ISEE Lower Level Math : Data Analysis and Probability
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Example Questions
Example Question #51 : Sets
Beth has been keeping track of the lowest temperatures reached each day for the past week. The lowest temperatures, in degrees Farenheit, are:
What is the mode?
The mode is the number that occurs most often in a set.
In this set, the temperature of 56 degrees occurs the most often (three times).
Example Question #26 : How To Identify The Parts Of A List
Jennifer sells textbooks online. She has sold books for the following prices:
What is the median price at which she sells books?
The median is the number that is in the middle of a set when organized from smallest to largest.
To find the median of the set, first organize the numbers from smallest to largest.
The middle number is 21, which makes it the median.
Example Question #52 : Sets
What is the median of set below?
In order to find the median of a set, the numbers must be ordered from smallest to largest. The median is thus the middle number.
Given that the middle number is 3.2, that is the correct answer.
Example Question #53 : Sets
What is the mode of the set below?
The mode is the number that occurs most often in a set. Given that the number 5 appears more often than any other number in the set, it is the mode.
Example Question #29 : How To Identify The Parts Of A List
During a basketball game, 3 of the players on a team make 4 baskets each, while the other 2 players only make 1 basket each. What is the mean number of baskets that each player made during the game?
The mean is calculated by finding the sum of the numbers in a set, and then dividing that sum by the number of items in the set. Given that 3 of the players made 4 baskets each, while the other 2 players only made only 1 basket each, the equation for finding the mean would look like this (there are 5 players on the team, and so there are 5 items in the set):
Example Question #54 : Sets
What is the mode of the set below?
The mode is the number that appears the most in a set. Given that the number 6 appears 4 times, it the most common number in the set. Therefore, the mode is 6.
Example Question #55 : Sets
What is the median of the list below?
The median is the middle number of a set when the numbers are ordered from smallest to largest.
The reorganized version of the set, with the numbers ordered from smallest to largest is:
Given that the 2 middle numbers are 4, the median is 4. When 2 numbers are both in the middle, the average must be taken. The average of 4 and 4 is 4.
Example Question #56 : Sets
If Beth is 12 years old, Bob is 14 years old, Jeremy is 15 years old, and Lisa is 7 years old, what is their mean age?
Add up the ages and divide by the number of people:
Therefore, 12 is the mean.
Example Question #57 : Sets
A store is selling bags of apples that are 5 pounds each, but the number of apples per bag varies. The bags contain the following number of appes:
What is the mode?
The mode is the number that occurs most often in a set.
Given that 7 appears three times, more than any other number, it is the mode.
Example Question #58 : Sets
On a quiz with only one question, 4 students failed (meaning they got a score of 0), and 5 students passed (meaning they got a score of 1). What is the median score?
None of these
Given that 4 students got a score of 0 and 5 got a score of 1, the scores would look like this when put into a set:
The median is the middle number in a sequentially organized set. The middle number in this set is 1, making it the median.
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