SSAT Middle Level Math : Data Analysis and Probability
Study concepts, example questions & explanations for SSAT Middle Level Math
All SSAT Middle Level Math Resources
Example Questions
Example Question #83 : Data Analysis
Find the median of this set of numbers:
Example Question #84 : Data Analysis
Find the mean of this set of numbers:
Then divide by the number of elements in the set:
Answer:
Example Question #103 : Data Analysis And Probability
Find the mean of this set of numbers:
The mean is the average.
First, add up all of the numbers in the set:
Then, divide by the number of elements in the set:
Answer:
Example Question #85 : Data Analysis
Solve using the distributive property:
Multiply each number in parentheses by 3:
Then add them together:
Answer:
Example Question #86 : Data Analysis
What is the mean of the given set?
The mean of the set can be found by adding together all the numbers, and then dividing by the number of items in the set.
Example Question #87 : Data Analysis
Find the mean of this set of numbers:
First add up all of the numbers in the set:
Then divide by the number of elements in the set:
Answer:
Example Question #107 : Data Analysis And Probability
In Ms. Olson's class, there were 5 students who took an exam, earning a mean score of 86. Jacob then took the exam as well, earning a score of 91. What is the new mean?
The mean is found by adding the scores together, and then dividing by the number of items.
Example Question #91 : Data Analysis
In Maria's family, her parents are both 45 years old, and her younger brother is 2 years younger than she is. What is the mean of their ages, if Maria is 5 years old?
The mean of a set is found by finding the sum of the set and then dividing by the number of items in the set. Given that both of her parents are 45 years old, that Maria is 5 years old, and that her brother is 3 years old (being 2 years younger than she is), the mean is calculated using this equation:
Example Question #465 : Data Analysis And Probability
The substitute teacher gave her class a quiz. Initially, she believed that there were 15 students in her class who scored an average of 7 out of 10. However, she later realized that there was a 16th student in the class who simply refused to take the quiz, and thereby got a score of 0. What is the average quiz score (to the nearest hundredth), when considering this 16th student?
If 15 students got an average score of 7, and 1 student got a score of 0, the average score of the 16 students can be found with this equation:
Example Question #91 : Data Analysis
A student wishes to receive an average score of 92 percent in his history class. His grade consists of five test scores, the first four of which he received the following grades: 86, 97, 95, and 89. On the last test he receives an 88. Is this score enough to have the desired average in the class (assuming no rounding)? If no, then what score did he need?
No, he needs a 93 to have an average score of 92.
No, he needs a 92 to have an average score of 92.
Yes, this score will give him an average of 92.
No, he needs a 99 to have an average score of 92.
No, he needs a 89 to have an average score of 92.
No, he needs a 93 to have an average score of 92.
The question asks to find the average score of the five tests taken and to compare it to the desired average of 92 percent. To find the average, add all five scores then divide by five.
His test score of 88 will give him a class average of 91, not 92. To determine what score he needs, take the final test score to be the variable x, and use the average equation again, this time using the desired average of 92. Solve for x.
Therefore, the score he must receive to average a 92, without rounding, is a 93.
Certified Tutor
Certified Tutor
All SSAT Middle Level Math Resources
