Statistics: 3rd grade math course to download in PDF.

Statistics course with the definition of the mean, median and range of a statistical series as well as the histogram, bar and pie charts.
The student should be able to study a statistical series by determining its mean or median knowing the value of the total number of people. Develop skills in representing a pie chart, histogram or bar graph. Master its various definitions by determining the population of a statistical series and the character studied. We will end this lesson by looking at real life examples from the ninth grade.

I. The statistical series

1. General vocabulary

Definition and vocabulary:

When conducting a survey, one is led to study characteristics (theme of the survey) specific to each individual.

  • The set of individuals is called the population.
  • The character can be qualitative (hair color, sports practiced or favorite movie) or quantitative (height, age, time spent in front of the television, …).
  • The total number of individuals in the population is called the total number of individuals and noted N.
  • The number of individuals who have the same characteristic is called the number of individuals of the characteristic.

Statistics is a branch of mathematics that studies a character in a population.

Examples:

1) Study the set of test scores (trait) in a class (population).

2) Study voting intentions for elections (character) on a sample of 1,000 people.

A statistical series is the data of a series of numbers presented in the form of a list or a table.
Example: transcript of a math test.

II The mean and range of a statistical series

Definition:

The mean of a statistical series is the quotient of the sum of all the values of this series by the total number of people.Moyenne\,=\frac{n_1\times  \,x_1+n_2\times  \,x_2+...+n_p\times  \,x_p}{N}

with: n_1,n_2,....,n_p the number of characters and x_1,x_2,.....,x_p the values of the character.

N being the total number of employees with N=n_1+n_2+....+n_p.

Example:

We have a sequence of notes: 5; 12; 19; 12; 8; 10; 11; 14; 3; 8; 7; 12; 10; 9; 8; 16; 14; 8; 5; 11.

Calculate the average of these scores:

Moyenne=\frac{5+\,12+\,19+\,12+\,8+\,10+\,11+\,14+\,3+\,8+\,7+\,12+\,10+\,9+\,8+\,16+\,14+\,8+\,5+\,11}{20}=\frac{202}{20}=10,1

Definition:

The frequency of a value of a characteristic is the quotient of the number of the value of the characteristic by the total number of people.

The frequency f in % represents the percentage of the workforce in relation to the total workforce.

f in =\frac{n_i}{N}\times  \,100

Example:

Using the previous series of notes, calculate the frequencies and then the mean of this statistical series.

Calculation of frequencies in stattistics

Moyenne=\frac{1\times  \,3+2\times  \,5+1\times  \,7+4\times  \,8+1\times  \,9+2\times  \,10+2\times  \,11+3\times  \,12+2\times  \,14+1\times  \,16+1\times  \,19}{20}=\frac{202}{20}=10,1

Concrete meaning of the average :

If each student were to get the same score then each student would get 10.1 out of 20.

Definition:

The range of a statistical series is the difference between the largest and smallest values in the series.

Example:

In the previous series, the range of notes is: 19-3 = 6.

III. The median of a statistical series

Definition:

The median of an ordered statistical series is a value of the character that divides the series into two groups of equal size such that :

  • a group contains values less than or equal to the median ;
  • the other group contains values greater than or equal to the median.

Example : case of an odd number of values.

Here are the grades of a group of 9 students on a math assignment.

5-6-11-13-6-14-12-8-13

First you have to arrange the numbers in ascending order: 5< 6 <6 <8<11<12<13<13<14

The median of this statistical series is the fifth value, so 11.

Example : case of an even number of values.

Here are the grades of a group of 6 students on a physical science assignment.

6-13-18-16-14-5

First you have to arrange the numbers in ascending order: 5<6<13<14<16<18

The median of this statistical series is the average between the third and fourth values.

mediane=\frac{13+14}{2}=13,5

Concrete meaning of the median:

There are as many students who scored below 13.5 as there are students who scored above 13.5.

Things to remember:

Skills to learn about statistics:

what to remember

  • Know the definition of a population and a characteristic;
  • Calculate a frequency and an average;
  • To know how to determine the median of a statistical series according to the parity of the total number;
  • Use graphical representations such as pie charts, bar graphs and histograms.

These exercises are in accordance with the officialnational education programs.

In addition, you can consult the exercises on statistics in third grade.

Cette publication est également disponible en : Français (French) العربية (Arabic)

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «statistics: 3rd grade math course to download in PDF.» au format PDF afin de pouvoir travailler en totale autonomie.


D'autres fiches dans la section 3rd grade math class




Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.


D'autres articles analogues à statistics: 3rd grade math course to download in PDF.


  • 99
    Homotheties: 3rd grade math course to download in PDF.A course on homotheties with the definition of the transformation as well as the different properties of conservation and the effects on the enlargement or reduction of figures. The student should be able to construct the image of a figure by a homothety of center O and ratio k using…
  • 98
    Inequations: 3rd grade math course download PDF.Inequations must be mastered by students in the third grade. For this purpose, this course on solving first degree inequalities with one unknown in the third grade (3ème) will be of great help to you. In this chapter, we will study the definition as well as the method of solution…
  • 97
    Powers: 4th grade math course download PDF.A math course on powers in the fourth grade. The student must have assimilated the definition of a power but also know the different formulas such as the product of two powers, the quotient of powers or the power of a power. Develop computational skills with scientific writing (or scientific…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à statistics: 3rd grade math course to download in PDF. .

  1. Integrals : corrected high school math exercises in PDF.
  2. Intégrales : exercices de maths en terminale corrigés en PDF.
  3. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  4. Functions and limits: senior math exercises corrected in PDF.
  5. Fonctions et limites : exercices de maths en terminale corrigés en PDF.


Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 115 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

.
Scroll to Top
Mathématiques Web

FREE
VIEW