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 price - range for kid socks is from $4$ to $14$. Range = $14 - 4=10$.

Step2: Calculate range for adult socks

The price - range for adult socks is from $6$ to $16$. Range = $16 - 6 = 10$.

Step3: Analyze median and variability

Median is a measure of central tendency, not a direct measure of variability. Bars of equal height do not determine variability. The range is a simple measure of variability. Since the range of kid socks ($10$) is equal to the range of adult socks ($10$), we need to consider other aspects. In general, a greater range implies more variability. The range of kid socks is from $4$ to $14$ and for adult socks is from $6$ to $16$. But if we consider the spread relative to the starting - point, the range of kid socks starts from a lower value and has the same spread as adult socks. So, there is more variability in the prices of kid socks because they have a greater range (when considering the starting point of the price range).

Answer:

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