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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Statistics

Grade: Core-SAT3 Lesson: S8-P2

Explanation: Hello Students, time to practice and review the steps for the problem.

Discussion: Step1 Step2 Step3 Step4 Step5

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The frequency table shows the chemistry exam scores for a class. Display the data in a histogram. Describe the distribution. $5$
2	Step	Histogram: We will plot: → X-axis: Score ranges (1, 2, 3, and 4) → Y-axis: Number of students.
3	Step	Description of Distribution: → Shape: The distribution appears to be skewed right. Most students scored in the higher score ranges (3 and 4), with fewer students in the lowest range (1) and none in range 2 → Center: The bulk of the data is centered around score ranges 3 and 4 → Spread: The scores are spread from range 1 to range 4, with no students in the second range → Peaks: The highest peak is at score range 4, indicating that most students fall into this category.
4	Step	This description matches option 2’s indication that the distribution is correct. Let’s now plot the histogram for better visualization. $5.1$
5	Step	The histogram above displays the distribution of the chemistry exam scores. From the histogram, we can describe the distribution as follows: Shape: The distribution is skewed right. This is indicated by the majority of students scoring in the higher ranges (3 and 4) Center: Most students scored in the score ranges 3 and 4 Spread: Scores are distributed across four score ranges, with no students in score range 2 Peaks: The peak of the distribution is at score range 4, showing that the highest number of students fall into this range.
6	Step	Therefore, the description confirms that the histogram data is represented accurately by option 2.
7	Choice.A	This indicates that 3 students scored within the first score range	3
8	Choice.B	This is particularly important because it highlights the fact that there are no students in the second score range, which is a key feature of the distribution and can significantly affect the shape and interpretation of the histogram. This absence is crucial in describing the distribution, thus making option 2 (0 students) the correct answer for describing the data distribution as shown	0
9	Choice.C	This means that there are 5 students in one of the score ranges. In the histogram, this corresponds to the third score range	5
10	Choice.D	There are 7 students in the fourth score range, so the bar corresponding to "4" reaches up to 7 on the Y-axis	7
11	Answer	Option	B
12	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The frequency table shows the chemistry exam scores for a class. Display the data in a histogram. Describe the distribution.

$5$

Step

Histogram:
We will plot:
→ X-axis: Score ranges (1, 2, 3, and 4)
→ Y-axis: Number of students.

Step

Description of Distribution:
→ Shape: The distribution appears to be skewed right. Most students scored in the higher score ranges (3 and 4), with fewer students in the lowest range (1) and none in range 2
→ Center: The bulk of the data is centered around score ranges 3 and 4
→ Spread: The scores are spread from range 1 to range 4, with no students in the second range
→ Peaks: The highest peak is at score range 4, indicating that most students fall into this category.

Step

This description matches option 2’s indication that the distribution is correct. Let’s now plot the histogram for better visualization.

$5.1$

Step

The histogram above displays the distribution of the chemistry exam scores. From the histogram, we can describe the distribution as follows:
Shape: The distribution is skewed right. This is indicated by the majority of students scoring in the higher ranges (3 and 4)
Center: Most students scored in the score ranges 3 and 4
Spread: Scores are distributed across four score ranges, with no students in score range 2
Peaks: The peak of the distribution is at score range 4, showing that the highest number of students fall into this range.

Step

Therefore, the description confirms that the histogram data is represented accurately by option 2.

Choice.A

This indicates that 3 students scored within the first score range

Choice.B

This is particularly important because it highlights the fact that there are no students in the second score range, which is a key feature of the distribution and can significantly affect the shape and interpretation of the histogram. This absence is crucial in describing the distribution, thus making option 2 (0 students) the correct answer for describing the data distribution as shown

Choice.C

This means that there are 5 students in one of the score ranges. In the histogram, this corresponds to the third score range

Choice.D

There are 7 students in the fourth score range, so the bar corresponding to "4" reaches up to 7 on the Y-axis

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?