bunterocks wrote:
In the distribution of the variable A, the mean is 56 and the measurement p lies between the 65th and 70th percentiles. In the distribution of measurements of variable B, the mean is 56 and the measurement q lies between the 75th and 80th percentiles.
Quantity A |
Quantity B |
p |
q |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
In a normal distribution - 65th, 70th, 75th, 80th percentiles all lie between mean and 1σ above mean.
Here, both the distributions A and B have a mean of 56, but, we have no idea about their standard deviation!
Let's take 2 cases here;
Case I:\(σ_A = 10\)
\(σ_B = 2\)
Col. A: a value between 56 and 66
Col. B: a value between 56 and 58
So. Col. A > Col. B
Case II:\(σ_A = 2\)
\(σ_B = 10\)
Col. A: a value between 56 and 58
Col. B: a value between 56 and 66
So. Col. A < Col. B
Hence, option D