Interpreting Data and Making Predictions

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Show your work for each problem.

1.
A store had 50 customers on Monday, 65 on Tuesday, and 80 on Wednesday. What type of trend does this show?
1. a)Decreasing trend
2. b)Increasing trend
3. c)No trend (constant)
4. d)Unpredictable pattern
2.
A plant's height was recorded each week: Week 1: 4 cm, Week 2: 7 cm, Week 3: 10 cm. By how many centimeters does the plant grow each week?
3.
Ice cream sales and swimming pool attendance both increase during summer. This is an example of:
1. a)A decreasing trend
2. b)Correlation without causation
3. c)Swimming causing ice cream sales
4. d)Ice cream causing swimming
4.
A baker sold 20 loaves on Monday, 25 on Tuesday, and 30 on Wednesday. How many loaves should they predict for Thursday if the pattern continues?
5.
A student's test scores are: 82, 85, 79, 88, 91. The score of 79 is much lower than the others. What should we call this score?
1. a)A trend
2. b)A correlation
3. c)An outlier
4. d)A prediction
6.
A company's monthly profits were: January 12000, February 15000, March 18000, April 21000. What would you predict for May if the pattern continues? Enter only the number.
7.
Calculate the average (mean) of these daily temperatures: 18, 22, 20, 24, 16 degrees Celsius.
8.
A scientist has only 2 data points and wants to make a prediction. Why might this be unreliable?
1. a)Predictions don't need patterns
2. b)Two points always give perfect predictions
3. c)The sample size is too small to establish a reliable pattern
4. d)More data would make it less accurate
9.
A café tracked coffee sales: Mon 80, Tue 95, Wed 110, Thu 125. What is the range of these sales, and what do you predict for Friday?
10.
Alex's grades: 70, 75, 80, 85. Jordan's grades: 90, 88, 86, 84. If these trends continue for two more tests, who will have the higher score on Test 6?
1. a)Alex (95) vs Jordan (80)
2. b)They will tie at 85
3. c)Alex (90) vs Jordan (82)
4. d)Jordan will still be higher
11.
A runner's lap times (in seconds) were: 65, 62, 59, 56. What would be the predicted time for the 6th lap if the pattern continues?
12.
A store's weekly sales were: Week 1: 200, Week 2: 240, Week 3: 280, Week 4: 320. Calculate the average weekly sales and predict Week 6 sales.
13.
A weather app predicts it will be 25 degrees Celsius tomorrow based on a pattern. The actual temperature could be different because:
1. a)Patterns always give exact predictions
2. b)Weather conditions can change unexpectedly
3. c)Apps always predict incorrectly
4. d)Temperature never changes
14.
Two teams tracked their points over 4 games. Team A: 45, 50, 55, 60. Team B: 70, 65, 60, 55. After which game does Team A first lead Team B?
15.
A data set has values: 8, 12, 15, 21, 4. What is the range of this data? (Highest minus lowest)
16.
A farmer counts eggs each day: Mon 12, Tue 15, Wed 18, Thu 21. If the pattern continues, how many total eggs will there be from Monday through Friday?