Question

2. Find the mode and median of the data: (4) 13, 16, 12, 14, 19, 12, 14, 13, 14​

Answer 1

Answer:

we will arrange the data in ascending order

13,16,12,14,19,12,14,13,14

we can seen the 14 number occurs 14 time

mode is 14

median will be 5th number which is 14

median is 14

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Given :

\rightarrowtail\bold{2x^{2}-8x+p=0}↣2x

2

−8x+p=0

\rightarrowtail \bold{It\;has\;two\;distinct\;real\;roots.}↣Ithastwodistinctrealroots.

To find :

\rightarrowtail \bold{Highest\;possible\;integer\;value\;of\;p\;?}↣Highestpossibleintegervalueofp?

Solution :

If discriminant (b² - 4ac) > 0, the quadratic equation has two distinct real roots.

\rightsquigarrow \bold{2x^2-8x+p=0}⇝2x

2

−8x+p=0

b² - 4ac > 0

⇒ (-8)² - 4(2)(p) > 0

⇒ 64 - 8p > 0

⇒ 64/8 - 8p/8 > 0

⇒ 8 - p > 0

⇒ -p > -8

[When dividing with (-) sign, always inequality reverses]

⇒ p < 8

∴ Largest possible integer value of p is less than 8, that is 7.