### All SAT II Math I Resources

## Example Questions

### Example Question #1 : Mode

Find the mode of the following set of numbers:

**Possible Answers:**

**Correct answer:**

The mode of a set of numbers is the one that appears most often. Thus, our answer is .

### Example Question #2 : Mode

Find the mode of the following set of numbers:

**Possible Answers:**

**Correct answer:**

The mode is the number that occurs the most frequently, so our answer is .

### Example Question #1 : Mode

What is the mode of 8, 7, 5, 4, 12, 13, 7, 2, 7?

**Possible Answers:**

**Correct answer:**

The mode is the number that is repeated the most within a set. In our case we see 7 repeated 3 times therefore our mode is 7

### Example Question #3 : Mode

What's the mode?

**Possible Answers:**

**Correct answer:**

Mode is the number occuring the most in the data set. By rearrangging in increasing order, we see that and occur twice. That will be our answers.

### Example Question #4 : Mode

Which value above would be the mode of this particular data set?

**Possible Answers:**

**Correct answer:**

The mode is the value that occurs the most times in one set. In the given set that value is which occurs five times.

### Example Question #1 : Mode

A class of statistics students scored the following on their last test:.

Calculate the mode for this data set.

**Possible Answers:**

**Correct answer:**

The mode is the number that shows up more often than the others in a set of data.

If we put our data set in order we see:

98, 65, 85, 100, 76, 50, 88, 63, 70, 65, 70, 99, 82, 80, 78, 65, 94, 66

Becomes,

50, 63, **65**,** 65**,** 65**, 66, 70, 70, 76, 78, 80, 82, 85, 88, 94, 98, 99, 100.

Therefore, 65 is the mode because it appears 3 times.

### Example Question #1 : Mode

What is the mode of the following data set?

{9, 10, 4, 11, 7, 5, 15, 7, 2, 20, 11, 19, 7, 9}

**Possible Answers:**

11

7

7 and 9

9

2

**Correct answer:**

7

Arrange the set in numerical order: {2, 4, 5, 7, 7, 7, 9, 9, 10, 11, 11, 15, 19, 20}.

You can then chart the frequency of each value.

**Value (Frequency)**

2 (1)

4 (1)

5 (1)

7 (3)

9 (2)

10 (1)

11 (2)

15 (1)

19 (1)

20 (1)

From this you can see the most common value, which is the *mode, *is **7**.

### Example Question #4 : How To Find Mode

A set comprises ten elements, which are

where stands for an unknown number.

What can be set to in order to make the set bimodal?

**Possible Answers:**

The set cannot be bimodal for any value of N.

**Correct answer:**

12 appears in the set most frequently, appearing three times; 19 is second in frequency, appearing twice. 10, 11, 18, and 20 appear once each.

The only number we can set to to make two data values tie for appearing most frequently is 19; 12 and 19 would then each appear three times, and the others, once. If is set to any other number, 12 would remain the most frequent data value.

### Example Question #1 : Mode

Find the mode of the set:

**Possible Answers:**

**Correct answer:**

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set.

For this problem that gives us the answer of 16 for the mode.

### Example Question #6 : Mode

Find the mode of the set:

**Possible Answers:**

**Correct answer:**

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set.

For this problem that gives us the answer of 22 for the mode.

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