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storchak [24]
3 years ago
15

The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique.

Mathematics
2 answers:
meriva3 years ago
7 0

Answer:   The best measure of center for this data set is <u>median</u> , and its value is <u>4.5</u> .

Step-by-step explanation:

The given data set : {5, 3, 5, 30, 4, 5, 4, 3, 4, 5}

We can see that it has an outlier (i.e. 30) which is extremely large from all the values.

We know that to measure the center of tendency we measure one of three things arranged in ascending order:

Mode< Median <Mean

But mean gets affected by outlier value.

Then the best measure of center for this data set must be Median.

For this, arrange given data set in order:

{3 ,3 ,4 ,4 ,4 ,5 ,5 ,5 ,5 ,30 }

Since , the number of data values = 10 (even)

Then , Median = Mean of two middle most numbers

\dfrac{4+5}{2}=4.5

Hence, the best measure of center for this data set is <u>median</u> , and its value is <u>4.5</u> .

iris [78.8K]3 years ago
4 0
4.5 thats the answer. Im just typing so its long enough blah blah blah

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In the standard Normal distribution, which z-score represents the 99th percentile?
nydimaria [60]

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

For more information regarding normal distribution, visit brainly.com/question/12691636

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3 0
2 years ago
What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?
Lina20 [59]
(2 5/14) / (2 5/8 * 1 3/7)....turn them all into improper fractions
(33/14) / (21/8 * 10/7)
(33/14) / (105/28)...when dividing fractions, flip what u r dividing by, then multiply
33/14 * 28/105 = 132/210 reduces to 22/35 <==
3 0
3 years ago
Which of the following is the algebraic expression that best describes the height y, if x is the width?
Musya8 [376]
I think the answer is a
4 0
3 years ago
A triangle has a perimeter of 48 feet. If the three sides of the triangle are n, 4n−2, and 4n−4, what is the length of each side
alexdok [17]

Answer:

6; 22; 20 (ft.)

Step-by-step explanation:

1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.

2) if according to the condition perimeter is 48 (ft.), then

9n-6=P; ⇔ 9n-6=48; n=6.

3) if n=6, then the required lengths of the sides are:

n=6 (ft.);

4n-2=22 (ft.);

4n-4=20 (ft.)

3 0
2 years ago
It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se
ozzi

Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
  • Club C, with 5 students.

The possible combinations of 2 students from different clubs are

  • Club A with club B
  • Club A with club C
  • Club B with club C.

The number of combinations for each of these is given by the product between the number of students in the club, so we get:

  • Club A with club B: 10*4 = 40
  • Club A with club C: 10*5 = 50
  • Club B with club C. 4*5 = 20

For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

If you want to learn more about combination and selections, you can read:

brainly.com/question/251701

6 0
2 years ago
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