What is the median of {34, 35, 42, 18, 20, 51, 19, 47, 37, 34}
Arranging the numbers in order: {18, 19, 20, 34, 34, 35, 37, 42, 47, 51}.
The median is the middle number, which is 35.
whats the mean
To find the mean, we need to add up all the numbers and divide by the total number of numbers:
Mean = (18+19+20+34+34+35+37+42+47+51) / 10
Mean = 337 / 10
Mean = 33.7
Therefore, the mean of the given numbers is 33.7.
whats the mode?
The mode of a set of numbers is the value that occurs most frequently. In this set of numbers {34, 35, 42, 18, 20, 51, 19, 47, 37, 34}, 34 occurs twice, so it is the mode of the set.
whats the range?
The range of a set of numbers is the difference between the largest and smallest values in the set.
The largest value in the set is 51 and the smallest value is 18.
Range = Largest value - Smallest value
Range = 51 - 18
Range = 33
Therefore, the range of the given set of numbers is 33.
Suppose the value 26 is added to the data set.
how much does the mean decrease by?
To find out how much the mean decreases by, we first need to calculate the new mean after the value 26 is added to the set of numbers.
New sum of the numbers = sum of the original numbers + 26
New sum = (34+35+42+18+20+51+19+47+37+34) + 26
New sum = 343
New mean = New sum / (number of original numbers + 1)
New mean = 343 / 11
New mean = 31.18
The original mean of the set of numbers was 33.7. The new mean after adding 26 is 31.18.
The decrease in mean = Original mean - New mean
Decrease in mean = 33.7 - 31.18
Decrease in mean = 2.52
Therefore, the mean decreases by 2.52 when the value 26 is added to the set of numbers.