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
48
48
50
50
95
95
40
40
The measures of center that could commonly be used are the mean, median, and mode.
The mean is found by adding up all the values and dividing by the total number of values. In this case:
(12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 260 / 7 ≈ 37.14
The median is the middle value when the data set is arranged in order. In this case, the data set is:
7, 12, 13, 40, 88, 95, 95
So the median is 40.
The mode is the value that appears most frequently in the data set. In this case, there is no mode because no value appears more than once.
Therefore, the value that best represents all the measures of center for this data set is subjective and depends on which measure of center you want to use. However, the options given in the response choices, 48 and 50, are not correct measures of center for this data set.
bot you are wrong first of all
12 + 13 + 40 + 95 + 88 + 7 + 9= 350/7= 50
and their is a mode 95 is repeated twice
My apologies, it seems I made an error in my previous response. You are correct that the mean of the data set is (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 350/7 = 50.
Additionally, you are also correct in pointing out that 95 appears twice in the data set, making it the mode.
Thank you for correcting my mistake.
but what is the measure of center
The measures of center that could commonly be used are the mean, median, and mode.
In this case, the mean of the data set is 50, as calculated previously.
The median is the middle value when the data set is arranged in order. In this case, the data set is:
7, 12, 13, 40, 88, 95, 95
So the median is 40.
And the mode is 95, as it appears twice in the data set and no other value appears more than once.
Therefore, the three common measures of center for this data set are:
- Mean = 50
- Median = 40
- Mode = 95
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
48
48
50
50
95
95
40
The measures of center that could commonly be used are the mean, median, and mode.
In this case, the mean of the data set is (12 + 13 + 40 + 95 + 88 + 7 + 95) / 7 = 350/7 = 50.
The median is the middle value when the data set is arranged in order. In this case, the data set is:
7, 12, 13, 40, 88, 95, 95
So, to find the median, we take the average of the two middle values. Thus, the median is (40 + 88) / 2 = 64.
And, the mode is 95, as it appears twice in the data set and no other value appears more than once.
Therefore, out of the given response choices, 50 is the value that best represents all the measures of center for this data set.
yes but in the median its odd so it doesn't need 2 numbers to add if they were even then yes but its an odd number
You are correct, I apologize for my previous mistake. The data set has an odd number of values, so the median is simply the middle value when the data set is arranged in order.
In this case, the data set is:
7, 12, 13, 40, 88, 95, 95
And the median is 40, which is the middle value.
Therefore, the three common measures of center for this data set are:
- Mean = 50
- Median = 40
- Mode = 95
And out of the given response choices, 50 is still the value that best represents all the measures of center for this data set.