1

Problem

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

2

Step

Histogram:

We will plot:
→ X-axis: Score ranges (1, 2, 3, 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

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 most 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

Solution

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

7

Sumup

Please summarize steps

Choices

8

Choice-A

This indicates that 3 students scored within the first score range

Wrong 3

9

Choice-B

This is important as it highlights the absence of students in the second score range, impacting the histogram’s shape and interpretation. This makes option 2 (0 students) the correct answer

Correct 0

10

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

Wrong 5

11

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

Wrong 7

12

Answer

Option

B

13

Sumup

Please summarize choices