Maine MTA High School (grade 10) Statistics and Probability. Practice it free.

Four data sets record the number of pages read in four or five sessions. Which set has the least standard deviation?

Set A: $4, 8, 12, 16$
Set B: $6, 8, 10, 12, 14$
Set C: $7, 8, 9, 10, 11$
Set D: $2, 6, 10, 14, 18$

The ages, in years, of seven students are $10\textsf{,}$ $16\textsf{,}$ $14\textsf{,}$ $8\textsf{,}$ $13\textsf{,}$ $15\textsf{,}$ and $8\textsf{.}$ Which data set has the same mean?

Seven game scores are $90\textsf{,}$ $70\textsf{,}$ $82\textsf{,}$ $75\textsf{,}$ $95\textsf{,}$ $60\textsf{,}$ and $88\textsf{.}$ Which data set has the same median?

From a table, 5 are members who renew AND are premium and 12 total are premium members. Find the conditional probability of renewing given premium (simplified fraction).

A prize drawing awards $\text{\char36}20$, $\text{\char36}10$, or nothing. Winning $\text{\char36}20$ is equally likely as winning $\text{\char36}10$, and winning nothing is $3$ times as likely as winning $\text{\char36}10$. What is the expected value of the prize?

At trivia night, a team answered $6$, $8$, $7$, and $9$ questions correctly in the first four rounds. In the fifth round, the team answered $x$ questions correctly. The mean number of correct answers per round is $8$. What is the value of $x$?

A histogram has bins 0-9: 4 values, 10-19: 7 values, 20-29: 5 values. How many data values are there in all?

A PE class uses a spinner with $3$ equal sections to assign stations: Strength, Cardio, and Flexibility. After $300$ spins, the results were:

| Station | Spins |
| :-- | --: |
| Strength | $145$ |
| Cardio | $88$ |
| Flexibility | $67$ |

Which change would most likely make the spinner fair?