**Joint relative frequency worksheet :**

One other type of relative frequency that we can obtain from a two-way frequency table is a joint relative frequency. A joint relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total.

Worksheet given in this section is much useful to the students who would like to practice problems on calculating joint relative frequencies.

**Problem 1 :**

A survey is made among 100 students in a middle school. They are asked, how they travel to school. The table given below shows the results of the survey.

Use the above table to find each joint relative frequency.

(i) Find the joint relative frequency that a student surveyed prefers car, given that the student is a boy.

(ii) Find the joint relative frequency that a student surveyed is a boy, given that the student prefers bus.

**Problem 2 :**

A survey is conducted among school students. 50 students are randomly selected and they are asked, whether they prefer dogs, cats or other pets. The table given below shows the results of the survey.

Use the above table to find each joint relative frequency.

(i) Find the joint relative frequency that a student surveyed prefers cats as pets, given that the student is a girl.

(ii) Find the joint relative frequency that a student surveyed is a girl, given that the student prefers dog as pets.

**Problem 1 :**

A survey is made among 100 students in a middle school. They are asked, how they travel to school. The table given below shows the results of the survey.

Use the above table to find each joint relative frequency.

(i) Find the joint relative frequency that a student surveyed prefers car, given that the student is a boy.

(ii) Find the joint relative frequency that a student surveyed is a boy, given that the student prefers bus.

**Solution (i) : **

Divide the number of boys who prefer car by the number of boys. Express your answer as a decimal and as a percent.

25/100 = 0.25 = 25%

**Solution (ii) : **

Divide the number of boys who prefer bus by the number of students who prefer bus. Express your answer as a decimal and as a percent.

34/72 ≈ 0.47 = 47%

**Problem 2 :**

A survey is conducted among school students. 50 students are randomly selected and they are asked, whether they prefer dogs, cats or other pets. The table given below shows the results of the survey.

Use the above table to find each joint relative frequency.

(i) Find the joint relative frequency that a student surveyed prefers cats as pets, given that the student is a girl.

(ii) Find the joint relative frequency that a student surveyed is a girl, given that the student prefers dog as pets.

**Solution (i) : **

Divide the number of girls who prefer cats by the number of girls. Express your answer as a decimal and as a percent.

6/28 ≈ 0.21 = 21%

**Solution (ii) : **

Divide the number of girls who prefer dogs by the number of students who prefer dogs. Express your answer as a decimal and as a percent.

12/22 ≈ 0.55 = 55%

After having gone through the stuff given above, we hope that the students would have understood, "Joint relative frequency worksheet"

Apart from the stuff given above, if you want to know more about "Joint relative frequency", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**