Select the correct answer.
which data set has the greatest spread?

set a – {84, 91, 87, 77, 94, 89, 74}
set b – {89, 73, 84, 91, 87, 77, 94}
set c – {73, 84, 89, 88, 77, 91, 87, 90}
set d – {84, 89, 88, 82, 91, 87, 99}

a.
set a
b.
set b
c.
set c
d.
set d

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this