Basic Statistics

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Questions 1 - 10
1

Reginald has scores of {87, 79, 95, 91} on the first four exams in his Spanish class. What is the minimum score he must get on the fifth exam to get an A (90 or higher) for his final grade?

98

90

71

82

95

Explanation

To find the fifth score, we need to set the average of all of the scores equal to 90.

Multiply both sides of the equation by 5.

Subtract 352 from both sides of equation.

2

Reginald has scores of {87, 79, 95, 91} on the first four exams in his Spanish class. What is the minimum score he must get on the fifth exam to get an A (90 or higher) for his final grade?

98

90

71

82

95

Explanation

To find the fifth score, we need to set the average of all of the scores equal to 90.

Multiply both sides of the equation by 5.

Subtract 352 from both sides of equation.

3

If the average of numbers is and the average of numbers is , what is the average of all the numbers?

Explanation

To find the average of all the numbers, we need to find the sums from each average. Since the average of numbers is , that means the sum is .

The average of numbers is means the sum is .

Then, the total sum is which is the sum of all the numbers.

So to find average, we do divided by to get .

4

If the average of numbers is and the average of numbers is , what is the average of all the numbers?

Explanation

To find the average of all the numbers, we need to find the sums from each average. Since the average of numbers is , that means the sum is .

The average of numbers is means the sum is .

Then, the total sum is which is the sum of all the numbers.

So to find average, we do divided by to get .

5

What is the range of the following data set?

Explanation

What is the range of the following data set?

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

So our range is

6

What is the range of the following data set?

Explanation

What is the range of the following data set?

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

So our range is

7

Determine the mode of the set.

Explanation

Mode refers to the number occuring most often, so in this example we are looking for the numbers that repeat and how many times they repeat.

repeats twice

repeats twice

repeats twice

Now because all three numbers repeated an equal amount of time, all three then become our mode.

Answer :

8

Determine the mode of the set.

Explanation

Mode refers to the number occuring most often, so in this example we are looking for the numbers that repeat and how many times they repeat.

repeats twice

repeats twice

repeats twice

Now because all three numbers repeated an equal amount of time, all three then become our mode.

Answer :

9

What is the mean of the following numbers?

88,99,31,47,68,27

Explanation

To find the mean you add all of the numbers together and divide it by the amount of numbers. In this case there are six numbers so

The answer is .

10

What is the mean of the following numbers?

88,99,31,47,68,27

Explanation

To find the mean you add all of the numbers together and divide it by the amount of numbers. In this case there are six numbers so

The answer is .

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