APPSC Paper I · Hostel Welfare Officer Paper II · Topic 6

6 APPSC Paper I Educational Statistics questions with answers

11 questions from APPSC HWO 2025 Paper II question paper with answers and APPSC HWO Paper II Mock 1 with answers. Try each one, then tap Show answer.

Previous-paper questions are as in the original paper. Medha AI wrote the answers and explanations.

6.2Measures of variability

  1. Q1 HWO 2025 Paper II, Q36

    A measure of the spread of variability of scores in a group of people is called

    1. ANorms
    2. BReliability
    3. CStandard Deviation
    4. DValidity
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    Answer C. Standard Deviation

    Standard deviation measures how widely scores spread around the mean.

    Source: APPSC HWO 2025 Paper II (Notification 15/2025), Q39, final key

  2. Q2 HWO Paper II Mock 1, Q80

    What is the standard deviation of the scores 2, 4, 4, 4, 5, 5, 7, 9?

    1. A4
    2. B1
    3. C3
    4. D2
    Show answerHide answer

    Answer D. 2

    Mean = 40/8 = 5. Squared deviations: 9, 1, 1, 1, 0, 0, 4, 16 = 32. Variance = 32/8 = 4; SD = √4 = 2.

    Source: Medha AI, based on the APPSC HWO Paper II syllabus (25/2026)

  3. Q3 HWO Paper II Mock 1, Q83

    Which measure of variability is based only on the two extreme scores and is therefore most affected by a single unusual score?

    1. AStandard deviation
    2. BMean deviation
    3. CRange
    4. DQuartile deviation
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    Answer C. Range

    Range uses only the highest and lowest scores, so one very high or very low score changes it a lot; it ignores every score in between.

    Source: Medha AI, based on the APPSC HWO Paper II syllabus (25/2026)

6.1Measures of central tendencyNotes

  1. Q4 HWO 2025 Paper II, Q117

    Which measure of central tendency is appropriate for nominal data ?

    1. AMean
    2. BMedian
    3. CMode
    4. DStandard deviation
    Show answerHide answer

    Answer C. Mode

    Nominal data are just categories with no order or numeric value, so only the most frequent category (mode) can be found.

    Source: APPSC HWO 2025 Paper II (Notification 15/2025), Q124, final key

  2. Q5 HWO 2025 Paper II, Q119

    Which of the following is positional average ?

    1. AMean
    2. BMedian
    3. CMode
    4. DAll of the above
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    Answer B. Median

    The median is fixed by its position (the middle item) in ordered data, so it is called a positional average; the mean is a mathematical average.

    Source: APPSC HWO 2025 Paper II (Notification 15/2025), Q126, final key

  3. Q6 HWO 2025 Paper II, Q120

    The arithmetic mean of 15 items is 8 and the arithmetic mean of 10 items is 6. What is the combined arithmetic mean ?

    1. A7
    2. B7.2
    3. C7.5
    4. D6.2
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    Answer B. 7.2

    Combined mean = (15 x 8 + 10 x 6) / (15 + 10) = (120 + 60) / 25 = 180 / 25 = 7.2.

    Source: APPSC HWO 2025 Paper II (Notification 15/2025), Q127, final key

  4. Q7 HWO Paper II Mock 1, Q79

    In a test, 20 boys have a mean of 55 and 30 girls have a mean of 60. What is the combined mean of the class?

    1. A57
    2. B57.5
    3. C58
    4. D59
    Show answerHide answer

    Answer C. 58

    Combined mean = (N₁M₁ + N₂M₂) ÷ (N₁ + N₂) = (1100 + 1800) ÷ 50 = 58.

    Source: Medha AI, based on BRAOU B.Ed/Psychology textbooks (HWO Paper II)

  5. Q8 HWO Paper II Mock 1, Q82

    In a class test, the score obtained by the largest number of students is called the

    1. AMean
    2. BMedian
    3. CMode
    4. DRange
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    Answer C. Mode

    The mode is the score that occurs most often, so it is the score obtained by the largest number of students.

    Source: Medha AI, based on the APPSC HWO Paper II syllabus (25/2026)

6.3Correlation

  1. Q9 HWO 2025 Paper II, Q118

    If two variables X and Y have significant negative correlation, which of the following statement is true ?

    1. AX causes variation in Y
    2. BY causes variation in X
    3. CX and Y vary together
    4. DX and Y cause each other to vary
    Show answerHide answer

    Answer C. X and Y vary together

    Correlation, positive or negative, only shows that two variables vary together (here in opposite directions); it does not prove cause and effect.

    Source: APPSC HWO 2025 Paper II (Notification 15/2025), Q125, final key

  2. Q10 HWO Paper II Mock 1, Q81

    Which coefficient is used when both variables are genuine two-category variables, such as gender and pass/fail?

    1. ABiserial correlation
    2. BPhi coefficient
    3. CProduct-moment correlation
    4. DMultiple correlation
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    Answer B. Phi coefficient

    Phi is for two true dichotomies; tetrachoric for two artificial ones; biserial and point-biserial when one variable is continuous.

    Source: Medha AI, based on BRAOU B.Ed/Psychology textbooks (HWO Paper II)

  3. Q11 HWO Paper II Mock 1, Q84

    The correlation between scores on an entrance test and pupils' later grades is called the test's

    1. Areliability coefficient
    2. Bcoefficient of variation
    3. Cdifficulty index
    4. Dvalidity coefficient
    Show answerHide answer

    Answer D. validity coefficient

    A validity coefficient is r between test scores and a criterion such as grades; it is usually lower than a reliability coefficient.

    Source: Medha AI, based on BRAOU B.Ed/Psychology textbooks (HWO Paper II)

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