To create a line plot for the data set (33, 38, 27, 34, 39, 40, 39, 40, 34, 39, 33, 38, 34), list the unique values on a number line and mark the frequency of each value.
Next, calculate the mean (average) by summing the numbers (total = 487) and dividing by the count (13), resulting in a mean of approximately 37.5. The median (middle value) is 39, as it is the 7th value in the ordered list. The mode (most frequent) is 39, and the range (difference between the highest and lowest values) is 40 - 27 = 13.
The mean, the median, the mode and the upper and lower limits of the range would each be reduced by the amount subtracted.
You treat each observation in a particular range as if it were the middle value of that range.
the new median is the same as that of old one. i.e 20 * * * * * If every observation is increased by 2, the new median is 2 more than the old median.
Assuming that you want to discount luck (if not, the answer would be 1), and that the guesser always guesses the median of the remaining range, the answer would be the (ceiling of the log(base 2) of the count of numbers in the range). If the log(base 2) is an exact integer, add 1. Example 1, pick a number between 1 and 9. There are 9 numbers in the range, so the log(base2) of 9 is ~3.16. The ceiling of that is 4. Do not add 1 for a final answer of 4. The full range is 1,2,3,4,5,6,7,8,9. The median is 5 First guess is 5. Higher - 6,7,8,9 is remaining range. 7 and 8 are the median numbers Second Guess is 8. Lower - 6,7 is the remaining range. 6 and 7 are the median numbers. Third guess is 7. Lower - 6 is the remaining range. 6 is the median number Fourth guess is 6. Correct. Example 2, pick a number between 1 and 16. There are 16 numbers in the range, so the log(base 2) of 16 is 4. The ceiling of 4 is 4. Add the 1 because the Log(base 2) is an integer, for a final answer of 5. Full range is 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16. The median numbers are 8 and 9. First Guess is 9. Lower - 1,2,3,4,5,6,7,8 is the remaining range. 4 and 5 are the median numbers Second Guess is 4. Higher - 5,6,7,8 is the remaining range. 6 and 7 are the median numbers. Third Guess is 6. Higher - 7,8 is the remaining range. 7 and 8 are the median numbers. Fourth Guess is 7. Higher - 8 is the remaining range. 8 is the median. Fifth guess is 8. Correct Both of these examples show worst case scenarios. A "lucky guess" will reduce the number of guess needed, possibly all the way to 1. Note: I do realize that to a math purist, in the examples where I said that the median numbers were x and y, the correct answer is that the median number is between x and y. Since I can not guess the number between the two numbers, I am bending the definition of median to treat the two bordering numbers as the median when the strict definition would list the median as being between those two numbers.
Mean is another word for average. you can find the mean by adding all the numbers and dividing them by how many numbers there are. median is the number in the middle of a line of numbers. you line up all the numbers in ascending (going higher) order and cross off one number on the end each time. mode is the number most often repeated in the numbers. range is the difference between the highest and lowest number. to find the range you subtract the lowest number from the highest number.
The mean, the median, the mode and the upper and lower limits of the range would each be reduced by the amount subtracted.
Place the numbers in order from least to greatest and cross each one off from each side. The number that is left is the median. If two numbers are left find the middle of those numbers 1,2,3,4,5 3 is the median 1,2,3,4,5,6 3.5 is the median
You cross off the 3 numbers on each side and the number in the middle is the median.
You treat each observation in a particular range as if it were the middle value of that range.
the new median is the same as that of old one. i.e 20 * * * * * If every observation is increased by 2, the new median is 2 more than the old median.
Assuming that you want to discount luck (if not, the answer would be 1), and that the guesser always guesses the median of the remaining range, the answer would be the (ceiling of the log(base 2) of the count of numbers in the range). If the log(base 2) is an exact integer, add 1. Example 1, pick a number between 1 and 9. There are 9 numbers in the range, so the log(base2) of 9 is ~3.16. The ceiling of that is 4. Do not add 1 for a final answer of 4. The full range is 1,2,3,4,5,6,7,8,9. The median is 5 First guess is 5. Higher - 6,7,8,9 is remaining range. 7 and 8 are the median numbers Second Guess is 8. Lower - 6,7 is the remaining range. 6 and 7 are the median numbers. Third guess is 7. Lower - 6 is the remaining range. 6 is the median number Fourth guess is 6. Correct. Example 2, pick a number between 1 and 16. There are 16 numbers in the range, so the log(base 2) of 16 is 4. The ceiling of 4 is 4. Add the 1 because the Log(base 2) is an integer, for a final answer of 5. Full range is 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16. The median numbers are 8 and 9. First Guess is 9. Lower - 1,2,3,4,5,6,7,8 is the remaining range. 4 and 5 are the median numbers Second Guess is 4. Higher - 5,6,7,8 is the remaining range. 6 and 7 are the median numbers. Third Guess is 6. Higher - 7,8 is the remaining range. 7 and 8 are the median numbers. Fourth Guess is 7. Higher - 8 is the remaining range. 8 is the median. Fifth guess is 8. Correct Both of these examples show worst case scenarios. A "lucky guess" will reduce the number of guess needed, possibly all the way to 1. Note: I do realize that to a math purist, in the examples where I said that the median numbers were x and y, the correct answer is that the median number is between x and y. Since I can not guess the number between the two numbers, I am bending the definition of median to treat the two bordering numbers as the median when the strict definition would list the median as being between those two numbers.
Mean is another word for average. you can find the mean by adding all the numbers and dividing them by how many numbers there are. median is the number in the middle of a line of numbers. you line up all the numbers in ascending (going higher) order and cross off one number on the end each time. mode is the number most often repeated in the numbers. range is the difference between the highest and lowest number. to find the range you subtract the lowest number from the highest number.
It is the central number in the ordered set. To find the median of a list of numbers, you have to put the numbers from least to greatest and then count in an equal number from each side. For n data values, the median will be the ordinal number (n+1)/2 For even numbers of values, it is the average of the 2 middle numbers. Example : 1 2 4 4 5 6 7 7 7 the median is 5 1 2 4 4 4 5 6 7 7 7 the median is 4.5 (4 + 5) / 2
It is an oblong box with a vertical line partway along its length and a horizontal "whisker" sticking out in each direction. The graph is drawn with a horizontal numerical axis. The figure below gives a rough idea. The dots in the top left are not part of the box-and whiskers graph: they are there just for spacing. ............ ______ ---------|___|_|------ a.........b.....c..d......e a = minimum value (excluding outliers) b = lower quartile c = median d = upper quartile e = maximum value (excluding outliers). If there are any outliers, they are shown as x beyond the ends of the whiskers.
The range is the numbers covered by a set of numbers, for example: 1,2,5,6,7,8,9 the range is 9, 1-9 Mean is the average. so add all the numbers up and divide by the number of numbers 1,2,5,6,7,8,9 the mean is 1+2+5+6+7+8+9 = 38/7= 5.42 median is the middle number, the easiest way to do this is order the numbers least to greatest and then check off least then greatest, 2nd least then 2nd greatest, so on 1,2,5,6,7,8,9 median is 6, 3 numbers on each side mode is the most used number, 1,2,5,6,6,7,8,9 the mode is 6 because it was used twice
The mean is 1226.75. The median is 508. There is no mode, as each number is different.
The measure of center is a single value that represents the middle or central tendency of a dataset. Common measures of center include the mean, median, and mode, which each describe different aspects of the data's distribution. The choice of measure depends on the characteristics of the data and the specific question being addressed.