Question

The average salary of the employees in a certain organization is equal to 9300 with a standard deviation of 1400. It was decided to reduce 10% of each employee's salary and it was also decided to reduce another 100. What are the new average and standard deviation?

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Corbin

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Let's first calculate the new average salary after reducing 10% of each employee's salary.

To reduce 10% of each employee's salary, we can multiply the average salary by 0.9 (1 - 0.1).

New average salary = 9300 * 0.9 = 8370

Now let's calculate the new standard deviation.

Since the reduction of 10% is a proportional reduction, the standard deviation will also be reduced by 10%.

New standard deviation = 1400 * 0.9 = 1260

Next, it was decided to reduce another 100 from each employee's salary.

Therefore, the new average salary after reducing another 100 would be:

New average salary = 8370 - 100 = 8270

The standard deviation remains the same as before since reducing a fixed amount does not affect the spread of data.

Answer:

The new average salary is 8270.

The new standard deviation is still 1260.

To reduce 10% of each employee's salary, we can multiply the average salary by 0.9 (1 - 0.1).

New average salary = 9300 * 0.9 = 8370

Now let's calculate the new standard deviation.

Since the reduction of 10% is a proportional reduction, the standard deviation will also be reduced by 10%.

New standard deviation = 1400 * 0.9 = 1260

Next, it was decided to reduce another 100 from each employee's salary.

Therefore, the new average salary after reducing another 100 would be:

New average salary = 8370 - 100 = 8270

The standard deviation remains the same as before since reducing a fixed amount does not affect the spread of data.

Answer:

The new average salary is 8270.

The new standard deviation is still 1260.

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