Yaadannoo boqonnaa fi gaaffii shaakalaa

Boqonnaa 9 Herrega kutaa 9: Istaatistiiksii fi Piroobaabiliitii

Wanti fuula kana irra jiru hundi boqonnaa 9 kitaaba Herrega kutaa 9 tiif: wanta boqonnaan haguugu, yaadannoo gabaabaa, gaaffii shaakalaa deebii isaanii waliin, fi viidiyoo barnootaa bakka jirutti.

3
Kaardii: 10
Gaaffii shaakalaa boqonnaa 9

Boqonnaan 9 maal haguuga

1.Statistical Data
2.Probability

Yaadannoo gabaabaa boqonnaa 9

Kaardiiwwan fuula Herrega kutaa 9 irratti boqonnaa kana jala galmaa'an. Tokko tokkoon bani.

Arithmetic Mean Ragaa Hin Qindaa'iniiFoormulaa

\text{Mean} = \frac{x_1 + x_2 + \dots + x_n}{n}

\text{Mean} = \frac{x_1 + x_2 + \dots + x_n}{n}

$x_i$: Gatii ragaa dhuunfaa $none$
$n$: Baay'ina ragaalee waliigalaa $none$

Yoom akka itti fayyadamtu

Giddugaleessa tarree lakkoofsota hin qindaa'inii barbaaduuf tajaajila.

Of eeggadhu

Baay'ina ragaalee waliigalaatiif hiri malee gatii guddaaf hin hirin.

Grade 9 Mathematics, fuula 263 irraa eegalee irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Mean Gabatee Irra-deddeebiiFoormulaa

\text{Mean} = \frac{f_1 x_1 + f_2 x_2 + \dots + f_k x_k}{f_1 + f_2 + \dots + f_k}

\text{Mean} = \frac{f_1 x_1 + f_2 x_2 + \dots + f_k x_k}{f_1 + f_2 + \dots + f_k}

$x_i$: Gatii ragaa $none$
$f_i$: Irra-deddeebii gatii ragaa $none$

Yoom akka itti fayyadamtu

Mean ragaa gabatee irra-deddeebii keessatti kenname shallaguuf tajaajila.

Of eeggadhu

Ida'ama irra-deddeebiitiif hiri malee baay'ina tarreewwan gabatichaatiif hin hirin.

Grade 9 Mathematics, fuula 263 irraa eegalee irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Amaloota Mean Jijjiirama Wanti Hunda Irratti Ta'uunGabatee wabiiAdd p · Subtract p · Multiply by nonzero p · +1

Jijjiirama gatii ragaa hunda irratti ta'e	Mean argamu
Add $p$	$\text{Mean} + p$
Subtract $p$	$\text{Mean} - p$
Multiply by nonzero $p$	$p \cdot \text{Mean}$
Divide by nonzero $p$	$\frac{\text{Mean}}{p}$

Yoom akka itti fayyadamtu

Yeroo gatiin ragaa hundi lakkoofsa walfakkaataadhaan jijjiiramu, mean haaraa dafanii shallaguuf tajaajila.

Of eeggadhu

Ida'amni garaagarummaa ragaalee hundaafi mean gidduu jiru yeroo hunda ebaadha.

Grade 9 Mathematics, fuula 263 irraa eegalee irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Gaaffii shaakalaa boqonnaa 9

Gaaffii filannoo 10 boqonnaa kana irratti barreeffaman, tokkoon tokkoon isaanii deebii fi sababa qabu. Deebii banuu dura yaali. Gaaffiin kun Ingiliffaa tiin.

Gaaffii 1

Which of the following is an example of qualitative data?

A.Monthly income of a person in birr
B.Height of a student in centimeters
C.Religion of a person
D.Number of academic months in a year

Deebii fi sababa agarsiisi

Deebii: C Religion of a person

Sababa

Qualitative data describes characteristics whose values are not numbers, such as religion, sex, or color.

Gaaffii 2

What type of data is a count involving whole integers that cannot be divided into smaller parts, such as the number of children in a school?

