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Federal (FBISE) · Chapter test · Free

9th Class Mathematics Chapter 11 Test11. Basic Statistics

30 marks · 40 minutes · 21 questions. Covers: 11. Basic Statistics.

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9th Class Mathematics Chapter 11 Test

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Which of the following is measure of central tendency?
    1. variance
    2. standard deviation
    3. range
    4. arithmetic mean
  2. For class interval 31–40, the class mark is:
    1. 35
    2. 35.5
    3. 36
    4. 40.5
  3. An event which can never happen is called.
    1. sure event
    2. certain event
    3. possible event
    4. impossible event
  4. A wheel has 8 equal sectors. Probability of stopping at one specified sector is:
    1. '1/4
    2. '1/6
    3. '1/8
    4. '1/10
  5. If a coin is tossed 10 times and head occurs 6 times, relative frequency of head is:
    1. 0.4
    2. 0.5
    3. 0.6
    4. 0.8
  6. Probability of picking an ace from a well shuffled pack of 52 playing cards is.
    1. 152\frac{1}{52}
    2. 113\frac{1}{13}
    3. 413\frac{4}{13}
    4. None of these
  7. A decagonal die is labelled 4, 4, 4, 4, 5, 5, 6, 7, 8, 8. Probability of getting 4 is:
    1. '1/5
    2. '2/5
    3. '3/5
    4. '4/5
  8. A wheel has 8 equal sectors. Probability of stopping at one specified sector is:
    1. '1/4
    2. '1/6
    3. '1/8
    4. '1/10
  9. Which measure of central tendency can have more than one value?
    1. weighted mean
    2. median
    3. mode
    4. arithmetic mean
  10. Which of the following is a class mark of the interval ( 10 - 15 )?
    1. 10
    2. 12.5
    3. 15
    4. 16

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. A decagonal die labelled 4 , 4 , 4 , 4 , 5 , 5 , 6 , 7 , 8 , 8 is rolled once. Find the probability of getting. LCM of 4 and 8\text { LCM of } 4 \text { and } 8
  2. Find the median for the following data. 0 , 1 , - 2 , - 3 , 4 , 5 , 6 , 3
  3. Find mode for the following data. 2 , 4 , 3 , 5 , 5 , 3 , 4 , 2
  4. A number wheel is divided into 8 equal sectors labelled as pansy, lily, orchid, tulip, jasmine, rose, marigold and sunflower. Maazz spins the wheel once. Find the probability that pointer.stops at a 4 letter flower namestops \text { at } \text { a }4\text { letter flower name}
  5. A one digit whole number is chosen at random. Find the probability that it is. not a prime number \text { not a prime number }
  6. At a sale, number of items placed according to the price range is given below. Construct a histogram. Price (Rs.)600−9991000−19992000−24992500−29993000−3499f5070756570 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Price (Rs.)} & 600-999 & 1000-1999 & 2000-2499 & 2500-2999 & 3000-3499 \\ \hline f & 50 & 70 & 75 & 65 & 70 \\ \hline \end{array}
  7. A cubical die is rolled 30 times and numbers of dots on front face recorded each time are as follows. Make a discrete frequency distribution. Also make a column of comulative frequency. 2, 6, 2, 3, 2, 4, 5, 4, 3, 1, 2, 6, 5, 3, 4, 6, 2, 2, 4, 6, 5, 1, 3, 4, 6, 5, 1, 1, 6, 3
  8. A one digit whole number is chosen at random. Find the probability that it is.nor the largest 1digit number\text {nor the largest } 1\text {digit number}

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Find mean for the following frequency distribution.Classes0−1010−2020−3030−4040−50f15751 \begin{array}{|c|c|c|c|c|c|} \hline \text{Classes} & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 \\ \hline f & 1 & 5 & 7 & 5 & 1 \\ \hline \end{array}
  2. Find median for the following frequency distribution.Classes0−1010−2020−3030−4040−50f15751 \begin{array}{|c|c|c|c|c|c|} \hline \text{Classes} & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 \\ \hline f & 1 & 5 & 7 & 5 & 1 \\ \hline \end{array}
  3. In a saving group, there are 400 members, and the number of savings certificates held by them in shown in the following table. Construct a histogram of the distribution of saving certificates. Class Interval 1−5051−100101−150151−200201−300301−400401−500No.ofmembers1015304012010085 \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Class Interval } & 1-50 & 51-100 & 101-150 & 151-200 & 201-300 & 301-400 & 401-500\\ \hline No.of members & 10 & 15 & 30 & 40 & 120 & 100 & 85\\ \hline \end{array}