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elena-s [515]
3 years ago
14

Fourteen seniors were asked how many minutes they spent on doing their homework the previous night. The data is displayed below.

Find the median and interpret the value in context. 73 75 87 65 69 62 81 64 68 101 74 71 89 87 a 74 minutes; About half of the students spent less than 74 minutes doing homework and about half spent more than 74 minutes on homework. b 73.5 minutes; About half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework. c 73 minutes; About half of the students spent less than 73 minutes doing homework and about half spent more than 73 minutes on homework. d 73.5 minutes; Most of the students spent 73.5 minutes on homework.
Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

Answer:

Option b is the correct choice.

Step-by-step explanation:

We have been given a data set about minutes spent on doing homework the previous night by 14 seniors.

To find the median of data set, first of all we will arrange our data values from least to greatest order.  

62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101.

Since our data set has an even number (14) of data points, therefore, median will be the average of middle two points, that is 7th and 8th term.

\text{Median}=\frac{\text{7th term + 8th term}}{2}

\text{Median}=\frac{73+74}{2}

\text{Median}=\frac{147}{2}

\text{Median}=73.5

Therefore, median of our given data set is 73.5.

Since median of a data set separates the higher half from the lower half of a data sample. So about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework.

Therefore, option b is the correct choice.


Nadusha1986 [10]3 years ago
7 0

Answer:

b

Step-by-step explanation:

We need to find the median of:-

73 75 87 65 69 62 81 64 68 101 74 71 89 87

First, we need to arrange the numbers in ascending order as below:-

62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101

Since there are a total of 14 numbers, let's split it up into two halves (each of seven numbers)

62, 64, 65, 68, 69, 71, 73           |||             74, 75, 81, 87, 87, 89, 101

The median would be the mean of the two middle numbers i.e. the mean of 73 and 74

Median = \frac{73+74}{2}

= \frac{147}{2}

= 73.5

So, about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework

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makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

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b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

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Sylvia can work less than or equal to 15 hours per week.

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t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

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In 1934 there was an extreme drought and the Great Plains and the number 1,934 is the value of the nine and the hundredth place
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It should be noted that No. the value of the 9 in the hundred place is not ten times the value of 3 in the tens place.

<h3>How to illustrate the information?</h3>

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Lindsey bought 5 packages containing 4 bracelets in each. She plans to decorate the bracelets and then sell them for $3 each. Ho
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