WILL GIVE BRAINLIEST When the outlier(s) are removed, how does the mean change?

dot plot with 1 dot over 50, 2 dots over 72, 1 dot over 74, 1 dot over 76, 1 dot over 78, 3 dots over 79, 1 dot over 80, 1 dot over 81, 3 dots over 82, and 1 dot over 83

The mean decreases by 1.9.
The mean increases by 2.4.
The mean increases by 1.9.
There are no outliers.

mean=50×1+72×2+74×1+76×1+ 78×1+79×3+80×1+81×1+82×3+83×11+2+1+1+1+3+1+1+3+1

=50+144+74+76+78+237+80+81+246+83

15

=1149

15

=383/5

=76.6

when outliers are removed.

outlier=50

new mean

=72×2+74×1+76×1+78×1+79×3+80×1+81×1+82×3+83×114

\[=\frac{1099}{14}

\[=\frac{157}{2}

=78.5

mean increases by 1.9

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15