7.SP Tutor Intake — Statistics and Probability

A researcher wants to learn about the study habits of all high
school students in the United States. She surveys 500 randomly
selected students from schools across the country. The 500 students
are the   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

A school wants to know which lunch option students prefer. Which
sampling method is most likely to produce a biased result?

Two dot plots show test scores for Class A and Class B. Class A
has scores ranging from 70 to 90, and Class B has scores ranging
from 75 to 95. Which statement about the distributions is most
accurate?

A data set has one extreme outlier that is much larger than all
other values. Which measure of center should you use to represent
a typical value in this data set?

Which of the following could be a valid probability for an event?

A spinner has 4 sections. A student assigns the following
probabilities: section 1 = 0.3, section 2 = 0.4, section 3 = 0.2,
section 4 = 0.2. Is this a valid probability model?

Find the Mean Absolute Deviation (MAD) for the data set:
$\{4, 7, 8, 10, 11\}$.

First find the mean, then compute each absolute deviation from the
mean, then average the absolute deviations. Enter the MAD as a
decimal or fraction.

Class A has a mean score of 78 and Class B has a mean score of 84.
The MAD for both classes is 4 points. How many times the MAD is
the difference between the means? Enter a number.

Find the IQR (Interquartile Range) for this ordered data set:
$\{3, 5, 7, 9, 11, 13, 15\}$.

The IQR is $Q_3 - Q_1$. Enter a number.

A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles.
One marble is drawn at random. What is the experimental probability
of drawing a blue marble? Enter a fraction or decimal.

A fair six-sided die is rolled. Using a uniform probability model,
what is the probability of rolling a number greater than 4? Enter
a fraction.

A student flips a coin and rolls a number cube (1–6). How many
outcomes are in the sample space for this compound event?

A student rolls a fair die 60 times and gets a 3 on 14 occasions.
The theoretical probability of rolling a 3 is $1/6 \approx 0.167$.
The experimental probability is $14/60 \approx 0.233$. Which
statement best explains the discrepancy?

A bag has 4 red chips and 6 blue chips. You draw one chip, note its
color, put it back, then draw again. What is the probability that
both draws are red? Enter a fraction or decimal.