Which of the following is always true? choose the correct answer below. a. in a symmetric and bell-shaped distribution, the mean, median, and mode are the same. b. the mean and median should be used to identify the shape of the distribution. c. data skewed to the right have a longer left tail than right tail. d. for skewed data, the mode is farther out in the longer tail than the median.

A. In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.

Symmetric distribution is a situation in which the mean, median, and mode are located at the same point and the values of the variables are at regular frequencies. Unlike the skewed distribution, the symmetric distribution does not skew.

The symmetric distribution is usually shaped like a bell curve when depicted on a graph. If a line is drawn down the middle of the graph, the two sides will mirror each other.

The bell curve indicates that the data are symmetric and thus we can make possible expectations according to the probability that the result will be located to the left or right of the center within a range, once we have the deviation inherent in it. Data to measure quantity.

A bell curve graph always depends on two factors:  

(1) Mean: It says about the position of center always.

(2) Standard deviation: It gives the value of the width and height of the bell.

Therefore, we can conclude from the given options, only option (A) is correct.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all