Statistics: Averages from Frequency Tables

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Questions and Answers

What is the mode of the transportation methods used by the pupils?

  • Car and Walk
  • 11 (correct)
  • 9
  • Bus

The mean number of pets owned by the group is 3.5.

False (B)

How many children are there attending the after-school club?

40

The range of the number of books read by some children in a month is _____ .

<p>3</p> Signup and view all the answers

Match the data set with its corresponding mode:

<p>Pets Owned = 2 Books Read = 5 Goals Scored = 0 Points Scored = no mode</p> Signup and view all the answers

In the scenario of goals scored by the football team, what was the total number of goals scored?

<p>38 (D)</p> Signup and view all the answers

The mode number of goals per match is 4.

<p>False (B)</p> Signup and view all the answers

What is the mean number of goals per match?

<p>2.38</p> Signup and view all the answers

Flashcards

Mode

The most frequent value in a data set.

Mean

The average of a set of numbers, calculated by summing all values and dividing by the total count.

Range

The difference between the highest and lowest values in a data set.

Frequency table

A table showing the number of times each value in a data set appears.

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Finding the total count (exercise 3)

This involves adding the frequencies from the table.

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Finding the mean (exercise 3)

Calculate the average age by multiplying each age by its frequency, summing the results, and then dividing by the total count.

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Modal Age (exercise 3)

The age that appears most frequently in the given data.

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Finding the total number of matches (exercise 4)

Add up all the frequencies in the table for the goals scored.

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Study Notes

Exercise: Averages from Frequency Tables

  • Question 1: A table shows pupil transportation modes. The mode is the most frequent value. Identify the mode.
  • Question 2a: Find the mode, mean, and range of pets owned.
    • Data set: Number of pets and their corresponding frequencies.
    • Mode: 1 (pet)
    • Mean: 1.15
    • Range: 3
  • Question 2b: Find the mode, mean, and range of books read.
    • Data set: Number of books and frequencies.
    • Mode: 2 and 6
    • Mean: 3.77
    • Range: 6
  • Question 2c: Find the mode, mean, and range of points scored.
    • Data set: Points and frequency.
    • Mode: No mode
    • Mean: 7.7
    • Range: 6
  • Question 2d: Find the mode, mean, and range of pupils per class.
    • Data set: Number of pupils and frequencies.
    • Mode: No mode
    • Mean: 20.5
    • Range: 3

Question 3: Ages of Children in an After-School Club

  • A table displays ages and frequencies.
    • Calculate the total number of children.
    • Calculate the mean age.
    • Identify the modal age.

Question 4: Football Goals Scored

  • A table details goals scored in matches.
    • Calculate the total number of matches.
    • Calculate the total number of goals scored.
    • Determine the mean number of goals per match.
    • Find the modal number of goals.
    • Calculate the range of goals per match.

Question 5: Breath-Holding Time

  • A grouped frequency table displays breath-holding times.
    • Complete the mid-interval values.
    • Estimate the mean time.
    • Identify the modal group.

Question 6: Distances Walked for Charity

  • A grouped frequency table shows distances walked.
    • Determine the mid-interval values.
    • Estimate the mean distance.
    • Identify the modal group.

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