The interquartile range of a distribution is 7.if the 25th percentile is 16,find the upper quartile
23
To find the upper quartile, we first need to find the median (which is also known as the 50th percentile) of the distribution. Then, we can use the interquartile range (IQR) to calculate the upper quartile.
Given that the IQR is 7, we can say that the difference between the upper quartile (Q3) and the lower quartile (Q1) is 7. Therefore, Q3 - Q1 = 7.
We also know the 25th percentile is 16, which is also the value of Q1.
So, Q1 = 25th percentile = 16.
We can substitute this value into the equation: Q3 - 16 = 7.
To solve for Q3, we add 16 to both sides of the equation: Q3 = 16 + 7.
Therefore, the upper quartile (Q3) is 23.