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natali 33 [55]
3 years ago
7

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m

iles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%.
Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

Actual mean = 47.3 miles

(47.4167 - 47.3) / 47.3 * 100% = 0.24%

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8th grade math simple help
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3 0
2 years ago
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12 19
gladu [14]

Answer:

First and second box had 80 and 75 lb flour originally.

Step-by-step explanation:

Let the two boxes contained x lb and y lb of the flour respectively.

Both the boxes contained 155 lb of flour in total.

So the first equation will be,

x + y = 155 --------(1)

If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb

and added to the second box then flour in second box = (y + 20) lb

After the mixing of flour statement says that "the first box will contain \frac{12}{19} of the flour now in the second box."

For this statement equation will be

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Equation (1) × 12 + equation (2)

12(x + y) + (19x - 12y) = 155×12 + 620

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x = \frac{2480}{31}

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from equation (1)

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y = 155 - 80

y = 75 lb.

Therefore, first and second boxes had 80 lb and 75 lb of flour originally.

3 0
3 years ago
20 + 30 × 1 =<br>ok... can you answer it now?
vaieri [72.5K]
<span>20 + 30 × 1 
= </span><span>20 + 30 
= 50</span>
8 0
3 years ago
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