Fiveable
📊AP Statistics
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📊AP Statistics

FRQ 2 – Multi-Focus on Practices 3 and 4
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Unit 1: Exploring One-Variable Data and Collecting Data
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AP Stats FRQ Types & Units

Each FRQ type tests specific skills taught in particular units. Here's why certain units appear for each question type:

FRQFocusUnitsWhy
FRQ 1Multi-Focus on Practices 1 and 21Tests formulating an investigative question and collecting data (sampling, experimental design)
FRQ 2Multi-Focus on Practices 3 and 41, 2, 5Tests analyzing data and interpreting results — graphs, summary statistics, probability, regression output
FRQ 3Inference3, 4One complete inference procedure — a hypothesis test or confidence interval for proportions or means
FRQ 4Multi-Focus on Practices 2, 3, and 4AllCombines content areas across the course, assessing collecting, analyzing, and interpreting together

This mapping reflects College Board's exam structure - each FRQ type tests specific skills that are taught in particular units.

Practice FRQ 1 of 101/10

2. An oceanography research institute is monitoring sea surface temperatures at a large coral reef system to study conditions that lead to coral bleaching.

nnn

Mean

StDev

Min

Q1Q_1Q1​

Median

Q3Q_3Q3​

Max

45

29.8

1.4

26.5

28.2

29.4

31.1

35.8

A.

The institute originally considered placing a single temperature sensor near the shallowest part of the reef and recording the temperature at noon every day for 45 days. Identify a potential source of bias with this sampling method and explain how it could affect the estimate of the true mean daily maximum sea surface temperature for the entire reef.

B.

Instead of a single sensor, the institute randomly selected 45 different locations across the entire reef system and recorded the maximum sea surface temperature (in ∘C^\circ\text{C}∘C) at each location on a specific mid-summer day. The summary statistics for this sample are shown in Table 1.

Determine if there are any outliers in this sample using the 1.5×IQR1.5 × \text{IQR}1.5×IQR rule. Justify your answer with appropriate calculations.

C.

Interpret the standard deviation of 1.4∘C1.4^\circ\text{C}1.4∘C in the context of this study.

D.

The institute will issue a "Coral Bleaching Warning" if the sample data provide evidence that 25 percent or more of the reef locations experienced a maximum temperature of 31.0∘C31.0^\circ\text{C}31.0∘C or higher. Based on the summary statistics in Table 1, will the institute issue the warning? Justify your answer.

Timed

00:00

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Free Response Question Practice

This practice environment simulates the AP AP Statistics Free Response Questions section. Here are some guidelines:

  • Read each question carefully before responding. Pay attention to command verbs like "identify," "explain," "analyze," or "evaluate."
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