Mean, Median, and Mode — Probability & Statistics Practice Worksheet

Grades 6–8 Easy difficulty 10 problems

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.

Skills practiced

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

Name: Date: Period:

Practice Worksheet: Mean, Median, and Mode

Instructions: Solve each problem carefully. Show all work clearly. Write your final answer in the space provided or on a separate sheet as directed.

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

Mean, Median, and Mode — Practice Worksheet (continued)

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 — Practice Worksheet (continued)

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 — Practice Worksheet (continued)

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 — Practice Worksheet (continued)

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 — Practice Worksheet (continued)

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.

Answer Key

1.

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

Final answer: 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: $5$

Final answer: 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: $85$

Final answer: 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: $12$

Final answer: Mean: $15$ , Median: $14$ , Mode: $12$

Answer Key (continued)

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: $5$

Final answer: 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: $22$

Final answer: 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: $104$

Final answer: 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)

Final answer: 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: $2$

Final answer: Mean: $2.1$ , Median: $2$ , Mode: $2$

Answer Key (continued)

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: $68$

Final answer: Mean: $70.7$ , Median: $70$ , Mode: $68$

Common mistakes to avoid

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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