Questions: The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. Use the histogram to answers parts (a) through (g). 10s of 7th Grade Students (a) How many students were sampled? 200 students (b) Determine the class width. The class width is .

The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. Use the histogram to answers parts (a) through (g).

10s of 7th Grade Students
(a) How many students were sampled?

200 students
(b) Determine the class width.

The class width is .

Transcript text: The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of each class is labeled above each rectangle. Use the histogram to answers parts (a) through (g). 10s of 7h Grade Students (a) How many students were sampled? 200 students (b) Determine the class width. The class width is $\square$.

Solution

Solution Steps

Step 1: Calculate the total number of students sampled

The total number of students sampled is the sum of the frequencies of each class. From the histogram, the frequencies are 1, 3, 12, 48, 49, 41, 30, 10, 4, and 2. 1 + 3 + 12 + 48 + 49 + 41 + 30 + 10 + 4 + 2 = 200.

Step 2: Find the class width

The class width is the difference between the upper and lower limits of any class. For instance, the first class is from 60 to 70. 70 - 60 = 10.

Step 3: Check another class to confirm the class width is consistent

Let's take the class from 90-100. 100 - 90 = 10.