Data Analysis and Probability - ISEE Lower Level Quantitative Reasoning

The pattern here is to subtract 8 from the previous number.

Subtract 8 from 12 to get 4 as the value of .

The set is made up of only even numbers that are below . The only missing even number that is less than from this set would be .

Since a die has six sides, all of the possible outcomes are through .

Since is the only value in that range missing from the set, .

A factor is a number that is multiplied by another to get another value.

To get you may multiply

and also

.

With that in mind, that answer must be .

When finding the missing part of a set, we must first look at the relationship each number has within the set. So, looking at the set

we will look at the numbers in the set. We can see the first three numbers are 2, 4, and 6. How are these numbers related? We can see that from one number to the next, we are adding 2 (if we add 2 to 2, we get 4; if we add 2 to 4 we get 6). Let's look at the last two numbers, 10 and 12. Does that same relationship work? Yes, we are again adding 2 to 10 and we get 12.

So, to find the missing number in the , we will simply add 2 to the number before it. So,

Therefore, the missing number in the set is .

In order to find the mode of a set of data, we must find the number that occurs the most often. In this set, appears three times, making it the most common number in the data set, so it is the mode.

The median of a set of data is the number that is physically in the middle of that data set when it is displayed in order from smallest to largest. In order to find the median of this data, we must first put it in order of smallest to largest.

Next we determine how many students there are by adding together how many students reported having each number of siblings.

Since seventeen is an odd number, one number will represent the median, and that number will be the 9th number in the sequence. We know this because the 9th number has eight on either side of it, putting it exactly in the middle of the data.

In our sequence, the 9th number is , making the median of our data .

In order to find the range, we must find the difference between the largest number in the data and the smallest number in the data. The easier way to locate the smallest and largest numbers in the data is to put them in order of smallest to largest.

By doing this we can see that 72 is our largest number and 4 is our smallest number. Now we find the difference between these two numbers using subtraction.

The mode is defined as the MOST in appearance. In the pack of rubber bands the color blue would appear the most in the pack.

Therefore, the mode \[MOST\] is Blue.

To find the median the set of numbers must be put in order \[least to greatest OR greatest to least\]. Once the numbers are in order, then cross out one number from each side of the list until the middle of the ordered numbers is reached.

The number in the middle of the ordered numbers is the median.

Placing the scores in order from least to greatest the list would appear as follows:

70, 75, 80, 90, 100

Cross out one number at a time from each side.

First cross out 70. Next, cross out 100. Then, cross out 75. Finally, cross out 90.

70, 75, 80, 90, 100

The median is the number left in the middle of the ordered list which is 80.

A subset of a set , by definition, is any set that contains no elements not in . All elements in , , and are contained in and the sets are subsets; also, , the empty set, is considered a subset of every set. , however, contains element , so

.

is the union of sets and - the set of all elements that appear in either or . These elements are:

This is a set of 14 elements.

The mode is the number that is repeated most often. is repeated three times, more than any other number in the set.

A subset of a set , by definition, is any set that contains no elements not in . Each of the following subsets can be seen to have at least one such element, which is underlined here:

The remaining set can be seen to have only elements from :

This is the correct choice.

The mode of a set of numbers is the number that is repeated most often. In this example, is repeated three times, more than any other number in the set. Therefore, is the mode.

The mean represents the average of a set of values. To find the mean, or average, first find the sum of the set of numbers.

Then, divide the sum by however many numbers are in the set. In this set there are ten numbers, so we will divide two hundred by ten.

Therefore, the mean is .

The mode of a set is the number that occurs most often. In this set, it is 4.

Since the length of your bed is probably somewhere around 6 feet, the best tool to use is a yardstick. A ruler would require more measurements, and therefore, leave more room for error.

The set contains multiples of four.

Odd numbers are not divisible by two, and prime numbers have no factors other than the number itself and one. None of the numbers in this set are odd, nor are they prime. Four is a factor of eight, but none of the other numbers in the set are factors of eight.

Each of the numbers in this set is divisible only by itself and the number 1; therefore, each of the numbers in this set is prime.

While most of the numbers are odd, the number 2 is even, and so "odd" is not the correct answer.