Questions: Consider the following frequency table. What would be the shape of the corresponding histogram? Grade Frequency 1-2 68 3-4 95 5-6 42 7-8 12 9-10 3 11-12 1 Skewed Right Skewed Left Bimodal Uniform Symmetric

Consider the following frequency table. What would be the shape of the corresponding histogram? Grade Frequency 1-2 68 3-4 95 5-6 42 7-8 12 9-10 3 11-12 1 Skewed Right Skewed Left Bimodal Uniform Symmetric
Transcript text: Consider the following frequency table. What would be the shape of the corresponding histogram? Grade & Frequency $1-2$ & 68 $3-4$ & 95 $5-6$ & 42 $7-8$ & 12 $9-10$ & 3 $11-12$ & 1 Skewed Right Skewed Left Bimodal Uniform Symmetric
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Solution

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Solution Steps

Step 1: Analyze the Frequency Distribution

The frequency table shows the distribution of grades and their corresponding frequencies:

  • \(1-2\): 68
  • \(3-4\): 95
  • \(5-6\): 42
  • \(7-8\): 12
  • \(9-10\): 3
  • \(11-12\): 1
Step 2: Observe the Trend in Frequencies

The frequencies decrease as the grade intervals increase. The highest frequency is in the \(3-4\) interval, and the frequencies gradually decrease for higher grade intervals.

Step 3: Determine the Shape of the Histogram

Since the frequencies are higher on the left side (lower grades) and taper off to the right (higher grades), the histogram would be skewed right. This is because the tail of the distribution extends more to the right.

Final Answer

The shape of the corresponding histogram is \(\boxed{\text{Skewed Right}}\).

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