To solve this problem, we will first find the mean, median, and mode of the given data.
Mean: To find the mean, we need to sum up all the given values and divide by the total number of values.
Sum of the data = 3930 + 4060 + 3230 + 3090 + 2910 + 3800 + 4060 + 4040 + 3820 = 33440
Number of data points = 9
Mean = Sum of the data / Number of data points = 33440 / 9 = 3715.56 psi (rounded to the nearest hundredth)
Median: To find the median, we need to arrange the data in ascending order and find the middle value.
Arranging the data in ascending order: 2910, 3090, 3230, 3800, 3820, 3930, 4040, 4060, 4060
The middle value is the 5th value, which is 3820 psi.
Mode: The mode is the value or values that appear most frequently in the data.
From the given data, the value 4060 appears twice, which is more than any other value. Therefore, the mode of the data is 4060 psi.
A certain type of concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The concrete is poured into casting cylinders and allowed to set for 28 days. The concrete's strength is then measured. The following data represent the strength of nine randomly selected casts (in psi). Compute the mean, median, and mode strength of the concrete (in psi).
3930
4060
3230
3090
2910
3800
4060
4040
3820
1 answer