B. Table 2: Solving for the variance and standard deviation of the discrete random variable. Probability P(X) X• P(X) (X — и)2 (X — и)2 - Р(X) (X) Σ 2x• P(X) = Variance (o2) = Mean (u) = Standard Deviation (ơ) =
B. Table 2: Solving for the variance and standard deviation of the discrete random variable. Probability P(X) X• P(X) (X — и)2 (X — и)2 - Р(X) (X) Σ 2x• P(X) = Variance (o2) = Mean (u) = Standard Deviation (ơ) =
B. Table 2: Solving for the variance and standard deviation of the discrete random variable. Probability P(X) X• P(X) (X — и)2 (X — и)2 - Р(X) (X) Σ 2x• P(X) = Variance (o2) = Mean (u) = Standard Deviation (ơ) =
From the data given, discrete probability distribution as :
x
Frequency f
Px=fn
x×Px
0
4
0.20
0.0000
2
4
0.20
0.4000
3
6
0.30
0.9000
4
3
0.15
0.6000
6
1
0.05
0.3000
8
2
0.10
0.8000
Total
n=20
1
3
From the data given in the table,
∑x×Px=3μ=3
Thus, the mean is 3
Transcribed Image Text:MINOR PERFORMANCE TASK
Students will ask 20 classmates and/or strand mates random question that will
require 1 quantitative discrete answer. They will then evaluate the answers and find its
corresponding probability. The students will solve and interpret the mean, variance and
standard deviation of the obtained data.
Survey Question:
How many peets do you have at home?
Response:
Last Name
1 Rasales
2 Ladrera
3 Launto
4 Can tila
5 kho
6 Magriña
7 Suoabo
8 Mira felix
9 Dela Cruz
10 Monteuirgen
Response (X)
2
2.
Response (X)
Last Name
11 Maytinez
12 Luma-as.
13 Meja
14 Malonzo
4.
3.
3.
3.
16 Palángdao
17 Sagcal
18 Salazar
19 Pineda
20 Mina
3.
3.
Transcribed Image Text:B. Table 2: Solving for the variance and standard deviation of the discrete random
variable.
Probability
P(X)
X• P(X)
(X — и)2
(X — и)2 . Р(X)
(X)
Ex• P
X• P(X) =
Variance (o?) =
Mean (u) =
Standard Deviation (o) =
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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