A.Continuous data
B.Discrete data
C.Qualitative data
D.Secondary data

Deebii fi sababa agarsiisi

Deebii: B Discrete data

Sababa

Discrete data is a count that involves integers. Only whole numbers are possible, and the values cannot be subdivided into parts.

Gaaffii 3

In a standard histogram, which quantity is plotted along the vertical (y-axis)?

A.Frequency (f)
B.Variable or class interval (V)
C.Mean value
D.Median value

Deebii fi sababa agarsiisi

Deebii: A Frequency (f)

Sababa

By definition, in a histogram the variable (V) is plotted on the x-axis and the frequency (f) is plotted on the y-axis.

Gaaffii 4

What is the mode of a set of data?

A.The sum of all values divided by the total count
B.The middle score when data is ordered by magnitude
C.The most frequent value in the data set
D.The difference between the highest and lowest values

Deebii fi sababa agarsiisi

Deebii: C The most frequent value in the data set

Sababa

The mode is defined as the most frequent value in a set of data.

Gaaffii 5

Data that is collected directly by the researcher through surveys, interviews, or experiments to solve a specific problem is called:

A.Secondary data
B.Primary data
C.Census data
D.Continuous data

Deebii fi sababa agarsiisi

Deebii: B Primary data

Sababa

Primary data is data generated directly by the researcher through their own surveys, interviews, or experiments.

Gaaffii 6

Seven students have the following number of exercise books: 5, 4, 6, 4, 3, 6, and 7. What is the mean number of exercise books?

Deebii fi sababa agarsiisi

Deebii: B 5

Sababa

The mean is the sum divided by the count: (5 + 4 + 6 + 4 + 3 + 6 + 7) / 7 = 35 / 7 = 5.

Gaaffii 7

What is the median of the following set of 10 test scores?
14, 35, 45, 55, 55, 56, 56, 65, 87, 89

A.55.0
B.55.5
C.56.0
D.57.5

Deebii fi sababa agarsiisi

Deebii: B 55.5

Sababa

For an even number of observations, take the average of the 5th and 6th scores: (55 + 56) / 2 = 55.5.

Gaaffii 8

A shopkeeper in Addis Ababa recorded the number of pencils bought by 10 customers as follows:
- 3 pencils: 2 customers
- 5 pencils: 2 customers
- 6 pencils: 4 customers
- 10 pencils: 2 customers
What is the mean number of pencils bought per customer?

Deebii fi sababa agarsiisi

Deebii: B 6

Sababa

Multiply each value by its frequency and divide by the total frequency: (3*2 + 5*2 + 6*4 + 10*2) / 10 = (6 + 10 + 24 + 20) / 10 = 60 / 10 = 6.

Gaaffii 9

If x̄ is the arithmetic mean of n observations x₁, x₂, ..., x_n, what is the sum of the deviations from the mean: (x₁ - x̄) + (x₂ - x̄) + ... + (x_n - x̄)?

A.0
B.1
C.n
D.n * x̄

Deebii fi sababa agarsiisi

Deebii: A 0

Sababa

According to Property 1 of the mean, the sum of the deviations of all observations from their arithmetic mean is always equal to 0.

Gaaffii 10

The mean of a set of numbers is 4. If each number is first multiplied by 3 and then increased by 1, what is the new mean?

A.12
B.13
C.15
D.16

Deebii fi sababa agarsiisi

Deebii: B 13

Sababa

When every observation is multiplied by 3, the mean becomes 4 * 3 = 12. When 1 is then added to each observation, the new mean becomes 12 + 1 = 13.

Appiin boqonnaa kana irratti gaaffii 12 qaba; utuu hojjettuu ni sirreessa. Kan asii jiran 10 jalqabaa ti.

Fuula kitaabaa boqonnaa 9

Kitaaba barataa Herrega kutaa 9 guutuu, PDF bilisaan.

Maxxansa Ministeera Barnootaa, Ingiliffaa, Fuula 337

PDF buufadhaa

Yaadannoo gabaabaa Herrega kutaa 9 hunda

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