Which of the following populations is closer to symmetry?Population A

1.	Which of the following populations is closer to symmetry?Population A : x̄ = 56, M0 = 60 and s = 24Population B : x̄ = 56, M = 60 and s = 30
Answer» Population A: x̄ = 56, M₀ = 60, s = 24 Coefficient of skewness: j = \(\frac{3\bar x−M_0}{s}\) = \(\frac{56−60}{24}\) = \(\frac{−4}{24}\) = -0.17 Population B: x̄ = 56, M = 60, s = 30 Coefficient of skewness: j = \(\frac{3\bar x−M_0}{s}\) = \(\frac{3\{56-60\}}{30}\) = \(\frac{3(−4)}{30}\) = -0.17 For population A, j = -0.17 and for population B, j = – 0.4. Therefore population A is more nearer to symmetry. Note: For comparison signs of j are ignored.

Which of the following populations is closer to symmetry?Population A : x̄ = 56, M0 = 60 and s = 24Population B : x̄ = 56, M = 60 and s = 30

Answer»

Population A:

x̄ = 56, M₀ = 60, s = 24

Coefficient of skewness:

j = \(\frac{3\bar x−M_0}{s}\)

= \(\frac{56−60}{24}\)

= \(\frac{−4}{24}\) = -0.17

Population B:

x̄ = 56, M = 60, s = 30

Coefficient of skewness:

j = \(\frac{3\bar x−M_0}{s}\)

= \(\frac{3\{56-60\}}{30}\)

= \(\frac{3(−4)}{30}\) = -0.17

For population A, j = -0.17 and for population B, j = – 0.4. Therefore population A is more nearer to symmetry.

Note: For comparison signs of j are ignored.