The measures of center for the data set are:
1. Mean: (12+13+40+95+88+7+95)/7 = 50
2. Median: The middle value when the data set is arranged in numerical order is 40.
3. Mode: The value that appears most frequently in the data set is 95.
Of the three measures of center, the value that best represents all of them is the median, 40. This is because the mean can be skewed by outliers (such as the values 88 and 95 in this data set), and the mode may not be a good representation of the central tendency if there are no repeated values. The median provides a balanced representation of the center of the data set.
Find the measures of center. What value best represents all the measures of center for the following data set? 12, 13, 40, 95, 88, 7, 95
7 answers
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Find the mean, median, and mode of the data set: 45, 52, 17, 63, 57, 42, 54, 58.(1 point)
Responses
The mean is 48.5, the median is 60, and there is no mode.
The mean is 48.5, the median is 60, and there is no mode.
The mean is 49, the median is 53, and there is no mode.
The mean is 49, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and the modes are 52 and 54.
Responses
The mean is 48.5, the median is 60, and there is no mode.
The mean is 48.5, the median is 60, and there is no mode.
The mean is 49, the median is 53, and there is no mode.
The mean is 49, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and there is no mode.
The mean is 48.5, the median is 53, and the modes are 52 and 54.
To find the mean, median, and mode of the data set: 45, 52, 17, 63, 57, 42, 54, 58, we first arrange the data in numerical order: 17, 42, 45, 52, 54, 57, 58, 63.
Mean: (17+42+45+52+54+57+58+63) / 8 = 48.5.
Median: Since there are 8 numbers, the median is the average of the two middle numbers, which are the fourth and fifth numbers when arranged in order. The fourth number is 52 and the fifth number is 54. So, the median = (52+54) / 2 = 53.
Mode: There is no number that appears more than once in the data set, so there is no mode.
Therefore, the correct answer is:
The mean is 48.5, the median is 53, and there is no mode.
Mean: (17+42+45+52+54+57+58+63) / 8 = 48.5.
Median: Since there are 8 numbers, the median is the average of the two middle numbers, which are the fourth and fifth numbers when arranged in order. The fourth number is 52 and the fifth number is 54. So, the median = (52+54) / 2 = 53.
Mode: There is no number that appears more than once in the data set, so there is no mode.
Therefore, the correct answer is:
The mean is 48.5, the median is 53, and there is no mode.
Does the mean or median better describe the shape of this data set?
46, 54, 43, 57, 50, 62, 78, 42(1 point)
Responses
The mean value of 54 is the best measure of center that describes the shape of the data set.
The mean value of 54 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.
The median value of 52 is the best measure of center that describes the shape of the data set.
46, 54, 43, 57, 50, 62, 78, 42(1 point)
Responses
The mean value of 54 is the best measure of center that describes the shape of the data set.
The mean value of 54 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The mean value of 52 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.
The median value of 54 is the best measure of center that describes the shape of the data set.
The median value of 52 is the best measure of center that describes the shape of the data set.
To determine whether the mean or the median better describes the shape of the data set 46, 54, 43, 57, 50, 62, 78, 42, we first find the mean and the median.
Mean = (46+54+43+57+50+62+78+42) / 8 = 52.
When the data set is ordered from smallest to largest: 42, 43, 46, 50, 54, 57, 62, 78, the median is the middle value, which in this case is 54.
Comparing the mean and median:
The mean is 52.
The median is 54.
In this case, the median value of 54 is likely a better measure of center that describes the shape of the data set because the mean can be influenced by outliers. Since the data set does not have any extreme values, the median is a more accurate representation of the center of the data.
Therefore, the correct answer is:
The median value of 54 is the best measure of center that describes the shape of the data set.
Mean = (46+54+43+57+50+62+78+42) / 8 = 52.
When the data set is ordered from smallest to largest: 42, 43, 46, 50, 54, 57, 62, 78, the median is the middle value, which in this case is 54.
Comparing the mean and median:
The mean is 52.
The median is 54.
In this case, the median value of 54 is likely a better measure of center that describes the shape of the data set because the mean can be influenced by outliers. Since the data set does not have any extreme values, the median is a more accurate representation of the center of the data.
Therefore, the correct answer is:
The median value of 54 is the best measure of center that describes the shape of the data set.
1 answer