Question

for what value of a 4,6,a,9,10,19 will be 7.5 be the media​

Answer 1

Answer:

as we have to find median and a is not given. median=a+9÷2=7.5( bcoz we don't know the correct median)

Answer 2

Step-by-step explanation:

Median is the middlemost observation in a given set of data.

Given: Observations and median.

To find: The value of a.

Answer:

Observations: 4 , 6 , a , 9 , 10 and 19.

Total number of observations: 6.

Median = \sf\frac{n/2\ + n/2\ +\ 1}{2}

2

n/2 +n/2 + 1

, where n = total number of observations.

NOTE: The above formula is used only if n = an even number.

\begin{gathered}\sf7.5 = \frac{6/2\ +\ 6/2\ +\ 1}{2} \\\\7.5 = \frac{3rd\ term\ +\ 4th\ term}{2} \\\\7.5 = \frac{a\ +\ 9}{2} \\\\7.5 \times2 = a + 9\\\\15 = a + 9\\\\a = 15 - 9\\\\a = 6\end{gathered}

7.5=

2

6/2 + 6/2 + 1

7.5=

2

3rd term + 4th term

7.5=

2

a + 9

7.5×2=a+9

15=a+9

a=15−9

a=6

Therefore, a = 6.