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A quantitative data set has been grouped by using limit grouping with equal-width classes of width 5. The class limits are whole numbers.

a. If the class mark of the first class is 8, what are its lower and upper limits?

b. What is the class mark of the second class?

c. What are the lower and upper limits of the third class?

d. Which class would contain an observation of 28 ?

Short Answer

Expert verified

(a) The first class's top and lower limitations are 10and 6

(b) The second class's classmark is 13.

(c) The third class's top and lower limitations are 20and 16

(d) The observation of 28is found in the fourth class.

Step by step solution

01

Part (a) Step 1: Concept introduction

A grouping system is a type comprising a correlated activity that integrates any number of members of the subset to generate a factor of the range, with a self - concept and an exact opposite for each component.

02

Part (a) Step 2: Explanation

Limit grouping with equal-width classes was used to group a quantitative data set.

The width of the class is5

The average of the lower and upper bounds is the class mark.

The average of the limitations is 8and the class breadth is 5.

As a result, the first class's top and lower limitations are 10and 6, respectively.

03

Part (b) Step 1: Concept introduction

A grouping system is a type comprising a correlated activity that integrates any number of members of the subset to generate a factor of the range, with a self - concept and an exact opposite for each component.

04

Part (b) Step 2: Explanation

Limit grouping with equal-width classes was used to group a quantitative data set.

The first class has a lower and upper limit of 3and 8, respectively.

The width of the class is six.

The average of the lower and upper bounds is the class mark.

The second class mark is equal to the first-class mark multiplied by the class width.

As a result, the second class's classmark is 13.

05

Part (c) Step 1: Concept introduction

A grouping system is a type comprising a correlated activity that integrates any number of members of the subset to generate a factor of the range, with a self - concept and an exact opposite for each component.

06

Part (c) Step 2: Explanation

Limit grouping with equal-width classes was used to group a quantitative data set. The width of the class is 5.

The average of the lower and upper bounds is the class mark.

The third-grade class mark is determined by

13+5=18

As a result, the third class's top and lower limitations are localid="1652980005055" 20and localid="1652980009122" 16, respectively.

07

Part (d) Step 1: Concept introduction

A grouping system is a type comprising a correlated activity that integrates any number of members of the subset to generate a factor of the range, with a self - concept and an exact opposite for each component.

08

Part (d) Step 2: Explanation

A class's lower class limit is the smallest data value that can be stored in the class.

Calculation: The observation of 28is in fifth class because it is outside of the fourth class's lower and upper bounds.

As a result, the observation of 28is found in fourth class.

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