Respuesta :
Answer:
Mean = 3640
Mode = 4100
Median = 3830.
Step-by-step explanation:
We are given the following data in the question:
Strength of casts (in psi):
3970,4100,3100,3200,2950,3830,4100,4050,3460
Formula:
[tex]Mean = \displaystyle\frac{\text{Sum of all observation}}{\text{Total number of observations}}[/tex]
[tex]\displaystyle\frac{3970+4100+3100+ 3200+ 2950+ 3830+4100+ 4050+ 3460}{9} = \displaystyle\frac{32760} {9} = 3640[/tex]
Mode is the entry with most frequency. Thus, for the given sample mode = 4100.
Median
Since n = 9 is odd,
Formula:
[tex]Median = \displaystyle\frac{n+1}{2}th~term[/tex]
Data in ascending order:
2950,3100,3200,3460,3830,3970,4050,4100,4100
Median = 5th term = 3830.
The mean strength of the concrete is 3640.
The mode strength of the concrete is 4100.
The median strength of the concrete is 3830.
Given
A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure.
The following data represent the strength of nine randomly selected casts (in psi).
3970, 4100, 3100, 3200, 2950, 3830, 4100, 4050, 3460
What formula is used to calculate the mean value?
The mean value of the data is given by;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Total \ number \ of \ observation}[/tex]
The mean of the strength of the concrete is;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ observation}{Total \ number \ of \ observation}\\\\Mean =\dfrac{3970+4100+3100+3200+2950+3830+ 4100+4050+3460 }{9}\\\\Mean =\dfrac{32760}{9}\\\\Mean=3640[/tex]
The mean strength of the concrete is 3640.
Mode is the entry with the most frequency.
Thus, for the given sample mode = 4100.
The mode strength of the concrete is 4100.
The mid-value of the data is called the median.
The median strength of the concrete is 3830.
To know more about Mean click the link given below.
https://brainly.com/question/12513463
