What value best represents all the measures of center for the following data set?
48, 12, 11, 45, 48, 48, 43, 32
(1 point)
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Use the table to answer the question.
Game Runs Scored
1 0
2 7
3 2
4 9
5 1
6 1
7 10
What value, the mean or the median, best describes the shape of the data set that contains the number of runs scored by the baseball team? Choose 1 for mean and 2 for median.
(1 point)
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Does the mean or median better describe the shape of this data set? Enter 1 for mean or 2 for median.
3, 34, 36, 34, 6, 29, 30, 27, 39
(1 point)
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To determine whether the mean or median better describes the shape of the data set, let's first calculate the mean and median for the provided data:
Mean = (3 + 34 + 36 + 34 + 6 + 29 + 30 + 27 + 39) / 9 = 238 / 9 ≈ 26.44
To find the median, we first need to order the data set: 3, 6, 27, 29, 30, 34, 34, 36, 39. Since there are an odd number of values, the median is the middle value, which is 30.
Comparing the mean (26.44) and median (30), we see that the mean is slightly lower than the median. This suggests that the data set might have a slight left-skew. In this case, the median better describes the shape of the data set.
Therefore, enter 2 for median.
The measures of center for this data set are the mean, median, and mode.
Mean = sum of all numbers / total number of numbers = (48 + 12 + 11 + 45 + 48 + 48 + 43 + 32) / 8 = 287 / 8 = 35.875
Median = the middle number when the numbers are in order = 32, 43, 45, 48, 48, 48
Mode = the number that appears most frequently = 48
Therefore, the value that best represents all the measures of center for this data set is 48.
To determine whether the mean or median best describes the shape of the data set, we need to calculate the mean and median of the runs scored:
Mean = (0 + 7 + 2 + 9 + 1 + 1 + 10) / 7 = 5
Median = the middle value when the data is ordered: 0, 1, 1, 2, 7, 9, 10; the median is 2
Comparing the mean and median, we see that the mean is 5 and the median is 2. Since the median is closer to most of the data points (including two of the values), it better describes the shape of the data set. Therefore, the median is the value that best describes the shape of the data set. Choose 2 for the median.