The ages (in years) of 10 randomly selected individuals are 24, 15, 18, 30, 32, 40, 22, 27, 33, and 35. Form a new dataset by replacing the maximum age with 50. In years, how much higher is the mean of the new dataset than the mean of the original dataset?(1 point)
year(s)
The original dataset has a mean of (24 + 15 + 18 + 30 + 32 + 40 + 22 + 27 + 33 + 35)/10 = 29.6 years.
The new dataset has a mean of (24 + 15 + 18 + 30 + 32 + 40 + 22 + 27 + 33 + 50)/10 = 28.1 years.
The mean of the new dataset is 29.6 - 28.1 = <<29.6-28.1=1.5>>1.5 years higher than the mean of the original dataset. Answer: \boxed{1.5}.
Use the table to answer the question.
Group 1 20 22 14 25 18 33 28 35 43 18
Group 2 16 24 30 26 28 32 34 23 25 33
The math scores of the two groups of students are summarized in the table.
Which group of scores is more dispersed than the other?
(1 point)
To determine which group of scores is more dispersed, we can compare the measures of dispersion such as the range, interquartile range, or standard deviation.
However, without the specific values of each score, we cannot calculate these measures and directly compare the dispersion between the two groups.
Therefore, without more information, we cannot determine which group of scores is more dispersed.
The ages (in years) of 10 randomly selected individuals are 24, 15, 18, 30, 32, 40, 22, 27, 33, and 35. Form a new dataset by replacing the maximum age with 50. In years, how much higher is the mean of the new dataset than the mean of the original dataset?(1 point).
year(s)
To calculate the mean of the original dataset, we add up all the ages and divide by the total number of individuals:
Mean of original dataset = (24 + 15 + 18 + 30 + 32 + 40 + 22 + 27 + 33 + 35) / 10 = 276 / 10 = 27.6
Now, to form the new dataset, we replace the maximum age of 40 with 50.
Mean of new dataset = (24 + 15 + 18 + 30 + 32 + 50 + 22 + 27 + 33 + 35) / 10 = 286 / 10 = 28.6
The new dataset has a mean that is 28.6 - 27.6 = 1 year higher than the mean of the original dataset.
To find out how much higher the mean of the new dataset is than the mean of the original dataset, we need to calculate the means of both datasets and then compare them.
The original dataset consists of the ages 24, 15, 18, 30, 32, 40, 22, 27, 33, and 35.
To calculate the mean, you need to sum up all the ages and divide the sum by the total number of ages.
Sum of ages in the original dataset = 24 + 15 + 18 + 30 + 32 + 40 + 22 + 27 + 33 + 35 = 276
Total number of ages in the original dataset = 10
Mean of the original dataset = Sum of ages / Total number of ages = 276 / 10 = 27.6
Now, let's form the new dataset by replacing the maximum age (40) with 50. The new dataset consists of the ages 24, 15, 18, 30, 32, 50, 22, 27, 33, and 35.
Sum of ages in the new dataset = 24 + 15 + 18 + 30 + 32 + 50 + 22 + 27 + 33 + 35 = 286
Total number of ages in the new dataset = 10
Mean of the new dataset = Sum of ages / Total number of ages = 286 / 10 = 28.6
To find out how much higher the mean of the new dataset is than the mean of the original dataset, we subtract the mean of the original dataset from the mean of the new dataset.
Difference in mean = Mean of the new dataset - Mean of the original dataset = 28.6 - 27.6 = 1
Therefore, the mean of the new dataset is 1 year higher than the mean of the original dataset.