Which of the following numerical expressions results in a negative number?

teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po

mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible top score is 21

The maximum possible top score is 32

The minimum of the possible standard deviation is approximately 1.26

The maximum of the possible standard deviation is approximately 11.7

The reason the above values are correct are as follows:

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is 21

The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is 32

The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ 1.26

The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ 11.7

Learn more about mean and median here:

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8 0

2 years ago

A 2-liter bottle of juice costs $2.80. A box containing six 12-liter bottles sells for $3.90. Which option has a higher cost per

barxatty [35]

Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.

Step-by-step explanation:

Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.

We are to select the option that has a higher cost per liter.

We will be using the UNITARY method to solve the given problem.

Option (1) :

The cost of 2 liter bottle of juice = $2.80.

So, the cost of 1 liter bottle of juice will be

Option (2) :

The cost of six 12 liters bottle of juice = $3.90.

So, the cost of 1 liter bottle of juice will be

Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.

And, the required cost is $1.40 per liter.

7 0

2 years ago

Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were

Anna007 [38]

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

7 0

3 years ago

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Winnie wrote the following riddle.I am a number between 60 and 100.My ones digit is two less than my tens digit.I am a prime num

Kazeer [188]

Answer:

79

Step-by-step explanation:

60<xy<100

y -2 =x

if it is prime

y cannot be even

so y could be 1,3,5,7,9

x would then be 9,1,3,5,7

but to be between 60 and 100

x must be 7 or 9

so the number must be 79 or 57

57 is not prime so

the number is 79

5 0

3 years ago

I need help with this question pls

schepotkina [342]

Answer:

307/500

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers