Take this Quiz: SAT Math — mean, median and spread, and what moves them | Zestly

Question 1

Sarah's five test scores were $82$, $95$, $78$, $88$ and $92$. What is the median of her scores?

Accepted Answer

$88$

Answer

$78$

Answer

$82$

Answer

$92$

Question 2

A data set consists of the values $5$, $5$, $10$, $10$ and $20$. A new value of $100$ is then added to it. Which statement about the mean and the median is true?

Accepted Answer

The mean rises far more than the median does.

Answer

The median rises far more than the mean does.

Answer

Neither the mean nor the median changes.

Answer

The mean is unchanged while the median rises.

Question 3

Two groups took the same quiz. Group A scored $70$, $70$, $70$ and $70$. Group B scored $60$, $65$, $75$ and $80$. Both groups average $70$. Which group has the greater standard deviation?

Accepted Answer

Group B

Answer

They are equal

Answer

It cannot be determined

Answer

Group A

Question 4

In a survey of households, two households had no pets, five had one pet, and three had two pets. What is the median number of pets per household?

Answer

$1.5$

Answer

$2$

Answer

$0$

Answer

$1$

Question 5

A data set has a range of $50$. Which of the following must be true of the set?

Answer

It contains at least one value greater than $50$.

Answer

Its largest value exceeds its smallest by $50$.

Answer

Its mean is $25$.

Answer

Its median is $25$.

Question 6

The mean of a set of $10$ numbers is $20$. The nine numbers other than one of them add up to $175$. What is the remaining number?

Answer

$25$

Answer

$20$

Answer

$15$

Answer

$10$