Question

what is true about the variability of the prices of socks in kid sizes or adult sizes? there is more variability in the prices of kid socks because they have a greater range. there is more variability in the prices of kid socks because the median is lower. there is more variability in the prices of adult socks because there are two bars of equal height. there is more variability in the prices of adult socks because the median is greater.

Explanation:

Step1: Calculate range for kid socks

The lowest price range for kid - socks is $4 - 6$ and the highest is $14 - 16$. So the range for kid socks is from $4$ to $16$, and the range value is $16 - 4=12$.

Step2: Calculate range for adult socks

The lowest price range for adult - socks is $4 - 6$ and the highest is $14 - 16$. So the range for adult socks is from $4$ to $16$, and the range value is $16 - 4 = 12$.

Step3: Analyze median concept

Median is the middle - value when data is arranged in ascending or descending order. Just knowing the median is lower or higher does not directly tell us about variability. Having two bars of equal height also does not directly relate to variability. Variability is often measured by range, standard deviation etc. Since the range of kid socks is the same as that of adult socks, we need to consider other factors. But among the given options, range is the most relevant measure of variability considered here. The range of kid socks is $16 - 4=12$ and for adult socks is also $16 - 4 = 12$. However, if we consider the distribution visually, we can see that the values for kid socks are more spread out in terms of frequency across different price - ranges.

Answer:

There is more variability in the prices of kid socks because they have a greater range.