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arsen [322]
2 years ago
15

Chelsea records the number of quarts of water she gives her garden over 444 days. She rounds the measurements to the nearest \df

rac{1}{8}
8
1
​
start fraction, 1, divided by, 8, end fraction quart and then records the information on the line plot below.
Mathematics
1 answer:
geniusboy [140]2 years ago
6 0

Answer:

33

Step-by-step explanation:

Total=7

8

4

​

+7

8

4

​

+8

8

6

​

+9

8

2

​

start text, T, o, t, a, l, end text, equals, 7, start fraction, 4, divided by, 8, end fraction, plus, 7, start fraction, 4, divided by, 8, end fraction, plus, 8, start fraction, 6, divided by, 8, end fraction, plus, 9, start fraction, 2, divided by, 8, end fraction

Hint #22 / 3

Let's add the whole numbers then add the fractions.

\begin{aligned} \text{Total}&=(7+7+8+9)+\left(\dfrac{4}{8}+\dfrac{4}{8} +\dfrac{6}{8}+\dfrac{2}{8}\right)\\\\ &= 31+\dfrac{16}{8}\\\\ &=31+2\\\\ &=33 \end{aligned}

Total

​

 

=(7+7+8+9)+(

8

4

​

+

8

4

​

+

8

6

​

+

8

2

​

)

=31+

8

16

​

=31+2

=33

​

Hint #33 / 3

Chelsea used 33 quarts of water on her garden.

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The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
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<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
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  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

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Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

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