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3 years ago

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.

Mathematics

1 answer:

inn [45]3 years ago

3 0

Answer:

Step-by-step explanation:

(a) MEAN = £fx/ fx (The sum of the all jerseys number/ number of jerseys)

= 680/11

= 61.8

(b) MEDIAN = The middle number when all the items are arranged either in ascending order or descending order

= 6, 14, 50, 51, 54, 68, 77, 78, 89, 94, 99

= 68

(Strike out the numbers, the middle number left is the median)

From those items, THERE IS NO MODE.

All the items (numbers) appeared once

(d) MID-RANGE:

This is the sum of the least valued number and the greatest valued number and dividee by two

Mid-range = (99 + 6) / 2

= 105/2

= 52.5

(e). The results tells us that:

The mean and median give two different interpretations of the average (or typical) jersey number, while the midrange shows the spread of possible jersey numbers

Also, pls note that the median implies the measure of the middle of the sets of jerseys number. And the mean tells us the distribution of the sets of jerseys number.

Hope this helped!

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An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th

nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = $\frac{opposite}{adjacent}$

= $\frac{x}{d}$

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is $30^{o}$ , and the height of the tree is 10 m, then the distance, d, across the river would be;

d = $\frac{10}{0.5774}$

= 17.3190

d = 17.32 m

The sketch to the explanation is attached to this answer for more clarification.

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3 years ago

The angles of a pentagon are in ratio

ivanzaharov [21]

Answer:

216°

Step-by-step explanation:

The ratio of the sum of smallest and largest to the total of all angles is ...

(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4

The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...

180°(5 -2) = 540°

Then the sum of smallest and largest angles is ...

0.4(540°) = 216°

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4 years ago

Read 2 more answers

Point A is at -5 and point B is at 11.<br> What is the distance of AB?

Allisa [31]

Answer:

The distance of AB would be 16.

Step-by-step explanation:

There are several ways to do this. But the way that would probably be easier for u to understand would be if you found the distance of -5 from 0. Remember targ distance is always positive so the distance would be 5 points. Then u have to get to point B or also 11. That means you have to move 11 points Altogether if you add 5 and 11 you get 16.

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3 years ago

The quarterly returns for a group of 51 mutual funds are well modeled by a Normal model with a mean of 7.4% and a standard devi

Wittaler [7]

Answer:

A) x ≥ 0.074; B) x ≥ 0.108; C) x ≤ 0.006; D) 0.04 ≤ x ≤ 0.108

Step-by-step explanation:

68% of data will fall within 1 standard deviation of the mean; 95% of data will fall within 2 standard deviations of the mean; and 99.7% of data will fall within 3 standard deviations of the mean.

Breaking this down, we find that 34% of data fall from the mean to 1 standard deviation above the mean; 13.5% of data fall from 1 standard deviation above the mean to 2 standard deviations above the mean; 2.35% of data fall from 2 standard deviations above the mean to 3 standard deviations above the mean; and 0.15% of data fall above 3 standard deviations above the mean.

The same percentages apply to the standard deviations below the mean.

The highest 50% of data will fall from the mean to the end of the right tail. This means the inequality for the highest 50% will be x ≥ 0.074, the mean.

The highest 16% of data will fall from 1 standard deviation above the mean to the end of the right tail. This means the inequality for the highest 16% will be x ≥ 0.074+0.034, or x ≥ 0.108.

The lowest 2.5% of data will fall from 2 standard deviations below the mean to the end of the left tail. This means the inequality for the lowest 2.5% will be x ≤ 0.074-0.034-0.034, or x ≤ 0.066.

The middle 68% will fall from 1 standard deviation below the mean to 1 standard deviation above the mean; this means the inequality for the middle 68% will be

0.074-0.034 ≤ x ≤ 0.074+0.034, or

0.04 ≤ x ≤ 0.108

8 0

4 years ago

The following shows the process a student used to determine the number of yards in 3,218 meters.

Vilka [71]

Answer:

Step-by-step explanation:3520

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3 years ago

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question.

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.