Mean, Median, and Mode — Fiche d'exercices de Probability & Statistics

Grades 6–8 Difficulté facile 10 problèmes

Measures of center describe the "typical" value in a data set. The mean (average) is the sum divided by the count. The median is the middle value when data is ordered. The mode is the most frequent value.

The range (max $-$ min) measures spread, not center. When data has outliers, the median is often more representative than the mean — consider housing prices or income data.

For an even number of values, the median is the average of the two middle values. A data set can have no mode, one mode, or multiple modes.

Compétences travaillées

Calculating mean, median, and mode
Finding range
Choosing the best measure of center
Interpreting data in context

Nom : Date : Période :

Fiche d'exercices : Mean, Median, and Mode

Consignes : Résous chaque problème avec soin. Montre clairement tout ton travail. Écris ta réponse finale dans l'espace prévu ou sur une feuille séparée comme indiqué.

1.Find the mean, median, and mode of the following data set: $4, 7, 8, 8, 10, 12, 15$

Mean, Median, and Mode — Fiche d'exercices (suite)

2.Find the mean, median, and mode of the following data set: $2, 3, 5, 5, 5, 9, 11, 13$
3.The test scores for a class of 8 students are: $72, 85, 91, 85, 68, 74, 85, 90$ Find the mean, median, and mode of these scores.

Mean, Median, and Mode — Fiche d'exercices (suite)

4.A basketball player scored the following points in 6 games: $12, 15, 20, 12, 18, 13$ Find the mean, median, and mode.
5.Find the mean, median, and mode of the following data set: $1, 1, 2, 3, 4, 5, 5, 5, 6, 7$

Mean, Median, and Mode — Fiche d'exercices (suite)

6.The ages (in years) of 7 people in a room are: $22, 25, 22, 30, 22, 28, 35$ Find the mean, median, and mode.
7.Find the mean, median, and mode of the following data set: $100, 102, 104, 104, 106, 108, 110$

Mean, Median, and Mode — Fiche d'exercices (suite)

8.The number of books read by 5 students over summer break: $3, 7, 2, 8, 5$ Find the mean, median, and mode.
9.Find the mean, median, and mode of the following data set: $0, 0, 1, 2, 2, 2, 3, 4, 5$

Mean, Median, and Mode — Fiche d'exercices (suite)

10.The daily high temperatures (in $^\circ$ F) for one week were: $68, 72, 75, 68, 70, 74, 68$ Find the mean, median, and mode.

Corrigé

1.

Mean: $\frac{4+7+8+8+10+12+15}{7} = \frac{64}{7} \approx 9.1$ ; Median: $8$ (4th value); Mode: $8$

Réponse finale : Mean: $9.1$ , Median: $8$ , Mode: $8$
2.

Mean: $\frac{2+3+5+5+5+9+11+13}{8} = \frac{53}{8} = 6.625 \approx 6.6$ ; Median: $\frac{5+5}{2} = 5$ ; Mode: $5$

Réponse finale : Mean: $6.6$ , Median: $5$ , Mode: $5$
3.

Data: $68, 72, 74, 85, 85, 85, 90, 91$ (sorted); Mean: $\frac{72+85+91+85+68+74+85+90}{8} = \frac{650}{8} = 81.25 \approx 81.3$ ; Median: $\frac{85+85}{2} = 85$ ; Mode: $85$

Réponse finale : Mean: $81.3$ , Median: $85$ , Mode: $85$
4.

Data: $12, 12, 13, 15, 18, 20$ (sorted); Mean: $\frac{12+15+20+12+18+13}{6} = \frac{90}{6} = 15$ ; Median: $\frac{13+15}{2} = 14$ ; Mode: $12$

Réponse finale : Mean: $15$ , Median: $14$ , Mode: $12$

Corrigé (suite)

5.

Mean: $\frac{1+1+2+3+4+5+5+5+6+7}{10} = \frac{39}{10} = 3.9$ ; Median: $\frac{4+5}{2} = 4.5$ ; Mode: $5$

Réponse finale : Mean: $3.9$ , Median: $4.5$ , Mode: $5$
6.

Data: $22, 22, 22, 25, 28, 30, 35$ (sorted); Mean: $\frac{22+25+22+30+22+28+35}{7} = \frac{184}{7} \approx 26.3$ ; Median: $25$ (4th value); Mode: $22$

Réponse finale : Mean: $26.3$ , Median: $25$ , Mode: $22$
7.

Mean: $\frac{100+102+104+104+106+108+110}{7} = \frac{734}{7} \approx 104.9$ ; Median: $104$ (4th value); Mode: $104$

Réponse finale : Mean: $104.9$ , Median: $104$ , Mode: $104$
8.

Data: $2, 3, 5, 7, 8$ (sorted); Mean: $\frac{3+7+2+8+5}{5} = \frac{25}{5} = 5$ ; Median: $5$ (3rd value); Mode: No mode (all values appear once)

Réponse finale : Mean: $5$ , Median: $5$ , Mode: No mode
9.

Mean: $\frac{0+0+1+2+2+2+3+4+5}{9} = \frac{19}{9} \approx 2.1$ ; Median: $2$ (5th value); Mode: $2$

Réponse finale : Mean: $2.1$ , Median: $2$ , Mode: $2$

Corrigé (suite)

10.

Data: $68, 68, 68, 70, 72, 74, 75$ (sorted); Mean: $\frac{68+72+75+68+70+74+68}{7} = \frac{495}{7} \approx 70.7$ ; Median: $70$ (4th value); Mode: $68$

Réponse finale : Mean: $70.7$ , Median: $70$ , Mode: $68$

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Erreurs fréquentes à éviter

Forgetting to order data before finding the median
Confusing mean with median
Reporting mode when no value repeats
Including the wrong count when calculating mean

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