Find the measures of center. What value best represents all the measures of center for the following data set?

Question

12, 13, 40, 95, 88, 7, 95(1 point)
Responses

48
48

40
40

95
95

50

Answer 1

To find the measures of center for the given data set (12, 13, 40, 95, 88, 7, 95), we can calculate the mean, median, and mode.

1. Mean:

   • Sum of all values: 12 + 13 + 40 + 95 + 88 + 7 + 95 = 350
   • Number of values: 7
   • Mean = Total Sum / Number of Values = 350 / 7 ≈ 50

2. Median:

   • First, we need to sort the data: 7, 12, 13, 40, 88, 95, 95
   • The median is the middle value. Since there are 7 values (an odd number), the median is the 4th value: 40.

3. Mode:

   • The mode is the value that appears most frequently. Here, 95 appears twice, while all other numbers appear once. Therefore, the mode is 95.

Now, we can summarize the measures of center:

• Mean: 50
• Median: 40
• Mode: 95

From the options provided:

• 48
• 40
• 95
• 50

The value that best represents all the measures of center is 50. Thus, the best answer is 50.