Question

which comparison of the distributions is true? the distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is nearly symmetric. the distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric. the distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is skewed right. the distribution of low temperatures is skewed right, and the distribution of high temperatures is skewed right.

Explanation:

Step1: Analyze the distribution of daily lows

For the daily lows (blue bars), the frequencies increase to a peak (at \(15 - 20^{\circ}F\)) and then decrease. But the left - side (lower temperature ranges: \(0 - 5^{\circ}F\), \(5 - 10^{\circ}F\), \(10 - 15^{\circ}F\)) has fewer data points compared to the right - side (higher temperature ranges: \(20 - 25^{\circ}F\), \(25 - 30^{\circ}F\)) relative to the peak. So, the distribution of daily lows is skewed right.

Step2: Analyze the distribution of daily highs

For the daily highs (white bars), the frequencies increase to a peak (at \(35 - 40^{\circ}F\)) and then decrease. The shape of the distribution (when we consider the bars on either side of the peak) is such that it is nearly symmetric. The bars on the left - hand side of the peak (\(25 - 30^{\circ}F\), \(30 - 35^{\circ}F\)) and the bars on the right - hand side of the peak (\(40 - 45^{\circ}F\), \(45 - 50^{\circ}F\)) have a similar pattern around the central peak (\(35 - 40^{\circ}F\)).

Answer:

The distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric.