Grade 6 / Statistics 23 exercises (100% corrected)

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AbidjanDakarOugadougouLoméBamakoYaoundéYaoundéBamakoLoméOugadougouDakarAbidjan02014320010621750181820140117310176833133200117301573120314511062101715730699917175068312036990828181831314519178280 1. Simple tables E.5592 The table below represents, for each month of the year, the average temperature in 2008 in Lome: Mois Janvier Février Mars Avril Mai Juin Température (en o C ) 32.5 33.6 33.1 33.8 32.9 30.5 Mois Juillet Août Sept. Oct. Nov. Dec. Température (en o C ) 29.6 29.1 29.0 31.9 33.4 33.0 1 What was the average temperature in Lomé in April 2008? 2 What was the hottest month, on average, during the year 2008 ? 3 Determine the difference, expressed in degrees, between the highest and lowest average temperature during the year 2008 . E.5595 A survey was conducted on the num-ber of siblings of 400 students in an elementary school. The table below summarizes this study with one omitted data item: Number of brothers and sisters 0 1 2 3 4 Nombre d’élèves concernés 97 125 134 5 1 Complete the table. 2 How many students have more than 2 siblings. 2. Reading a double entry table E.1561 The following table provides some information about the Olympic Games : 1896 1936 1968 1992 2004 Location Athens Berlin Mexico Barcelona Athènes Nombres de nations participantes 14 49 112 169 201 Nombres d’athlètes 241 3 963 5 516 9 356 11 099 Nombres d’épreuve 43 129 172 257 301 1 Where did the 1936 Olympic Games take place? 2 In which years were there more than 5 000 athletes at the Olympic Games? 3 Which Olympic Games had the most participating coun-tries? In which year? E.1557 The following table shows the evo-lution of the number of licensees (in thousands) in France in five sports. 1980 2000 2002 Soccer 1154 2150 2066 Rugby 209 264 253 Basket-ball 304 437 427 Tennis 787 1048 1068 Ski 544 183 152 1 Indicate, for each sport, the year with the most licensees 2 For which sport was there an increase each year in the number of licensees? E.3899 The two-way table below represents the distance, as the crow flies, between different capitals in Africa: 1 What is the distance : a between Dakar and Bamako; b between Yaoundé and Lomé. 2 Which two cities are separated by a distance of 1017 km 3 A businessman is touring his companies. He travels from Dakar to Yaoundé, then passes through Lomé and finally returns to Dakar. How long was his journey by plane? https://chingmath.fr chapExoCorrec/5592 sacados/5592 chapExoCorrec/5595 sacados/5595 chapExoCorrec/1561 sacados/1561 chapExoCorrec/1557 sacados/1557 chapExoCorrec/3899 sacados/3899 AbidjanDakarOugadougouLoméBamakoYaoundéYaoundéBamakoLoméOugadougouDakarAbidjan02014320010621750181820140117310176833133200117301573120314511062101715730699917175068312036990828181831314519178280
1,551,61,651,71,751,81,851,922,921,520,219181716,115,22523,42220,819,618,517,516,627,125,423,922,521,220,1191829,127,325,724,222,921,620,519,431,229,327,52624,523,121,920,833,331,329,427,726,124,723,422,235,433,231,229,427,826,224,823,555606570758085TmT:taille en mètres;m:masse en kilogrammes Train5523Train4864Train3318Train5829Train6377Train9065Sète5h126h156h467h007h08Frontignan5h176h216h527h067h14Vic Mireval6h577h117h25Villeneuve7h037h177h25Montpellier5h336h376h447h137h267h35St-Aunès7h33Baillargues5h416h456h527h217h377h43Lunel Viel7h43Lunel5h506h546h597h307h467h52Gallargues7h04Vergèze5h577h017h097h387h59Uchaud7h13Milhaud7h18Saint Césaire7h22Nîmes6h097h147h297h528h14 E.6361 BMI (body mass index) is a formula that allows an individual’s weight and height to be used to assess the risk of overweight or anorexia in adults. It is de-fined as : IMC = masse taille × taille où weight is expressed in kilo-grams and height in meters. Here is a table of BMI values for some weights and heights : The WHO (World Health Organization) then uses the follow-ing classification : IMC Interpretation less than 16.5 denutrition 16.5 to 18.5 lean 18.5 to 25 normal build 25 to 30 overweight 30 to 35 moderate obesity 35 to 40 severe obesity over 40 morbid obesity 1 Using the chart and in an adult : a Name at least three different values of Taille = masse to interpret a ˇ thinness ı. b Name at least three different Taille = masse values to inter-pret a ˇ moderate obesity ı. 2 What can be said about the following sentences : a ˇ At equal sizes, as weight increases BMI increases ı b ˇ For two people of equal weight, the one with the greater BMI is the person with the greater height ı. 3 Michel, a sixth grader, calculates his BMI and gets 28.3 . What interpretation can be made of her BMI? E.11088 Below is part of the timetable for trains running every morning on the line connecting the city of Sète to the city of Nîmes : Leaving from Sète, Anton plans two different routes to get to Nîmes. 1 For his first route, he wants to take the train leaving at 6 h 15 . a What is the number of the train he needs to take? b What time will he arrive in Nîmes? c How long does this journey take? 2 For his second journey, he wants to be at Nîmes station at 8 a.m. a What is the last train he can take? b What time will he arrive in Nîmes? c How long does this journey take? 3. Fill in a double entry table E.2813 We’re interested in three classes of sixth graders at a school. Volleyball and soccer are offered as extracurricular activities, and between them they have 354 members. Here is some additional information gathered : 76 girls signed up for Volleyball Volleyball has 132 members. Boys number 238 . Volleyball Football Total Boys Girls Total https://chingmath.fr chapExoCorrec/6361 sacados/6361 1,551,61,651,71,751,81,851,922,921,520,219181716,115,22523,42220,819,618,517,516,627,125,423,922,521,220,1191829,127,325,724,222,921,620,519,431,229,327,52624,523,121,920,833,331,329,427,726,124,723,422,235,433,231,229,427,826,224,823,555606570758085TmT:taille en mètres;m:masse en kilogrammes chapExoCorrec/11088 sacados/11088 Train5523Train4864Train3318Train5829Train6377Train9065Sète5h126h156h467h007h08Frontignan5h176h216h527h067h14Vic Mireval6h577h117h25Villeneuve7h037h177h25Montpellier5h336h376h447h137h267h35St-Aunès7h33Baillargues5h416h456h527h217h377h43Lunel Viel7h43Lunel5h506h546h597h307h467h52Gallargues7h04Vergèze5h577h017h097h387h59Uchaud7h13Milhaud7h18Saint Césaire7h22Nîmes6h097h147h297h528h14 chapExoCorrec/2813 sacados/2813
Taille(enm)E∑ectif;31;;41;;51;;61;;71;Total 01040 010 010 014 01 01 E.1558 A company closes in July and Au-gust. All the company’s 50 employees take their vacations during this period. We have the following information : 12 men took their vacation in July. 28 people took their vacation in August. There are 17 women in the company Copy and complete the table opposite : July August Total Femmes en vacances Hommes en vacances Total en vacances E.11084 A statistical study was conducted on 154 sixth-grade students and their mode of transportation to school each day. Here are some of the results of this study : There are a total of 83 girls, and 42 of them walk to school. There are 17 boys who come by car. There are 30 students who come by bike and 43 students who come by car. Complete the table : On foot By bike By car Total Girls Boys Total 4. Create a table E.5596 20 students were asked to choose an integer between 0 and 5 . Their answers are as follows : 2 ; 3 ; 4 ; 5 ; 1 ; 0 ; 2 ; 4 1 ; 2 ; 5 ; 4 ; 1 ; 0 ; 1 ; 2 2 ; 4 ; 0 ; 3 1 Represent these data in a table that, to each of the inte-gers between 0 and 5 , associates the number of students who chose that integer. 2 Which integer was the most chosen by the students? E.5597 Among a group of people, there are men and women and adults and minors : Among the major persons, there are 16 women and 12 men. This group includes 25 minors of whom 14 are males. 1 Represent these data in a two-way table. 2 a How many people were included in this study? b How many males are included in this group? E.11086 Here are the heights, in meters, of the students in a seventh-grade class : 1.42 ; 1.50 ; 1.38 ; 1.56 ; 1.62 ; 1.61 ; 1.72 ; 1.65 1.42 ; 1.45 ; 1.54 ; 1.32 ; 1.44 ; 1.56 ; 1.58 ; 1.45 1.73 ; 1.74 ; 1.62 ; 1.46 ; 1.54 ; 1.52 ; 1.71 ; 1.73 Complete the table below : 5. Read the graduations of an axis E.2225 For each of the graduated lines be-low, the marking of the graduation has not been done com-pletely. Complete each one carefully: 1 2 3 4 5 6 https://chingmath.fr chapExoCorrec/1558 sacados/1558 chapExoCorrec/11084 sacados/11084 chapExoCorrec/5596 sacados/5596 chapExoCorrec/5597 sacados/5597 chapExoCorrec/11086 sacados/11086 Taille(enm)E∑ectif;31;;41;;51;;61;;71;Total chapExoCorrec/2225 sacados/2225 01040 010 010 014 01 01
