All categories

3 years ago

Replacing only the minimum value in a data to a smaller number will change the median

Mathematics

2 answers:

Mamont248 [21]3 years ago

7 0

Solution:

we have been asked to find that whether the given statement is True or False.

Replacing only the minimum value in a data to a smaller number will change the median....FALSE

As we know the median is caluclated by arranging the given numbers in ascending/descending order. The we choose the middle one as a median if total number of numbers are odd. But if toal numbers of numbers are even then we take the average of the middle two and that average is the median.

So if we you are going add a number in the given set of numbers then surely the median is going to change, irrespective of the vaue of the number.

Hence the given statement is False.

irakobra [83]3 years ago

5 0

This is false my dude.

You might be interested in

Enter the coordinates of the point on the unit circle at the given angle 360

kotykmax [81]

Answer:

(1, 0)

Step-by-step explanation:

360º is a full circle and is the same as 0º, so this is on the x-axis.

the y coordinate is 0

Since it's a unit circle on the x-axis the x coordinate is 1

(1, 0)

3 0

3 years ago

Determine all real values of p such that the set of all linear combination of u = (3, p) and v = (1, 2) is all of R2. Justify yo

Rama09 [41]

Answer:

p ∈ IR - {6}

Step-by-step explanation:

The set of all linear combination of two vectors ''u'' and ''v'' that belong to R2

is all R2 ⇔

$u\neq 0_{R2}$

$v\neq 0_{R2}$

And also u and v must be linearly independent.

In order to achieve the final condition, we can make a matrix that belongs to $R^{2x2}$ using the vectors ''u'' and ''v'' to form its columns, and next calculate the determinant. Finally, we will need that this determinant must be different to zero.

Let's make the matrix :

$A=\left[\begin{array}{cc}3&1&p&2\end{array}\right]$

We used the first vector ''u'' as the first column of the matrix A

We used the second vector ''v'' as the second column of the matrix A

The determinant of the matrix ''A'' is

$Det(A)=6-p$

We need this determinant to be different to zero

$6-p\neq 0$

$p\neq 6$

The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that $p\neq 6$

We can write : p ∈ IR - {6}

Notice that is $p=6$ ⇒

$u=(3,6)$

$v=(1,2)$

If we write $3v=3(1,2)=(3,6)=u$ , the vectors ''u'' and ''v'' wouldn't be linearly independent and therefore the set of all linear combination of ''u'' and ''b'' wouldn't be R2.