The interquartile range (IQR) of a distribution is given as 7. The 25th percentile (Q1) is given as 16. We need to find the upper quartile, which is the 75th percentile (Q3).

1. Problem Description

The interquartile range (IQR) of a distribution is given as

7. The 25th percentile (Q1) is given as

1

6. We need to find the upper quartile, which is the 75th percentile (Q3).

2. Solution Steps

The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and the first quartile (Q1). In other words,

$IQR = Q3 - Q1$

We are given that $IQR = 7$ and $Q1 = 16$. We need to find $Q3$.

We can rearrange the formula to solve for $Q3$:

$Q3 = IQR + Q1$

Substitute the given values:

$Q3 = 7 + 16$

$Q3 = 23$

3. Final Answer

The upper quartile (Q3) is

2

3. The answer is C.