Question

three distributions, labeled (a), (b), and (c) are represented below by their histograms. each distribution is symmetrical and is made of 10 measurements. without performing any calculations, order their respective standard deviations $sigma_a$, $sigma_b$, and $sigma_c$.

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures the spread of data.

Step2: Analyze the histograms

Distribution (b) has data more clustered around the center, so it has the smallest standard - deviation. Distribution (a) has more spread than (b) but less than (c). Distribution (c) has the most spread out data.

Answer:

$\sigma_b<\sigma_a<\sigma_c$