Let's solve each problem step by step to find the
average for each set of data. The formula for the average (mean) is:
$$
\text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}}
$$
---
1. Science Test Scores
Scores: 89, 90, 95, 72, 83, 100, 94
- Sum = 89 + 90 + 95 + 72 + 83 + 100 + 94
= 89 + 90 = 179
179 + 95 = 274
274 + 72 = 346
346 + 83 = 429
429 + 100 = 529
529 + 94 =
623
- Number of scores = 7
- Average = $ \frac{623}{7} = 89 $
✔ Answer: 89
---
2. Average Miles Driven
Miles: 345, 279, 583, 404, 556, 702, 636
- Sum = 345 + 279 = 624
624 + 583 = 1207
1207 + 404 = 1611
1611 + 556 = 2167
2167 + 702 = 2869
2869 + 636 =
3505
- Number of trips = 7
- Average = $ \frac{3505}{7} = 500.714... $
Round to nearest whole number:
501
✔ Answer: 501 miles
---
3. Average DVD Price
Prices: $24.65, $20.99, $25.59, $26.90, $27.10, $22.36
- Sum =
24.65 + 20.99 = 45.64
45.64 + 25.59 = 71.23
71.23 + 26.90 = 98.13
98.13 + 27.10 = 125.23
125.23 + 22.36 =
147.59
- Number of DVDs = 6
- Average = $ \frac{147.59}{6} = 24.5983... $
Round to nearest cent:
$24.60
✔ Answer: $24.60
---
4. Average Daily Temperature
Temperatures: 78°, 82°, 85°, 74°, 98°, 90°, 80°, 62°, 71°, 91°
- Sum =
78 + 82 = 160
160 + 85 = 245
245 + 74 = 319
319 + 98 = 417
417 + 90 = 507
507 + 80 = 587
587 + 62 = 649
649 + 71 = 720
720 + 91 =
811
- Number of days = 10
- Average = $ \frac{811}{10} = 81.1^\circ F $
✔ Answer: 81.1°F
---
5. Average Weight of Shipping Containers
Weights: 45,824 lbs; 56,189 lbs; 71,291 lbs; 30,219 lbs; 89,331 lbs
- Sum =
45,824 + 56,189 = 102,013
102,013 + 71,291 = 173,304
173,304 + 30,219 = 203,523
203,523 + 89,331 =
292,854
- Number of containers = 5
- Average = $ \frac{292,854}{5} = 58,570.8 $
Round to nearest pound:
58,571 lbs
✔ Answer: 58,571 lbs
---
6. Average Number of Marquee Lights
Lights: a. 7,465; b. 9,556; c. 7,120; d. 10,229; e. 8,089
- Sum =
7,465 + 9,556 = 17,021
17,021 + 7,120 = 24,141
24,141 + 10,229 = 34,370
34,370 + 8,089 =
42,459
- Number of venues = 5
- Average = $ \frac{42,459}{5} = 8,491.8 $
Round to nearest whole number:
8,492
✔ Answer: 8,492
---
✔ Final Answers:
1.
89
2.
501
3.
$24.60
4.
81.1°F
5.
58,571 lbs
6.
8,492
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of averages worksheet.
