Question

the histogram shows a city’s daily high temperatures recorded for four weeks. daily high temperatures (°f) histogram: y - axis “number of days” (1–5), x - axis “temperature (°f)” (0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65). which phrase describes the shape of the temperature data? ○ symmetrical ○ left - skewed ○ right - skewed ○ normal

Explanation:

To determine the shape of the histogram, we analyze the symmetry. A symmetrical histogram has data distributed evenly around a central peak, with the left and right sides mirroring each other. In this temperature data histogram, the left and right sides of the central peak (around 35 - 45°F) appear to be roughly mirror images in terms of bar heights and distribution. A left - skewed distribution has a longer tail on the left, and a right - skewed has a longer tail on the right; this histogram doesn't show such a long tail on either side. A normal distribution is a specific type of symmetrical distribution with a bell - shape, but here we first identify the general symmetry. Since the data is evenly distributed around the center, it is symmetrical.

Answer:

symmetrical