ISEE Lower Level Quantitative : Data Analysis and Probability

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #12 : How To Identify The Parts Of A List

Find the mode of the following number set:

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears the most amount of times within the set. Thus, the correct answer is --which is the only number that appears twice. 

Example Question #13 : Sets

David works as an attorney. The following number set represents the amount of hours that he worked each of the last five days. 

 

Find the median number of hours that David worked last week. 

Possible Answers:

Correct answer:

Explanation:

To find the median number of hours David worked, arrange the number set in ascending or descending order. The median is the middle number.

 Thus, the solution is:





Median = 

Example Question #11 : Sets

Recently, Antonio has been keeping a record of how many hours that he sleeps per night. The following sequence of numbers is the amount of hours Antonio has slept during each of the last seven nights.



What is the mean number of hours that Antonio slept per night?

Possible Answers:

Correct answer:

Explanation:

To calculate the mean number of hours that Antonio slept per night, first find the total number of hours he slept during the past seven nights. Then divide the sum total by the number of nights in a week. 

Thus, the solution is: 



Example Question #61 : Data Analysis And Probability

Carra enjoys writing computer code. She has kept a journal to log how many hours that she has coded. According to her records, during each of the past three years she has coded  hours,  hours and  hours, respectively. 

What is the average amount of time that Carra coded per year? 

Possible Answers:

 hours

 hours

 hours

 hours

Correct answer:

 hours

Explanation:

To find the average number of hours that Carra coded per year, find the total number of hours that she coded. Then divide the sum total by the number of years that she has logged her coding hours. 

Thus, the solution is:

Example Question #13 : How To Identify The Parts Of A List

Find the range of the following number sequence:

Possible Answers:

Correct answer:

Explanation:

To find the range of the number sequence, find the difference between the largest and smallest numbers. Therefore, 

Example Question #62 : Data Analysis And Probability

Kayla has guitar practice several times per week. On separate days, she practiced for  hours,  hours,  hours and  hours.

Find the average number of hours that Kayla practiced guitar per day.

Possible Answers:

Correct answer:

Explanation:

To calculate the average amount of time that Kayla practiced guitar per day, find the total number of hours that Kayla practiced. Then divide the total number of hours she practiced by the total number of days that she practiced guitar.

Thus, the solution is:

 

Example Question #14 : Sets

What is the next number in the series?

Possible Answers:

Correct answer:

Explanation:

First, determine what the pattern is in the series. The pattern here is to multiply the previous number by 2 and then add 1. Therefore, multiply 47 by 2 (which is 94), and then add 1. The result is 95.

Example Question #63 : Data Analysis And Probability

What is the missing value of w in this sequence?

Possible Answers:

Correct answer:

Explanation:

In this sequence, every subsequent number is 7 less than the preceding number. Given that the number that precedes w is 71, the value of w is . Therefore, 64 is the correct answer. 

Example Question #64 : Data Analysis And Probability

What is the value of n in the sequence below?

Possible Answers:

Correct answer:

Explanation:

The numbers increase by 5. Given that the number before n is 20, the value of n is .

Example Question #65 : Data Analysis And Probability

What is the next term in the following sequence?

Possible Answers:

Correct answer:

Explanation:

What is the next term in the following sequence?

This is an arithmetic sequence with a common difference of . To find the next term in an arithmetic sequence, add the common difference to the previously listed term:

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