Consider this data set:
{49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
Put responses in the correct input to answer the question. Select a response.
The mean is ( )
The median is ( )
The mode is ( )
The range is ( )
The mean is 47.5
The median is 49.5
The mode is 50
The range is 51
i have another question
Sure, what is your question?
Suppose the value 60 is added to the data set.
The mean increases by ( )
The median increases by ( )
The mode ( )
The range ( )
please answer
Sure, here are the answers:
The mean increases by 5, becoming 52.5 (sum of the original data set + 60 divided by 11)
The median remains the same at 49.5 since 60 is farther away from the center than any of the other data points.
The mode still remains as 50 since it is still the most frequent value.
The range increases by 60, becoming 87 (the difference between the largest value, 74, and the new smallest value, 23 + 60 = 83).
To find the mean, you need to add up all the numbers in the data set and then divide the sum by the total number of values.
Mean = (49 + 50 + 45 + 23 + 35 + 66 + 34 + 74 + 54 + 50) / 10
Mean = 480 / 10
Mean = 48
So, the mean is 48.
To find the median, you need to arrange the numbers in ascending order and then find the middle number. If there is an even number of values, you take the average of the two middle numbers.
Arranging the numbers in ascending order:
{23, 34, 35, 45, 49, 50, 50, 54, 66, 74}
Since there are 10 numbers, the middle two numbers are 49 and 50.
Therefore, the median is the average of 49 and 50, which is 49.5.
To find the mode, you need to identify the number(s) that appear(s) most frequently in the data set.
In this case, the number 50 appears twice, which is more than any other number. So, the mode is 50.
To find the range, you subtract the smallest value from the largest value.
Range = Largest value - Smallest value
Range = 74 - 23
Range = 51
Therefore, the range is 51.