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A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pre

ID: 3056770 • Letter: A

Question

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).

3960

,

4090

,

3300

,

3000

,

2950

,

3820

,

4090

,

4040

,

3780

Compute the mean, median and mode strength of the concrete (in psi).

Compute the mean strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The mean strength of the concrete is

nothing

psi of pressure.

(Round to the nearest tenth as needed.)

B.

The mean does not exist.

Compute the median strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The median strength of the concrete is

nothing

psi of pressure.

(Round to the nearest tenth as needed.)

B.

The median does not exist.

Compute the mode strength of the concrete. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The mode of the strengths of the concrete is

nothing

psi of pressure.

(Round to the nearest tenth as needed.)

B.

The mode does not exist.

Explanation / Answer

Data in ascending order = 2950, 3000, 3300, 3780, 3820, 3960, 4040, 4090, 4090

a) Mean = (2950 + 3000 + 3300 + 3780 + 3820 + 3960 + 4040 + 4090 + 4090) / 9 = 3670

Option-A) The mean strength of the concrete is 3670 psi of pressure.

b) Median = middle mos value = 3820

Option-A) The median strength of the concrete is 3820 psi of pressure

c) mode = data with highest frequency = 4090

Option-A) The mode of the strengths of the concrete is 4090 psi of pressure.

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