Questions: The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class Frequency A 39-44 1 B 45-50 1 C 51-56 6 D 57-62 15 E 63-68 5 F 69-74 1 G 75-80 2 Do the data appear to have a distribution that is approximately normal? A. No, it is approximately uniform. B. Yes, it is approximately normal. C. No, it is not at all symmetric. D. No, it is completely erratic.

The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? Class Frequency A 39-44 1 B 45-50 1 C 51-56 6 D 57-62 15 E 63-68 5 F 69-74 1 G 75-80 2 Do the data appear to have a distribution that is approximately normal? A. No, it is approximately uniform. B. Yes, it is approximately normal. C. No, it is not at all symmetric. D. No, it is completely erratic.
Transcript text: The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? \begin{tabular}{|c|c|} \hline Class & Frequency \\ \hline A $39-44$ & 1 \\ B $45-50$ & 1 \\ C $51-56$ & 6 \\ D $57-62$ & 15 \\ E $63-68$ & 5 \\ F $69-74$ & 1 \\ G $75-80$ & 2 \\ \hline \end{tabular} Do the data appear to have a distribution that is approximately normal? A. No, it is approximately uniform. B. Yes, it is approximately normal. C. No, it is not at all symmetric. D. No, it is completely erratic.
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem requires constructing a histogram from the given frequency distribution of low temperatures recorded over a 31-day month and determining if the data distribution is approximately normal.

Step 2: Construct the Histogram

Using the given frequency distribution:

  • Class A (39-44): Frequency = 1
  • Class B (45-50): Frequency = 1
  • Class C (51-56): Frequency = 6
  • Class D (57-62): Frequency = 15
  • Class E (63-68): Frequency = 5
  • Class F (69-74): Frequency = 1
  • Class G (75-80): Frequency = 2
Step 3: Analyze the Histogram
  • The histogram will have a peak at Class D (57-62) with a frequency of 15.
  • The frequencies decrease symmetrically on either side of the peak, with lower frequencies in Classes A, B, F, and G.

Final Answer

The data appear to have a distribution that is approximately normal.

Answer: B. Yes, it is approximately normal.

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