The cumulative frequency and cumulative relative frequency

Chapter 1, Problem 31E

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QUESTION:

Problem 31E

The cumulative frequency and cumulative relative frequency for a particular class interval are the sum of frequencies and relative frequencies, respectively, for that interval and all intervals lying below it. If, for example, there are four intervals with frequencies 9, 16, 13, and 12, then the cumulative frequencies are 9, 25, 38, and 50, and the cumulative relative frequencies are .18, .50, .76, and 1.00. Compute the cumulative frequencies and cumulative relative frequencies for the data of Exercise 24.

Reference exercise -24

The accompanying data set consists of observations on shear strength (lb) of ultrasonic spot welds made on a certain type of alclad sheet. Construct a relative frequency histogram based on ten equal-width classes with boundaries 4000, 4200, . . . . [The histogram will agree with the one in “Comparison of Properties of Joints Prepared by Ultrasonic Welding and Other Means” (J. of Aircraft, 1983: 552–556).] Comment on its features.

Questions & Answers

QUESTION:

Problem 31E

The cumulative frequency and cumulative relative frequency for a particular class interval are the sum of frequencies and relative frequencies, respectively, for that interval and all intervals lying below it. If, for example, there are four intervals with frequencies 9, 16, 13, and 12, then the cumulative frequencies are 9, 25, 38, and 50, and the cumulative relative frequencies are .18, .50, .76, and 1.00. Compute the cumulative frequencies and cumulative relative frequencies for the data of Exercise 24.

Reference exercise -24

The accompanying data set consists of observations on shear strength (lb) of ultrasonic spot welds made on a certain type of alclad sheet. Construct a relative frequency histogram based on ten equal-width classes with boundaries 4000, 4200, . . . . [The histogram will agree with the one in “Comparison of Properties of Joints Prepared by Ultrasonic Welding and Other Means” (J. of Aircraft, 1983: 552–556).] Comment on its features.

ANSWER:

Solution:

Step 1 of 2:

We have the data of shear strength of ultrasonic spot welds on a certain type of alclad sheet.

5434

4948

4521

4570

4990

5702

5241

5112

5015

4659

4806

4637

5670

4381

4820

5043

4886

4599

5288

5299

4848

5378

5260

5055

5828

5218

4859

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