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Federal (FBISE) · Quarter book test · Free

9th Class General Math 4th Quarter Book Paper

40 marks · 1 hour · 28 questions. Covers: 10. Basic Statistics.

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9th Class General Math 4th Quarter Book Paper

9th Class · General Math · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 40Time: 1 hour

Q1. Multiple choice questions (Attempt all · 12 × 1 = 12)

  1. The individual income of eight men is 3000 rupees, 4000 rupees, 3500 rupees, 3800 rupees, 4500 rupees, 4200 rupees, 3600 rupees and 5400 rupees.
    1. Rs.3000
    2. Rs.4000
    3. Rs.4500
    4. Rs.5000
  2. Which party interval has the highest frequency. They say ..........
    1. The middle class
    2. Mode class
    3. Arithmetic class
    4. Multiply class
  3. ......... From any value represents the sum of the frequencies of the first values.
    1. Columnar map
    2. Ugh
    3. Cumulative frequency
    4. Plurality
  4. is one of the properties of
    1. arithmetic mean
    2. geometric mean
    3. harmonic mean
    4. mode
  5. ...... the material has an average cost.
    1. Arithmetic mean
    2. Multiply mean
    3. Mean
    4. Mode
  6. The number of times a value is found in the given content. It is called ...........
    1. Arithmetic mean
    2. Mean
    3. Number
    4. Central tendency
  7. The middle values of data arranged in numerical order is called.
    1. mode
    2. median
    3. mean
    4. geometric mean
  8. Derive the mean using a series of n consecutive values ​​of an observation. It is called .............
    1. Multiply average
    2. Harmonic average
    3. Arithmetic average
    4. Moving average
  9. 1, 4, 0, 8, 9 are calculated averages.
    1. 3.4
    2. 4.4
    3. 5.4
    4. 6.4
  10. Hours are for 6, 8, 13, 11, 18, 27, 23.
    1. 18
    2. 21
    3. 24
    4. 27
  11. If all numbers in a set are added together and then the total is divided by the number of scores in the set is called.
    1. mean
    2. mode
    3. median
    4. weighted mean
  12. Multiple polygons. is obtained by joining the midpoints of the above rectangles.......
    1. Ugh
    2. Multiplicity of tables
    3. Histogram
    4. All are correct

Q2. Short questions (Attempt any 8 of 12 · 8 × 2 = 16)

  1. Define Cumulative Frequency.
  2. Consider the following frequency table which shows the result of a survery on the per month pay of 100 men. Pay0−19992000−39994000−59996000−999910000−19999Frequency203625145 \begin{array}{|c|c|c|c|c|c|} \hline \text{Pay} & 0-1999 & 2000-3999 & 4000-5999 & 6000-9999 & 10000-19999 \\ \hline \text{Frequency} & 20 & 36 & 25 & 14 & 5 \\ \hline \end{array}
  3. Construct a histrogram with equal intervals with the help of following frequency. Weight (Kg)50−5960−6970−7980−8990−99100−109Frequency1530351532 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Weight (Kg)} & 50-59 & 60-69 & 70-79 & 80-89 & 90-99 & 100-109 \\ \hline \text{Frequency} & 15 & 30 & 35 & 15 & 3 & 2 \\ \hline \end{array}
  4. Find the mean of content . 3,5,6,8,8,9,10 3,5,6,8,8,9,10
  5. Find the average of content . 3,5,6,8,8,9,10 3,5,6,8,8,9,10
  6. Find the range 6,8,10,14,13,12 6, 8, 10, 14, 13, 12
  7. Define Mean.
  8. The table shows the results of a survey on the weekly earnings of 100 sixteen-year old boys. Draw a histrogram. Weekly earnings0−910−1920−2930−3940−4950−59Frequency45101121103 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Weekly earnings} & 0-9 & 10-19 & 20-29 & 30-39 & 40-49 & 50-59 \\ \hline \text{Frequency} & 45 & 10 & 11 & 21 & 10 & 3 \\ \hline \end{array}
  9. For the given data estimate the mode. Class interval60−7070−8080−9090−100100−110110−120Frequency57101283 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Class interval} & 60-70 & 70-80 & 80-90 & 90-100 & 100-110 & 110-120 \\ \hline \text{Frequency} & 5 & 7 & 10 & 12 & 8 & 3 \\ \hline \end{array}
  10. Define Cumulative Frequency Polygon or ( Ogive ).
  11. Find Geometric mean. 2,4,8 2, 4, 8
  12. Calculate mode by graphic method from the given data. Wages Rs.120−125125−130130−135135−140140−145145−150Frequency103040252015 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Wages Rs.} & 120-125 & 125-130 & 130-135 & 135-140 & 140-145 & 145-150 \\ \hline \text{Frequency} & 10 & 30 & 40 & 25 & 20 & 15 \\ \hline \end{array}

Q3. Long questions (Attempt any 3 of 4 · 3 × 4 = 12)

  1. Construct a cumulative frequency polygon. Classes5−1010−1515−2020−2525−30Frequency1015203015 \begin{array}{|c|c|c|c|c|c|} \hline \text{Classes} & 5-10 & 10-15 & 15-20 & 20-25 & 25-30 \\ \hline \text{Frequency} & 10 & 15 & 20 & 30 & 15 \\ \hline \end{array}
  2. Find out the standard deviation and variability ∑(x−xˉ)2=1444,n=15\sum (x - \bar{x})^2 = 1444, \quad n = 15 of the non-group content that contains non-group content.
  3. The table shows the distribution of weights ( in kilograms ) of 60 boys of ten years of age. Construct a cumulative frequency polygon. Weights31−3637−3940−4243−4546−54Frequency810181212 \begin{array}{|c|c|c|c|c|c|} \hline \text{Weights} & 31-36 & 37-39 & 40-42 & 43-45 & 46-54 \\ \hline \text{Frequency} & 8 & 10 & 18 & 12 & 12 \\ \hline \end{array}
  4. Find the arithmetic mean for the following distribution showing marks obtained by 50 students in mathematics in the annual exam. Marks20−2425−2930−3435−3940−4445−4950−54Frequency148111592 \begin{array}{|c|c|c|c|c|c|c|c|} \hline \text{Marks} & 20-24 & 25-29 & 30-34 & 35-39 & 40-44 & 45-49 & 50-54 \\ \hline \text{Frequency} & 1 & 4 & 8 & 11 & 15 & 9 & 2 \\ \hline \end{array}