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Punjab (PTB) · Chapter test · Free

1st Year Statistics Chapter 3 TestMeasure of Location

30 marks · 40 minutes · 21 questions. Covers: CHAP 3: Measure of Location.

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1st Year Statistics Chapter 3 Test

1st Year · Statistics · Punjab (PTB)

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

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

  1. If any value in a series is zero, then we cannot calculate the:

    1. Mean

    2. Harmonic mean

    3. Mode

    4. Median

  2. Which of the following measures cannot be calculated for the numbers 5, 8, 12, 6, 9, 13, 10.

    1. Median

    2. Mode

    3. Mean

    4. None of these

  3. If the values in a series are not of equal importance, we compute the:

    1. Median

    2. Harmonic mean

    3. Mean

    4. Weighted mean

  4. Which is appropriate average for finding the average speed of a journey?

    1. Mean

    2. Geometric mean

    3. Harmonic mean

    4. Weighted mean

  5. Which average cannot be computed if any value is less than zero:

    1. G.M.

    2. Median

    3. Mode

    4. A.M.

  6. The suitable average for the qualitative data is:

    1. Mean

    2. Mode

    3. Geometric mean

    4. Weighted mean

  7. In a symmetrical distribution:

    1. Q1 = Q3

    2. P25 = P50 = P75

    3. A.M. = G.M. = H.M.

    4. A.M. = Med = Mode

  8. If  then  could be:

    1. 20

    2. 18

    3. 28

    4. 25

  9. Which of the following is the first step in calculating the median of a data set?

    1. Average the middle two values of the data set

    2. Array the data

    3. Determine the relative weights of the data values in terms of importance

    4. None of these

  10. Median divides the data into:

    1. 2 parts

    2. 3 parts

    3. 4 parts

    4. 10 parts

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

  1. Write down the merits/advantages of Median.

  2. Find median for the following: 58 54 21 51 59 46 65 31 68 41 36

  3. If the value of Q2, D5 and P50 are equal to 27.12, then find Median of the distribution.

  4. The mean is affected by change of origin and scale. Explain.

  5. What are the desirable qualities/properties of a good/ideal average (any two)?

  6. Give a common advantage and a common disadvantage of the median and the mode.

  7. If for 10 observations, . Find the value of mean.

  8. Write down the demerits/disadvantages of Median.

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

  1. A set of numbers consist of six 6's seven 7's eight 8's nine 9's and ten 10's. What is the arithmetic mean, median and mode of the numbers.

  2. A computer calculated a mean of 42 from 20 observations. It was later discovered at the time of checking that he had copied down two values as 45 and 38, whereas the correct values were 35 and 58. Find the correct value of mean.

  3. For a certain frequency distribution, the value of mode was 85 and the median was 65. Find the approximate value of the arithmetic mean.