A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample

Mathematics

1 answer:

Andrews [41]3 years ago

7 0

A sample of n=8 scores has a mean of m=12. What is the value of ∑x for this sample

Answer: We are given the mean of 8 scores is 12.

We are required to find the sum of these 8 observation's, $\sum x$

We know that:

$\bar{x}=\frac{\sum x}{n}$

We are given:

$\bar{x} = 12, n=8$

$\therefore 12=\frac{\sum x}{8}$

$\sum x = 12 \times 8$

$\sum x=96$

Hence, sum of 8 observation's, $\sum x =96$

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Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more

salantis [7]

Answer:

Option C 41%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The number of people who own at most three t-shirts costing more than $19 each is equal to the number of people who own one t-shirt costing more than $19 each, plus the number of people who own two t-shirt costing more than $19 each, plus the number of people who own three t-shirt costing more than $19 each

Observing the graph

The number of people who own one t-shirt costing more than $19 each is 5

The number of people who own two t-shirt costing more than $19 each is 17

The number of people who own tree t-shirt costing more than $19 each is 23

The number of people who own at most three t-shirts costing more than $19 each is

$(5+17+23)=45\ people$

To find out the percentage divided the number of people who own at most three t-shirts costing more than $19 by one hundred eleven people (total people that shopped in a store) and then multiply by 100

$(45/111)100= 40.54\%$