City Guilds Model Questions Vol1 2018 Information Technology Question 8

Practice objective / multiple choice question 8 from the 2018 City Guilds Model Questions Vol1 Information Technology examination.

City Guilds Model Questions Vol1 2018 Information Technology Objective / Multiple Choice Hard Difficulty
Question 8 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2018 • INFORMATION_TECHNOLOGY • objective

The following grouped data show the scores (out of 100) of 30 students in a mathematics test.\n\n| Score interval | Frequency | |----------------|-----------| | 40 - 49 | 3 | | 50 - 59 | 7 | | 60 - 69 | 10 | | 70 - 79 | 6 | | 80 - 89 | 3 | | 90 - 99 | 1 | \nAssume that each score in a class interval is represented by the class midpoint.\n\n(a) Estimate the mean score.\n(b) Estimate the standard deviation (use the population formula).\n(c) Determine the 75th percentile (P75) using linear interpolation within the appropriate class interval.\n(d) Based on the mean and the median (which you should also estimate), comment on the skewness of the distribution.

Answer Options

Correct Answer A. Mean ≈ 65.17; Standard deviation ≈ 12.36; P75 ≈ 75.4; Distribution is negatively skewed (mean < median).
B. Mean ≈ 62.50; Standard deviation ≈ 13.80; P75 ≈ 73.1; Distribution is symmetric (mean ≈ median).
C. Mean ≈ 70.00; Standard deviation ≈ 10.00; P75 ≈ 80.0; Distribution is negatively skewed (mean > median).
D. Mean ≈ 68.23; Standard deviation ≈ 11.45; P75 ≈ 78.2; Distribution is positively skewed (mean > median).
Correct Answer
A
Correct Option:
Mean ≈ 65.17; Standard deviation ≈ 12.36; P75 ≈ 75.4; Distribution is negatively skewed (mean < median).

About This Question

This is City Guilds Model Questions Vol1 2018 Information Technology Question 8. It is one of the objective questions from the 2018 City Guilds Model Questions Vol1 Information Technology examination.

Difficulty level: Hard .

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