Data Analytics
Computer Science · 11th Class (Intermediate Part 1) · BISE Lahore
Tests for this chapter
Tests run in your chosen medium — the sample below shows both.
Data Analytics Test
10 questions · Data Analytics × 10
Full Book Test
20 questions · Introduction to Software Development × 3, Python Programming × 3, Algorithms and Problem Solving × 2, Computational Structures × 2, Data Analytics × 3, Emerging Technologies × 2, Legal and Ethical Aspects of Computing System × 2, Online Research and Digital Literacy × 1, Entrepreneurship in Digital Age × 2
Sample questions
Showing 20 of 70 questions from this chapter. The full bank is in the chapter test below.
- 1
Data analytics is best described as:
- A.Storing large amounts of data in a database
- B.Examining data to find patterns and trends that support decision making (correct answer)
- C.Drawing charts and graphs from a data set
- D.Writing programs to build business websites
Why: Data analytics is the process of examining data to find useful information, patterns and trends so that decisions can be based on evidence. Storing data and drawing charts are supporting activities rather than the definition itself. - 2
Statistics is best described as:
- A.A programming language used to draw charts
- B.A type of database that stores survey responses
- C.A hardware device used to measure data
- D.A branch of mathematics used to collect, summarise and analyse data (correct answer)
Why: Statistics is a branch of mathematics that summarises large sets of information so that conclusions can be drawn. A database may hold the data and a language such as Python may analyse it, but neither of those is statistics itself. - 3
Which one of the following is NOT a measure of central tendency?
- A.Variance (correct answer)
- B.Mean
- C.Median
- D.Mode
Why: Variance measures dispersion, that is how far the values lie from the centre of the data. The three measures of central tendency are the mean, the median and the mode. - 4
What is the mean of the data set 5, 9, 11, 13, 27?
- A.11
- B.12
- C.13 (correct answer)
- D.15
Why: The values add up to 65 and there are five of them, so the mean is 65 / 5 = 13. The value 11 is the median of the set, not the mean. - 5
What is the median of the data set 3, 6, 8, 10, 23?
- A.6
- B.8 (correct answer)
- C.10
- D.12
Why: The values are already in order and there are five of them, so the median is the middle value, 8. The value 10 is the mean of the set. - 6
What is the median of the scores 50, 60, 70 and 80?
- A.60
- B.65 (correct answer)
- C.70
- D.75
Why: With an even number of values the median is the average of the two middle values: (60 + 70) / 2 = 65. Taking 60 or 70 alone would ignore one of the middle pair. - 7
In the scores 50, 60, 70, 70 and 90, what is the mode?
- A.50
- B.60
- C.70 (correct answer)
- D.90
Why: The mode is the value that occurs most often, and 70 appears twice while every other score appears only once. - 8
A quiz gives the scores 50, 60, 70, 70, 60 and 90. Which statement about the mode is correct?
- A.There is no mode because no score occurs three times
- B.There is one mode, 70, because it is the largest repeated score
- C.There is one mode, 60, because it occurs first in the list
- D.There are two modes, 60 and 70 (correct answer)
Why: The scores 60 and 70 each occur twice, which is the highest frequency, so both are modes. A value does not have to occur three times to be a mode. - 9
Which measure of central tendency is affected the most by a single very large value in a data set?
- A.Mode
- B.Mean (correct answer)
- C.Median
- D.All three are affected equally
Why: The mean uses every value in its calculation, so one extreme value pulls it strongly towards that side. The median depends only on the position of the values, so it barely changes. - 10
What is the mean of the data set 3, 5, 8, 8, 10, 12, 15, 15, 16, 18?
- A.10
- B.10.5
- C.11 (correct answer)
- D.12
Why: The values add up to 110 and there are ten of them, so the mean is 110 / 10 = 11. - 11
A data set has a high variance. What does this tell you about the data?
- A.The values are spread far from the mean (correct answer)
- B.All the values are equal to the mean
- C.The mean is larger than the median
- D.The data set contains many repeated values
Why: Variance measures how far the values lie from the mean, so a high variance means the values are widely scattered. Many repeated values would normally cluster the data near the centre instead. - 12
Class A scored 50, 52, 55, 57 and 60 in a test. What is the variance of these scores?
- A.3.54
- B.6.28
- C.12.56 (correct answer)
- D.62.8
Why: The mean is 54.8, the squared deviations from the mean add up to 62.8, and the variance is 62.8 / 5 = 12.56. The value 62.8 is the total of the squared deviations before dividing, and 3.54 is the standard deviation, which is the square root of the variance. - 13
Class B scored 30, 45, 55, 75 and 90 in a test. What is the variance of these scores?
- A.21.31
- B.59
- C.454 (correct answer)
- D.2270
Why: The mean is 59, the squared deviations add up to 2270, and dividing by 5 gives a variance of 454. The value 59 is the mean itself and 2270 is the total before dividing. - 14
Class A has a variance of 12.56 and Class B has a variance of 454. Which conclusion is correct?
- A.Both classes have the same spread of scores
- B.Class A is more spread out because its variance is smaller
- C.Class B is much more spread out because its variance is much larger (correct answer)
- D.Class B must have a higher mean score
Why: A larger variance means the values lie farther from the mean, so Class B's scores are far more scattered. Class A's smaller variance means its scores are packed closely around its mean. - 15
The standard deviation of a data set is:
- A.The square of the variance, expressed in squared units
- B.The difference between the largest and the smallest value
- C.The total of all the values divided by the number of values
- D.The square root of the variance, expressed in the same units as the data (correct answer)
Why: Taking the square root of the variance returns the measure to the original units, which is why the standard deviation is easier to interpret than the variance. - 16
A data set has a variance of 12.56. What is its standard deviation, correct to two decimal places?
- A.1.13
- B.3.54 (correct answer)
- C.6.28
- D.12.56
Why: The standard deviation is the square root of the variance, and the square root of 12.56 is about 3.54. - 17
Which pair of measures describes how spread out a set of homework hours is?
- A.Mean and median
- B.Variance and standard deviation (correct answer)
- C.Median and mode
- D.Mean and mode
Why: Variance and standard deviation both measure dispersion, that is how far the values lie from the mean. Mean, median and mode measure the centre of the data instead. - 18
A fair coin is tossed once. What is the probability of getting heads?
- A.1/4
- B.1/3
- C.1/2 (correct answer)
- D.2/3
Why: There is one favourable outcome out of two equally likely outcomes, so the probability is 1/2, or 50 percent. - 19
How is the probability of an event calculated?
- A.Number of favourable outcomes divided by the total number of outcomes (correct answer)
- B.Total number of outcomes divided by the number of favourable outcomes
- C.Number of favourable outcomes multiplied by the total number of outcomes
- D.Largest outcome minus the smallest outcome
Why: Probability compares the favourable outcomes with all the possible outcomes, so it is the favourable count divided by the total count. Reversing that division would give a value greater than 1 for a coin toss, and a probability can never be greater than 1. - 20
A fair six-sided die is rolled once. What is the probability of getting an even number?
- A.1/6
- B.1/3
- C.1/2 (correct answer)
- D.2/3
Why: The even numbers are 2, 4 and 6, so there are three favourable outcomes out of six, giving 3 / 6 = 1/2.