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Sever21 [200]
3 years ago
12

Please help me :( I would appreciate it so much

Mathematics
1 answer:
masya89 [10]3 years ago
5 0

Median and IQR are the appropriate measure for the center and spread  of the given data set. (Option B and C)

<u>Step-by-step explanation:</u>

Usually the center and spread can be measured by various means, Among them Median and Inter Quartile Range are the best known appropriate methods.

Median:

Median is the better measure of a center, since it is the middle value and it is not affected by any outliers and it is also better than the mean value to measure the center.

Inter Quartile Range (IQR):

Inter Quartile Range (IQR) is better to measure the spread, since the outliers mislead and the utmost items will show maximum standard deviation.

So to measure Spread and center, we can use the following,

  • spread - IQR
  • center - median
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2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea
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Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = \frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = \frac{4. 25 + 4. 75}{2}

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = |(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |

MAD = 1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that  the mean and median are the most common measures of center.

A measure of variability is a single number that is  used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

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