas 35 is 40+ points away from this range.
If it is a small list of scores, like 6 of them, write them in a list, for example: 96, 87, 80, 79, 75, 75 Find the 'middle' which will occur BETWEEN two numbers 96, 87, 80 (middle) 79, 75, 75. Average the two numbers on either side of the 'middle.' In this example (80 + 79) / 2 = 79.5 If the list is larger find the middle by dividing the total number of cases by 2. In this example 6 / 2 = 3. The median will be the middle BETWEEN the 3rd and 4th score. (Average the 3rd and 4th score)
There are an infinite list of different sets of 5 that do that.If their mean is 80, then the only thing you know about them is that they add up to 400.Here's one set:78, 79, 80, 81, 82Here's another one:79, 81, -600, 400, 440.The mean doesn't tell us anything about what the individual numbers must be.
Mean: 20.2222222 Median: 12 Mode: 11 Range: 79
Mean: 67.143 Median: 78 Mode: 56, 78, 85, 92, 65, 79, 15 Range: 77
19, 20, 24, 25, 37, 45, 48, 57, 78, 88, 98 Mean: 49 Median: 45 Range: 79 There is no mode.
(79, 81, 82, 91, 93, 95, 95) The mean is 88 The mode is 95 The median is 91
69, 78, 79, 88, 88, 88, 92, 93, 95, 98, 100 The mean is 88. The mode is 88. The range is 31.
The median is the middle value when the numbers are arranged in numerical order. In this case, the middle two numbers are 88 and 92, so the median is (88 + 92) / 2 = 90. The mode is the number that appears most frequently, which is 88 in this dataset. The mean is the average of all the numbers, calculated by adding them up and dividing by the total count. In this case, the mean is (95 + 88 + 79 + 92 + 78 + 88 + 93 + 100 + 69 + 98) / 10 = 88.2.
There is no direct relationship between the range and the median. So knowing that your median is 20 does not automatically give you the range. The median is just the middle value. That does not tell you what the first and last values are, which is what you need to know to find the range. The median of 19, 20 and 21 is 20, and the range is 2. The median of 4, 20 and 79 is also 20, but the range is 75. The median of 8, 16, 17, 23, 50 and 320 is also 20, but the range is 312. So, as you can see, the Median in no way can tell you what the range will be. You need to know what all of the numbers are, or at least the lowest and highest to know the range.
75 and 79
median is 79. Write in order; median is middle number: {72, 89, 67, 81, 75, 79, 81, 80, 62, 64, 83} → {62, 64, 67, 72, 75, 79, 80, 81, 81, 83, 89} To find middle number, count the number of data items, add 1 and divide by 2. If this is a whole number, that is the data item which is the median; if it is a fraction, take the mean average of the data items of the positions either side of the fraction (eg if the fraction is 3.5, take the mean average of the 3rd and 4th data items) There are 11 data items → median is (11+1)/2 = 6th data item → median is 79
78
meanAdd up the numbers and divide by how many there are: 87+75+89+81+90+73+85+96+65+92+78+79+83+85+79+90+86+72+74+88+81+85 = 1813There are 22 numbers.⇒ mean = 1813 ÷ 22= 829/22≈ 82.41medianSort the numbers into order; the median is the middle number (if an odd number of numbers) or the mean of the middle two (if an even number of numbers): Sorted: 65, 72, 73, 74, 75, 78, 79, 79, 81, 81, 83, 85, 85, 85, 86, 87, 88, 89, 90, 90, 92, 96There are 22, so the median is the mean of the middle two which are the 11th (83) and 12th (85) numbers:⇒ median = (83+85) ÷2= 84modeThe number which appears the most often. Having sorted the list for the median, it can be seen that the one with the highest frequency appears three times: ⇒ mode = 85
The mode is 68.