የምዕራፍ ማስታወሻዎችና የመልመጃ ጥያቄዎች

የ9ኛ ክፍል ሒሳብ ምዕራፍ 9፦ ስታቲስቲክስ እና ፕሮባብሊቲ

በዚህ ገጽ ያለው ሁሉ ለ9ኛ ክፍል የሒሳብ መፅሐፍ ምዕራፍ 9 ነው፦ ምዕራፉ የሚሸፍነው፣ አጭር ማስታወሻዎቹ፣ የመልመጃ ጥያቄዎች ከመልሶቻቸው ጋር፣ እና ቪዲዮ ባለበት የትምህርቱ ቪዲዮ።

3
ካርዶች: 10
የምዕራፍ 9 የመልመጃ ጥያቄዎች

ምዕራፍ 9 የሚሸፍነው

1.Statistical Data
2.Probability

የምዕራፍ 9 አጭር ማስታወሻዎች

በ9ኛ ክፍል የሒሳብ ገጽ ላይ በዚህ ምዕራፍ ሥር የተመዘገቡት ካርዶች። አንድ በአንድ ይክፈቱ።

ያልተደራጀ መረጃ Arithmetic Meanቀመር

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

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

$x_i$: የእያንዳንዱ መረጃ ዋጋ $none$
$n$: አጠቃላይ የመረጃዎች ብዛት $none$

መቼ እንደሚጠቀሙበት

ያልተደራጁ የቁጥር መረጃዎችን አማካይ ዋጋ ለማስላት ይጠቅማል።

ይጠንቀቁ

ማካፈል ያለብዎት ለመረጃዎቹ አጠቃላይ ብዛት እንጂ ለመረጃው ከፍተኛ ዋጋ አይደለም።

ከGrade 9 Mathematics፣ ከገጽ 263 ጀምሮ የተዘጋጀ፤ ከመውጣቱ በፊት ሁለት ጊዜ ተረጋግጧል

የድግግሞሽ ሰንጠረዥ Meanቀመር

\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}

$x_i$: የመረጃው ዋጋ $none$
$f_i$: የመረጃው ድግግሞሽ ብዛት $none$

መቼ እንደሚጠቀሙበት

በድግግሞሽ ሰንጠረዥ የተሰጠን መረጃ አማካይ ለማስላት ይጠቅማል።

ይጠንቀቁ

ማካፈል ያለብዎት ለድግግሞሾቹ ድምር እንጂ በሰንጠረዡ ውስጥ ላሉት የረድፎች ብዛት አይደለም።

ከGrade 9 Mathematics፣ ከገጽ 263 ጀምሮ የተዘጋጀ፤ ከመውጣቱ በፊት ሁለት ጊዜ ተረጋግጧል

የ Mean ባህሪያት በመስመራዊ ለውጦች ውስጥየማጣቀሻ ሠንጠረዥAdd p · Subtract p · Multiply by nonzero p · +1

በእያንዳንዱ የመረጃ ዋጋ ላይ የተደረገ ለውጥ	የሚገኘው Mean
Add $p$	$\text{Mean} + p$
Subtract $p$	$\text{Mean} - p$
Multiply by nonzero $p$	$p \cdot \text{Mean}$
Divide by nonzero $p$	$\frac{\text{Mean}}{p}$

መቼ እንደሚጠቀሙበት

እያንዳንዱ የመረጃ ዋጋ በተመሳሳይ ቋሚ ቁጥር ሲቀየር አዲሱን አማካይ ወዲያውኑ ለማግኘት ይጠቅማል።

ይጠንቀቁ

የሁሉም ዋጋዎች ከ አማካያቸው ያላቸው ልዩነቶች ድምር ሁልጊዜ ዜሮ ነው።

ከGrade 9 Mathematics፣ ከገጽ 263 ጀምሮ የተዘጋጀ፤ ከመውጣቱ በፊት ሁለት ጊዜ ተረጋግጧል

የምዕራፍ 9 የመልመጃ ጥያቄዎች

በዚህ ምዕራፍ ላይ የተጻፉ 10 የምርጫ ጥያቄዎች፣ እያንዳንዳቸው መልሱና ምክንያቱ አላቸው። መልሱን ከመክፈትዎ በፊት ይሞክሩ። ጥያቄዎቹ በእንግሊዝኛ ናቸው።

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ C Religion of a person

ምክንያቱ

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

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ B Discrete data

ምክንያቱ

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

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ A Frequency (f)

ምክንያቱ

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

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ C The most frequent value in the data set

ምክንያቱ

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

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ B Primary data

ምክንያቱ

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

ጥያቄ 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?

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ B 5

ምክንያቱ

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

ጥያቄ 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

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ B 55.5

ምክንያቱ

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

ጥያቄ 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?

መልሱንና ምክንያቱን ያሳዩ

መልስ፦ B 6

ምክንያቱ

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.

ጥያቄ 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)?