The following table shows the number of times key club students at Peconic high school went to echo beach last summer.
Number of echo beach trips: 5,6,8,9,12,14
Frequency: 8,7,11,15,3,4
a. How many students are in the key club?
b. Find the mean, median, mode, range, variance, and standard deviation for the distribution. Round to the nearest tenth
Answers
a) The students in the key club are 48students.
b) The mean, median, mode, range, variance, and standard deviation for the distribution are 8.3, 8, 9, 9, 303.52, 17.4
What is meant by standard deviation?The standard deviation is a statistic that measures the amount of variation or dispersion in a set of numbers. A low standard deviation implies that the values are close to the mean of the set, whereas a large standard deviation shows that the values are spread out over a greater range.
Given,
The number of echo beach trips are 5,6,8,9,12,14.
And also given that the frequencies are 8,7,11,15,3,4
a) The students in the key club are,
∑[tex]F_{i}[/tex]=8+7+11+15+3+4
=48
∑[tex]F_{i}[/tex]=48
Therefore, the students in the key club are 48students.
b) Mean= ∑[tex]X_{i}[/tex][tex]F_{i}[/tex]/∑[tex]F_{i}[/tex]
=397/48
=8.27≈8.3
Therefore, Mean=8.3
Total number of observations=48
Here, it is an even number
[tex](48/2)^{th}[/tex] [tex]24^{th}[/tex]position and [tex]((48+2)/2)^{th}[/tex] or [tex]25^{th}[/tex] position
X 5 6 8 9 12 14
F 8 7 11 15 3 4
position 8 8+7=15 15+11=26 26+15=41 41+3=44 44+4=48
The value of X at [tex]24^{th}[/tex] position is 8 and [tex]25^{th}[/tex] position is also 8
Then, Median=(8+8)/2
=8
Therefore, Median=8.3
Mode= Highest frequency corresponding to X value
=9
Therefore, Mode=9
Range=Highest value-Lowest value
=14-5
=9
Therefore, Range=9
Variance=∑[tex]F_{i}[/tex]([tex]X_{i}[/tex]-[tex]\bar{X}[/tex])/∑[tex]F_{i}[/tex]
=8(5-8.3)²+7(6-8.3)²+11(8-8.3)²+15(9-8.3)²+3(12-8.3)²+4(14-8.3)²
=87.12+37.03+0.99+7.35+41.07+129.96
=303.52
Therefore, variance=303.52
Standard deviation=√variance
=√303.52
=17.4
Therefore, standard deviation=17.4
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Answers
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Answers
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Step-by-step explanation:
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Answers
Hence, Sergio give to his younger brother is [tex]58[/tex].
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Division is the opposite of multiplication. If three groups of four make twelve in multiplication, twelve divided into [tex]13[/tex] equal groups give four in each group in division.
Here given that,
Sergio buys [tex]684[/tex] red stickers and [tex]729[/tex] blue stickers for his [tex]24[/tex] classmates.
Each classmate receives the same number of stickers.
Total number of stickers are
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The graph of the function y = - 2x + 6 is plotted and attached.
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[y] = [m]x + [c]
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[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
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We have the following equation of line -
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Refer to the graph attached.
Therefore, the graph of the function y = - 2x + 6 is plotted and attached.
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Answers
The volume of the jewelry box will be;
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To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Edna bought a cube-shaped jewelry box that has 7-inch sides.
And, The volume of a cube with side s is s³.
Now,
Since, Edna bought a cube-shaped jewelry box that has 7-inch sides.
Hence, The volume of the jewelry box = 7³
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= 343 inch³
Thus, The volume of the jewelry box will be;
⇒ 343 inch³
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Kelly earns $96 in 12 hours. At this rate, how many dollars will she earn in 20
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OA. $160
OB. $240
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Answers
96/12 = x/20
Solve it and get the answer.
Set up your ratios: $/hours=$/hours
Plug in your values: 96/12=x/20
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Answers
The mail that are sent by big commercial users is 169.60 billion.
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In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.
The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion
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