0232 01 01 012 Nombre d’élèves(dizaine de milliers)1020304050EnavanceAl’âgeEnretardd’unanEnretardde2ansetplus Centaines de communes12345AllierCantalPuy-de-dômeHaute-Loire E.5593 For each of the graduated lines be-low, the marking of the graduation has not been done com-pletely. Complete each one carefully: a b c d 6. Reading bar graphs and charts E.1562 At the start of the 2003 school year, there were: Students at age: without having ever repeated a year Students who have repeated a year Students who have repeated two or more years Students who are ahead of schedule The graph below represents, at the start of the 2003 school year, these different ˇ classes ı of students (pay attention to the units) : 1 How many students came of age this fall? 2 In total, how many students have already repeated a grade this fall? 3 How many students are ahead of schedule? E.1559 The Auvergne region comprises four départements : Allier, Cantal, Puy-de-Dôme, Haute-Loire. The number of communes in these departments is shown in this bar chart. 1 Which département has the greatest number of com-munes? Specify the number of communes. 2 Two departments have approximately the same number of communes. Which ones? How many communes do they both have? 3 What is the total number of communes in the Auvergne region? https://chingmath.fr chapExoCorrec/5593 sacados/5593 0232 01 01 012 chapExoCorrec/1562 sacados/1562 Nombre d’élèves(dizaine de milliers)1020304050EnavanceAl’âgeEnretardd’unanEnretardde2ansetplus chapExoCorrec/1559 sacados/1559 Centaines de communes12345AllierCantalPuy-de-dômeHaute-Loire
CyclomotoristesUsagersdevoituresdetourismeMotocyclistesNombre de personnes5001000150020002500300012ans13ans14ans15ans16ans17ans18ans19ans 8910111213141501234567NotesE∑ectifs 01234567100200300400500Durée(en h)Distance parcourue(en km) E.3754 The bar chart below shows the num-ber of road accident victims in 2003 in France : 1 Among passenger car users, how many of those involved in accidents are 18 years old? 2 At what age is the greatest number of moped riders in-jured? How many crashes does this represent? 3 At what ages is the number of moped riders injured greater than 1 500 people? Same question for passenger car users. 4 How many passenger car users between 17 years old and 19 years old were injured? 7. Construction of bar graphs E.1560 The following table shows coal con-sumption in France (in thousands of tons) Year 1979 2000 2001 2002 Production 52 22 18 20 Construct the bar graph by taking for the scale : 1 centimeter will represent 10 thousand tons of coal con-sumed E.11087 The grades obtained in a math test by students in a class of 6 e give the following statistical series : 14 - 9 - 10 - 14 - 10 - 12 - 14 - 8 - 12 9 - 14 - 14 - 15 - 9 - 14 - 15 - 9 - 11 14 - 9 - 13 - 8 - 11 - 13 - 12 1 Complete the table below : Grade 8 9 10 11 12 13 14 15 Number of students 2 Complete the bar chart below : 8. Reading a Cartesian graph E.2222 The following diagram shows the distance recorded on the speedometer of a motorist’s car as the journey progresses : https://chingmath.fr chapExoCorrec/3754 sacados/3754 CyclomotoristesUsagersdevoituresdetourismeMotocyclistesNombre de personnes5001000150020002500300012ans13ans14ans15ans16ans17ans18ans19ans chapExoCorrec/1560 sacados/1560 chapExoCorrec/11087 sacados/11087 8910111213141501234567NotesE∑ectifs chapExoCorrec/2222 sacados/2222 01234567100200300400500Durée(en h)Distance parcourue(en km)
Contrôle numéro0123456789101112Note2468101214161820 Bleu32%Rouge27%Jaune15%Vert13%Rose13% 1 How far has the motorist travelled after 1 h ? 4 h ? 7 h ? 2 After how long has this motorist driven 150 km ? and 400 km ? 3 During his journey, he took a break. How long did he rest? E.11085 On the graph below, we have plot-ted Mathieu’s results in mathematics throughout the school year. 1 How many math assessments has Mathieu had this school year? 2 What was Mathieu’s minimum grade? maximum grade? 3 How many math grades did he get above or equal to 12? 9. Reading pie charts E.5594 A survey of sixth graders in one school yielded the following results as a percentage of all re-spondents : 1 What percentage of students have red as their favorite color? 2 What is the most chosen color by these students? https://chingmath.fr chapExoCorrec/11085 sacados/11085 Contrôle numéro0123456789101112Note2468101214161820 chapExoCorrec/5594 sacados/5594 Bleu32%Rouge27%Jaune15%Vert13%Rose13%