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ICE Princess25 [194]
3 years ago
12

A student wants to report on the number of movies her friends watch each week. The collected data are below: 0 , 0 , 1 , 1 , 2 ,

2 , 2 , 14 Which measure of center is most appropriate for this situation and what is its value? Group of answer choices Median, 1.5 Median; 3 Mean, 1.5 Mean; 3
Mathematics
1 answer:
Nataly [62]3 years ago
4 0

Answer: median = 1.5

Step-by-step explanation:

The mean is the most common measure of center which is synonymous to average. However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution.

The median is the value in the center of the data. Half of the values are less than the median and half of the values are more than the median. It is probably the best measure of center to use in a skewed distribution.

The median of

0 , 0 , 1 , 1 , 2 , 2 , 2 , 14

Median = (1+2)/2 = 1.5

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What is the sum of the first 37 terms of the arithmetic sequence?
lidiya [134]

Answer:

The sum of the first 37 terms of the arithmetic sequence is 2997.

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.

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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

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a_{37} = 189

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S_{37} = \frac{37(-27 + 189)}{2} = 2997

The sum of the first 37 terms of the arithmetic sequence is 2997.

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