Techniques to analyse data

What is the lesson's approach to data analysis?

• To ignore data

• To use effective techniques

• To guess the results

• To avoid analysis

Answer explanation

The lesson emphasizes using effective techniques for data analysis, which helps in deriving accurate insights and making informed decisions, rather than ignoring data, guessing, or avoiding analysis.

What is the purpose of representative values in data analysis?

• To present findings and justify recommendations

• To increase the size of the dataset

• To eliminate outliers from the dataset

• To convert qualitative data to quantitative data

Answer explanation

Representative values summarize data, making it easier to present findings and justify recommendations. They help convey insights effectively, unlike increasing dataset size or eliminating outliers.

What is raw data?

• The average of all values

• The middle value in a set

• The most common value

• The original data collected before analysis

Answer explanation

Raw data refers to the original data collected before any analysis or processing. It is unprocessed and represents the initial observations or measurements, unlike averages, medians, or modes which are derived from it.

What is the result of dividing 52 by 10?

• 5.0

• 5.1

• 5.2

• 5.3

Answer explanation

Dividing 52 by 10 gives 5.2. This is because 52 divided by 10 equals 5 with a remainder of 2, which can be expressed as 5.2 in decimal form. Therefore, the correct answer is 5.2.

What is the numerical order of the raw data: 5, 2, 6, 8, 6, 7, 2, 4, 9, 3?

• 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

• 1, 2, 3, 4, 5, 6, 7, 8, 9

• 2, 2, 3, 4, 5, 6, 6, 7, 8, 9

• 3, 4, 5, 6, 7, 8, 9, 10

Answer explanation

To arrange the raw data 5, 2, 6, 8, 6, 7, 2, 4, 9, 3 in numerical order, we sort the numbers, resulting in 2, 2, 3, 4, 5, 6, 6, 7, 8, 9, which matches the correct answer choice.

What is the mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5?

• 1

• 2

• 3

• 4

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, the number 4 appears three times, more than any other number, making it the mode of the data set.

What is the mode of the data set: 10, 10, 20, 20, 30, 30, 30?

• 10

• 20

• 30

• 10 and 20

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, 30 appears three times, more than any other number. Therefore, the mode of the data set is 30.

What should you be careful to identify in a data set to avoid drawing the wrong conclusion?

• Mean values

• Outliers

• Median values

• Mode values

Answer explanation

Outliers can significantly skew results and lead to incorrect conclusions. Identifying them helps ensure that the analysis reflects the true nature of the data, making 'Outliers' the critical aspect to consider.

Why is it important to identify outliers in a data set?

• They are the most common values

• They can influence the average and lead to wrong conclusions

• They are always incorrect

• They are the least important values

Answer explanation

Identifying outliers is crucial because they can skew the average, leading to misleading conclusions about the data set. This can affect decision-making and analysis, making the correct choice "They can influence the average and lead to wrong conclusions."

What is the term for the extent to which values in a data set vary?

• Trend

• Dispersion

• Sample

• Average

Answer explanation

The term 'dispersion' refers to the extent to which values in a data set vary. It measures how spread out the values are, unlike 'trend', 'sample', or 'average', which describe different statistical concepts.