Measures of Center, Spread, and Position

Test Scores

100

Quiz scores: [72, 85, 90, 88, 75, 80, 95, 100]

Find the mean.

85.6

200

Test scores: [65, 70, 82, 90, 75, 88, 92, 100, 85]

Find the median.

85

300

Class grades: [70, 75, 80, 85, 85, 90, 95, 100, 85, 88]

Find the mode.

85

400

Final exam scores: [55, 60, 65, 70, 75, 80, 85, 100, 95, 90]

Find the median and mean.

Median=77.5

Mean=77.5

500

Homework scores: [10, 8, 9, 10, 7, 6, 9, 10, 5, 10]

Find the five-number summary.

Min=5, Q1=7, Median=9, Q3=10, Max=10

Sports Stats

100

A basketball player’s points in 8 games: [15, 20, 18, 25, 22, 19, 30, 24]

Find the range.

15

200

A runner’s race times in minutes: [12, 15, 14, 13, 16, 18, 17, 14]

Find the mean.

14.9

300

Baseball hits per game: [2, 3, 4, 1, 5, 3, 4, 3, 2, 3]

Find the mode.

3

400

A swimmer’s lap times in seconds: [58, 60, 62, 64, 59, 61, 63, 65]

Find the median and range.

Median=61.5

Range=7

500

A football kicker’s field goals made: [20, 25, 22, 30, 28, 35, 27, 26, 29, 24]

Find the five-number summary.

Min=20, Q1=24, Median=26.5, Q3=29, Max=35

Daily Life Data

100

Hours of sleep: [6, 7, 8, 7, 5, 9, 6, 8, 7, 6]

Find the mean.

6.9

200

Number of texts sent in one day: [50, 60, 55, 70, 65, 80, 75, 55, 60, 62]

Find the median.

61

300

Minutes spent on social media: [120, 140, 160, 150, 130, 170, 160, 150]

Find the mode.

150 & 160

400

Coffee shop prices ($): [3, 4, 5, 6, 4, 7, 8, 5, 6, 5]. 

Find the mean and median.

Mean=5.3

Median=5

500

Weights of backpacks (lbs): [12, 15, 14, 18, 20, 17, 16, 15, 14, 19]

Find the five-number summary.

Min=12, Q1=14, Median=15.5, Q3=18, Max=20

IQR & Outliers

100

Ages of kids in a class: [5, 6, 5, 7, 8, 6, 7, 9]

Find the IQR.

2

200

Weekly allowance ($): [5, 10, 8, 12, 7, 9, 15, 11, 10, 8]

Find the IQR.

3

300

Daily steps: [4000, 5000, 6000, 5500, 7000, 6500, 8000, 9000, 10000]

Find the IQR.

3250

400

Test scores: [50, 55, 60, 62, 65, 68, 70, 72, 75, 100]

Find IQR and check for outliers.

IQR=12

Fences: 42, 90

100 is outlier

500

Cell phone data use (GB): [2, 3, 4, 5, 3, 4, 2, 50]

Find IQR and determine outliers.

IQR=2

Upper fence=7.5

50 is outlier

Mixed Problems

100

Scores on a video game: [200, 220, 210, 230, 240, 210, 200, 250]

Find the mean and mode.

Mean=220

Mode=200 & 210

200

Shoe sizes of a team: [7, 8, 9, 8, 10, 11, 9, 8, 12, 9]

Find the median and range.

Median=9

Range=5

300

Calories eaten at lunch: [600, 700, 650, 800, 750, 700, 900, 850, 650, 720]

Find the IQR.

150

400

Gas prices: [3.25, 3.40, 3.50, 3.60, 3.30, 3.45, 3.55, 3.35, 3.50, 3.65]

Find the five-number summary.

Min=3.25, Q1=3.35, Median=3.48, Q3=3.55, Max=3.65

500

Students’ shoe counts at home: [5, 6, 7, 6, 8, 9, 10, 12, 15, 30]

Find the IQR and outlier(s).

IQR=6

Fences=-3, 21

30 is outlier