True or false? "In any sample data set, the sum of all the values is equal to the product of the mean and the sample size."

Step-by-step explanation:

One of the method of analysing the distribution of a dataset is by finding the mean of the dataset which is part of the measure of central of tendency.

Mean of a dataset is also known as the average and it is the ratio of the sum of the individual dataset to the sample size.

Mathematically xbar = ΣXi/N where

ΣXi is the sum of the individual dataset

N is the sample size

xbar is the mean

From the formula,  ΣXi = xbar * N

This means that the sum of the individual dataset (all values in the dataset) is equal to the product of the mean (xbar) and the sample size(N).

Hence the statement that In any sample data set, the sum of all the values is equal to the product of the mean and the sample size."is TRUE

could you give more information?

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .