Find a sample size for which the median will always equal one of the values in the sample

Mathematics

1 answer:

irina [24]3 years ago

4 0

Answer:

Any odd sample size, larger than 1.

Step-by-step explanation:

We use the median to find the "middle" value of a sample, that is, the value separating the lower half from the upper half of the sample.

If the size of the sample is even

1,2,3,4

Both the upper half and the lower half should have the same size.

In this case, it is not possible to select only one value which respects this condition. So the mean between 2 and 3 = 2.5 is calculated. This value is not part of the sample.

If the size of the sample is odd

1,2,3,4,5

For a n-sized sample, with n odd, the median is the value at the position (n+1)/2. So her, it is 3, the value at the third position. In this case, it is always going to be an element at a position in the sample, that is, an element of the sample.

You might be interested in

Each question of a 5-question multiple choice exam has 4 possible answers. Suppose a student picks an answer at random for each

777dan777 [17]

1/20 no need to thank me I’m so smart

4 0

2 years ago

Solve using elimination. 8x + 10y = -18 3x + 5y = -18

Y_Kistochka [10]

Answer: The answer is (9, -9)

6 0

3 years ago

After decreasiag by 8% during the first year, the value of an investment then increased by $450 during the second year. which eq

Tasya [4]

Original investment is V

In the first year V decreased by 0.08V to give V - 0.08V

In the second year; V - 0.08V increased by $450 to give V - 0.08V + $450

The value (n) after two years = V - 0.08V + $450

The correct choice is 'D.'

6 0

3 years ago

Find the area of the shaded polygons:

azamat

To find the area of the shaded region you must subtract the area of the circle from the area of the square. , where is the side of the square and is the radius of the circle.

7 0

3 years ago

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the

Svetlanka [38]

Answer:

The hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.