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OLga [1]
3 years ago
7

Which statements are true about the median of a data set?

Mathematics
2 answers:
Leto [7]3 years ago
8 0

Answer: Third and fifth option

3) The median is the number in the middle on an ordered set of data.

5) To find the middle of an even data set, find the average of the two middle numbers.

Step-by-step explanation:

Given a set of data ordered from lowest to highest, the median of the data is the number that is in the middle. In other words, it is a number x for which it is true that 50% of the data is greater than x and the other 50% of the data is less than x.

For example, for the following set of 7 data:

2, 3, [5], 8, 13

the median is 5.

If the data number is even, for example 10 data:

3, 5, 9, 12, [19, 21], 33, 35, 40, 69

The median is<u><em> the average between the two data that are in the middle </em></u>

\frac{19 +21}{2} = \frac{40}{2} = 20

Note that the median only represents a partition of the ordered data set. Therefore, it is <em><u>not affected by outlier.</u></em> For example

2, 4, 4.5, 4.8, 5          Median = 4.5

2, 4, 4.5, 67, 1506     Median = 4.5

The median does <u><em>not represent the difference between the highest and the lowest data. </em></u>

Therefore the correct affirmations are:

3) The median is the number in the middle on an ordered set of data.

5) To find the middle of an even data set, find the average of the two middle numbers.

Vikentia [17]3 years ago
7 0

Answer: It is 1, 4, and 5

Step-by-step explanation:

i took the test

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A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.
OlgaM077 [116]

Answer:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

Step-by-step explanation:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples=\dfrac{968}{4000}X500=121

For France, Number of Samples=\dfrac{248}{4000}X500=31

For Spain, Number of Samples=\dfrac{2042}{4000}X500\approx 255

For Italy, Number of Samples=\dfrac{742}{4000}X500\approx 93

The completed table therefore is:

\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|

7 0
3 years ago
Read 2 more answers
four friends are collecting canned goods for charity Ron collects 10 more than three times as many cans of Jasmine
kicyunya [14]
<span>four friends are collecting canned goods for charity. ron collects 10 more than 3 times as many cans as jasmine. barry collects twice as many cans as jasmine. alicia collects 10 more cans than barry. how many cans does each person collect if jasmine and ron collect the same number of cans as alicia and barry? R = 10 + 3*J B = 2*J A = 10 + B J + R = A + B
sourced from OPEN STUDY</span>
5 0
3 years ago
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