1

Problem

The frequency table shows the chemistry exam scores for a class. Create a histogram and describe the distribution. What best describes the data?

2

Step

Understand the Given Data:

The frequency table provides score ranges and the number of students who scored in each range.

3

Step

Create a Histogram:

Each score range is represented on the x-axis.

The frequency (number of students) is represented on the y-axis.

Bars are drawn for each range with heights corresponding to the frequency.

4

Step

Identify Key Characteristics of the Histogram:

The highest frequency is 16 (in the 81-90 range), followed by 10 (in the 91-100 range).

The lowest frequencies occur in the lower ranges (1 in 41-50 and 0 in 51-60).

The frequency gradually increases from 61-70 to 81-90, then slightly decreases in the range of 91-100.

There is a gap at 51-60, meaning no students scored in this range.

5

Step

Determine the Shape of the Distribution:

Since the data has more values concentrated in the higher score ranges (81-100) and fewer in the lower ranges (41-60), the distribution is right-skewed (positively skewed).

A right-skewed distribution means that most students performed well, with fewer low scores.

6

Solution

Option C (Right-skewed)is correct, as the data is concentrated in the higher ranges.

7

Sumup

Please summarize steps

Choices

8

Choice-A

This option is incorrect, because left-skewed distributions have more values in the lower ranges

Wrong The distribution is left-skewed, with most students scoring in the lower ranges

9

Choice-B

This option is incorrect because a uniform distribution has similar frequencies across all ranges

Wrong The distribution is uniform, with an equal number of students in each range

10

Choice-C

This option is correct, as the data is concentrated in the higher ranges

Correct The distribution is right-skewed, with more students scoring in the higher ranges

11

Choice-D

This option is incorrect, because there are no two distinct peaks in frequency

Wrong The distribution is bimodal, with two distinct peaks in frequency

12

Answer

Option

C

13

Sumup

Please summarize choices