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Chapter 1: Q 65. (page 48)

Comparing AP scores The table below gives the distribution of grades earned by students taking the AP Calculus AB and AP Statistics exams in 2009

(a) Make an appropriate graphical display to compare the grade distributions for AP Calculus AB and AP Statistics.

(b) Write a few sentences comparing the two distributions of exam grades.

Short Answer

Expert verified

Part (b)

  • Calculus AB students is two-peaked.
  • Statistics students is one-peaked.

Part (a) Calculus AB

AP Statistics

Step by step solution

01

Part (a) Step 1: Given information

Given data :




Grade


No. of exams
54321
Calculus AB2305885292143140412043584357480
Statistics116,87614,35326,050282762228325914
02

Part (a) Step 2: Concept

A histogram is a common graphing tool. It's utilized to summarize discrete or continuous data that's measured on an interval scale. It's widely used to show the key properties of a data distribution in a user-friendly style.

03

Part (a) Step 3: Explanation

The % is calculated by dividing the number of rows in the table by the total number of rows (number of exams).

Because the Grade is categorical, you should use a bar graph (histogram requires that the variable is numerical).

The bars must be the same width and height, and the percentage of exams must be the same.

CALCULUS AB

STATISTIC

The comparison of the two graphs occurs in the next part of the question.

04

Part (b) Step 1: Explanation

The number of students who did Calculus AB is significantly higher than the number who took statistics. The majority of students in Statistics have a grade of 3, but the majority of students in Calculus AB earn a grade of 1or 5.

Calculus AB students have a two-peaked distribution, whereas statistics students have a one-peaked, generally bell-shaped distribution.

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