**[OBJECTIVE]**

**Subject:** Educational Statistics

**Time Allowed:** 15 Minutes

**Maximum Marks:** 10

**NOTE:** *Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.*

__Part-I Encircle the right answer, cutting and overwriting are not allowed. (10)__

- Which of the following measures is affected most by extreme values?

(a) Median

(b) Mean

(c) Mode

(d) Frequencies

- The blood pressure of a person is

(a) Continuous variable

(b) Discrete variable

(c) Qualitative variable

(d) None of these

- What kind of average is suitable for open end classes?

(a) Arithmetic mean

(b) Median

(c) Geometric Mean

(d) Harmonic mean

- First hand collected data is called

(a) Secondary data

(b) Primary data

(c) Official data

(d) Semi-official data

- For a normal distribution the measure of kurtosis equals to

(a) Zero

(b) 3

(c) Positive number

(d) Negative number

- Mr. Rizwan calculated a correlation coefficient of -0.96. Which of the following reflects the best interpretation of this?

(a) Strong relationship

(b) Moderate relationship

(c) Weak relationship

(d) No relationship

- Which of the following is not a measure of dispersion?

(a) Range

(b) Standard deviation

(c) Second Quartile

(d) Coefficient of variation

- If in a normal distribution ʯ = 10 and a
^{2}= 25 then the Mode _____.

(a) 05

(b) 10

(c) 25

(d) 50

- The correlation coefficient is of the two regression coefficients.

(a) Arithmetic Mean

(b) Geometric Mean

(c) Harmonic. Mean

(d) Median

- The correlation coefficient lies between

(a) -I to 0

(b) 0 to 1

(c) -1 to +1

(d) both (a) and (c)

**[SUBJECTIVE]**

**Subject:** Educational Statistics

**Time Allowed:** 2 Hours 45 Minutes

**Maximum Marks:** 50

**NOTE:** *ATTEMPT THIS (SUBJECTIVE) ON THE SEPARATE ANSWER SHEET PROVIDED.*

__Part-II Give short answers, each question carries equal marks. (20)__

**Q#1:** Describe Skewness with the help of examples.

**Q#2:** Compute the range of the data 2, 5, 8, 15, 30.

**Q#3:** Given ∑X = 180, ∑X^{2} = 6660 & N=5. Find Variance.

**Q#4:** Find the Median of the values 4,5,6,8,11,12,14.

**Q#5:** Compute Mode of the data 2,2,2,3,3,3,2,3,3,4.

**Q#6:** What is meant by independent sample t- Test and when it is used?

**Q#7:** What is meant by Statistical Hypothesis? Give examples.

**Q#8:** What is mean by dispersion? Briefly describe its types.

**Q#9:** In a moderate skewed distribution mean = 25, and mode = 28. Find the value of median.

**Q#10:** Write down the properties of variance.

__Part-III Give detailed answers, each question carries equal marks. (30)__

**Q#1:** The following data show Kilowatt Hours of electricity used in one month by residential consumers in certain locality of Lahore. Estimate the Mean and Median.

40, 32, 65, 0, 11, 28, 24, 31,15, 5, 11, 0, 6, 14, 22, 47, 23, 27, 19, 7, 15, 32, 0, 23, 36, 45, 26, 31, 30, 25, 52, 50, 42, 34, 93, 53, 80, 74, 38, 69, 61, 54, 37, 50, 31, 39, 44, 68. 50. 55.

**Q#2:** The following table gives the ages of husbands and their wives at the time of marriage. Find the relationship between their ages by calculating the Pearson Product Moment correlation coefficient. Also write your decision about the relationship between ages.

**Husband’s age** 28 27 28 23 29 30 36 35 33 31

**Wife’s age** 27 20 22 18 21 29 29 28 29 27

**Q#3:** Following is the data of monthly expenditures of families in two towns. Compute Mean. Standard Deviation and Co-efficient of Variation for the expenditures to compare the results.

Expenditure |
Total families in Town X |
Total families in Town Y |

21-30 | 6 | 7 |

31-40 | 8 | 22 |

41-50 | 34 | 34 |

51-60 | 2 | 2 |

61-70 | 345 | 9 |

71-80 | 4 | 4 |

81-90 | 2 | 2 |