Flashcards on Calculating the Mean of Ungrouped Data

Calculating the Mean of Ungrouped Data: A Simple Guide

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What is 'data' in statistics as described here?

A collection of elements or observations, such as marks of learners or distances run daily by an athlete.

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Descriptive Statistics (Ungrouped Data)

10 cards

Card 1

Question: What is 'data' in statistics as described here?

Answer: A collection of elements or observations, such as marks of learners or distances run daily by an athlete.

Card 2

Question: In the example, what does each mark represent?

Answer: Each mark is an element or observation in the data set.

Card 3

Question: What does 'n' represent in a data set?

Answer: The number of elements in the data; also called the sample size or sample space.

Card 4

Question: What is the sample size for Mrs Anna's class of learners who wrote the test?

Answer: n = 23, because 23 marks were recorded.

Card 5

Question: What is ungrouped data?

Answer: Raw data that is not recorded in groups or intervals.

Card 6

Question: Why is Mrs Anna's data considered ungrouped?

Answer: Because the marks are recorded individually and not grouped into intervals.

Card 7

Question: State one advantage of having ungrouped data mentioned in the content.

Answer: We can calculate its exact mean.

Card 8

Question: What is the mean (x̄) in descriptive statistics?

Answer: The average of all the elements in the data.

Card 9

Question: Give the formula for the mean of ungrouped data.

Answer: x̄ = (Σ_{i=1}^n x_i) / n, where x_i is the ith element and n is the sample size.

Card 10

Question: How do you calculate the mean for ungrouped data in words?

Answer: Add all the elements in the data and divide by the number of elements (n).