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saw5 [17]
3 years ago
7

For a particular list of four distinct integers the mean, median and range have the same value. If the least integer in the list

is 10, what is the greatest value for an integer in the list?
Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

The greatest value = 30

Step-by-step explanation:

Let the greatest value in the given 4 integers be x.

So, the least integer is 10 and the greatest integer is x.

Let the remaining two integers be 'a' and 'b'.

Now,

Mean = \frac{10+a+b+x}{4}

Median = Average of 2nd and 3rd observations

= \frac{a+b}{2}

Range = x - 10

From the given information,

Mean = Median = Range

Therefore,

\frac{10+a+b+x}{4} =\frac{a+b}{2} =x - 10

From the first two ratios,

10 + a + b + x = 2a + 2b

or,

a + b = 10 + x        --- (1)

From the last two ratios,

a + b = 2x - 20      --- (2)

From (1) and (2),

10 + x = 2x - 20

10 + 20 = 2x - x

x = 30

Hence, the greatest value = 30


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a. Genre with highest mean is drama. Mean is 72.10

B. 10.46 is difference between means of comedy and horror

C. Horror has the lowest minimum value at 25.00

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Step-by-step explanation:

First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.

1. Which genre has the highest mean score?

From the table, we have the means as:

Action = 58.63

Comedy = 59.11

Drama = 72.10

Horror = 48.65

The genre with the highest score is drama at 72.10

2. Difference in mean score between comedy and horror

Mean of comedy = lc = 59.11

Mean of horror = ly = 48.65

Difference = lc-ly

= 59.11 - 48.65

= 10.46

3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00

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6 0
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Read 2 more answers
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How concerned are you with how to get the answer?
Because I know the answer is 5 miles per hour
22/5= 4.4 hours
27/5= 5.4 hours

Alright this is how you solve it
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So 22/y=x and 27/y+1=x
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22/y=27/y+1
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22/4.4=x
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3 years ago
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