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(1 point)
Responses
50
50
95
95
48
48
40
40
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The measures of center for the given data set are mean, median, and mode.
Mean: (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 48.857
Median: Arranging the data set in numerical order: 7, 12, 13, 40, 88, 95, 95
The median is the middle value, which is 40.
Mode: The number 95 appears twice in the data set, so the mode is 95.
Out of the options given, the value that best represents all the measures of center for this data set is 48, as it is closest to the calculated mean.
Find the mean, median, and mode of the data set: 45, 52, 17, 63, 57, 42, 54, 58.(1 point)
Responses
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.
The mean is 48.5, the median is 53, and the modes are 52 and 54.
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.
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To find the mean, median, and mode of the given data set (45, 52, 17, 63, 57, 42, 54, 58):
Mean: (45 + 52 + 17 + 63 + 57 + 42 + 54 + 58) / 8 = 428 / 8 = 53.5
Median: Arranging the data set in numerical order: 17, 42, 45, 52, 54, 57, 58, 63
The median is the middle value, which is 54.
Mode: The numbers 52 and 54 both appear once in the data set, so there is no distinct mode.
Therefore, the mean is 53.5, the median is 54, and there is no mode. None of the provided responses match this, so it appears to not be an option given.
pick the closest one
Based on the given response options and the calculated values:
The closest option 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 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 52 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.
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 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.
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In this data set (46, 54, 43, 57, 50, 62, 78, 42), the mean value is calculated as:
(46+54+43+57+50+62+78+42) / 8 = 432 / 8 = 54
The median value in this data set is 50.
Comparing the mean value and the median value, the median of 50 better describes the shape of this data set. This is because the mean is affected by extreme values, such as the number 78 in this data set, which can skew the center of the data. In this case, the median is not influenced by extreme values and provides a more representative measure of central tendency for this data set.
Therefore, the statement "The median value of 52 is the best measure of center that describes the shape of the data set" is the correct one.
Use the table to answer the question.
Game Goals Scored
1 6
2 1
3 1
4 0
5 3
6 1
7 0
8 3
9 8What value, the mean or median, best describes the shape of the data set that contains the number of goals scored by the soccer team?(1 point)
Responses
The median value of 2.6 is the best measure of center that describes the shape of the data set.
The median value of 2.6 is the best measure of center that describes the shape of the data set.
The median value of 1 is the best measure of center that describes the shape of the data set.
The median value of 1 is the best measure of center that describes the shape of the data set.
The mean value of 1 is the best measure of center that describes the shape of the data set.
The mean value of 1 is the best measure of center that describes the shape of the data set.
The mean value of 2.6 is the best measure of center that describes the shape of the data set.
The mean value of 2.6 is the best measure of center that describes the shape of the data set.
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To determine whether the mean or median best describes the shape of the data set for the number of goals scored by the soccer team, let's first calculate the mean and the median:
Given data set of goals scored: 6, 1, 1, 0, 3, 1, 0, 3, 8
Mean: (6 + 1 + 1 + 0 + 3 + 1 + 0 + 3 + 8) / 9 = 23 / 9 ≈ 2.56
Median: Arranging the data in numerical order: 0, 0, 1, 1, 1, 3, 3, 6, 8
The median is the middle value, which is 1.
Comparing the mean and median values, it seems that the median value of 1 is the best measure of center for this data set. The mean can be influenced by extreme values like the 6 or 8, which can skew the center.
Therefore, the statement "The median value of 1 is the best measure of center that describes the shape of the data set" is correct.
Find the mean, median, and modes of the data set: 91, 93, 89, 97, 89, 98, 94, 93.(2 points)
The mean is
.
The median is
.
The first mode in the data set is
.
The second mode in the data set is
.
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