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3 years ago

Find the median and mean of this data set: 83, 27, 11, 78, 50, 33, 46.

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

Median: 46

Mean: about 46.9

Range: 72

Step-by-step explanation:

Median:

Put them in order

11 27 33 46 50 78 83

Then find the middle value which is 46.

Mean:

Add them all together then divide by the number of values

(11+27+33+46+50+70+83)/7

about 46.8571

Range:

Highest value-lowest value

83-11

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Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

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Answer:

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Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

$a_{n} = a_{1} + (n-1)*d$

The sum of the first n terms of an arithmetic sequence is given by:

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In this question:

$a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6$

We want the sum of the first 37 terms, so we have to find $a_{37}$

$a_{n} = a_{1} + (n-1)*d$

$a_{37} = a_{1} + (36)*d$

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Then

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