Number 21 and 22 need help

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th

den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

(c) The best measure of center= Median.

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

$\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}$

$\text{Mean}=\frac{740}{10}=74$

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

$\text{Median}=\frac{70+70}{2}$

$\text{Median}=\frac{140}{2}$

$\text{Median}=70$

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.

3 0

3 years ago

Read 2 more answers

What are soulutions to x^2 - 2x - 24 = 0<br> who is brainliest

ratelena [41]

Answer:

(x - 6)(x + 4) = 0.

Step-by-step explanation:

With your case of x2 - 2x - 24, we have b1+b2 = -2 and b1b2 = 1*(-24) = -24. So the equation x2 - 2x - 24 = 0 becomes (x - 6)(x + 4) = 0.

8 0

3 years ago

Read 2 more answers

Classify triangle by its<br> Aangles and sides

goldenfox [79]

Answer:

Triangle is a three(3) sided shape i.e it has 3 sides and angles. Triangle can classify based on its side (length and equality) and size of its angles.

Step-by-step explanation:

A, Classification by sides: There are three types of triangle base on sides. These are:

1. Scalene Triangle : This describe triangle that has none of its side to be equal. i.e none of the three sides has no equal length.

2. Isosceles Triangle : This describe triangle that has two of its side equal. Also two of the angles are equal.

3. Equilateral Triangle : This describe triangle that has all its side equal i.e all three sides have equal length. Also all angles are of equal sizes.

B. Classification by size of angle: There are four types of triangle base on classification by angle:

1. Acute Triangle : This describe triangle with all three angles less than 90 degree.

2. Obtuse Triangle : This describe triangle that has one of its angle greater than 90 degree

3. Right Angled Triangle : This describe triangle with one of its angle equal 90 degree.

7 0

3 years ago

Which is the range of possible side lengths of the missing side?

Harlamova29_29 [7]

Answer:

5 < x <21

Step-by-step explanation:

The side lengths of a triangle :

The sum of two side lengths selected at random must be bigger than the third side length and their difference must be smaller than the third side length

If we call the third side x than

x must be smaller than 13 + 8 and x must be bigger than 13 - 8 which means

5 < x <21

3 0

3 years ago

Please helpppppppppppppppppppppp

DedPeter [7]

Answer:

1/8 Hour(s) longer

Step-by-step explanation:

5/8-1/2= 1/8

8 0

2 years ago