Explore Exams
Login Signup
Sign in Open App
All Exams  >   Year 5  >   Year 5 Mathematics IGCSE (Cambridge)  >   All Questions

All questions of Statistical methods, Mode and Median for Year 5 Exam

If a data set has values of 3, 5, 7, 7, and 10, what is the mode?
  • a)
    7
  • b)
    10
  • c)
    5
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?

Tutorpedia Coaching answered
The mode is the value that appears most frequently in the data set. In this case, the number 7 appears twice, while all other numbers appear once. Thus, the mode is 7. Identifying the mode can be particularly helpful in fields like market research, where understanding the most common preferences can inform business strategies.
Clear all your doubts with EduRev

Why might it be beneficial to use visual aids like waffle diagrams over traditional bar charts?
  • a)
    They are easier to understand for all audiences.
  • b)
    They can display more data points.
  • c)
    They take less time to create.
  • d)
    They emphasize the equal parts of the whole, making percentages more intuitive.
Correct answer is option 'D'. Can you explain this answer?

Stoneridge Institute answered
Waffle diagrams provide a unique advantage by visually emphasizing equal parts of the whole, which can make understanding percentages more intuitive compared to bar charts. This can help viewers quickly grasp how different components contribute to the overall total, enhancing their comprehension of proportional data.

What is the main distinction between mode and median?
  • a)
    Mode indicates the most frequent value, while median indicates the central value.
  • b)
    Mode is always higher than the median.
  • c)
    Mode can only be used for numerical data.
  • d)
    Median requires data to be ordered, while mode does not.
Correct answer is option 'A'. Can you explain this answer?

Vp Classes answered
The mode identifies the most frequently occurring value in a data set, whereas the median represents the middle value when the data is ordered. This distinction is crucial in understanding different measures of central tendency and how they can present different insights depending on the data distribution.

If the frequency of various hobbies is as follows: Swimming: 5, Video games: 2, Skate park: 1, Reading: 2, Soccer: 10, what is the proportion of people who prefer soccer?
  • a)
    75%
  • b)
    10%
  • c)
    25%
  • d)
    50%
Correct answer is option 'D'. Can you explain this answer?

Edgy Education answered
To find the proportion of people who prefer soccer, divide the number of soccer enthusiasts (10) by the total number of respondents (20). Thus, the proportion for soccer is 10/20, which simplifies to 0.5 or 50%. This illustrates how proportions can provide insights into preferences and help in understanding trends within a population.

What does a proportion represent in a data set?
  • a)
    The average value
  • b)
    A part of a whole
  • c)
    The sum of all values
  • d)
    The most frequently occurring value
Correct answer is option 'B'. Can you explain this answer?

Stoneridge Institute answered
A proportion describes how a part relates to the whole and is often expressed as a fraction, decimal, or percentage. For example, if you have 20 total votes and 10 are for soccer, the proportion of votes for soccer would be 10/20, which equals 0.5 or 50%. Understanding proportions is crucial in statistics as it helps in comparing different parts of a data set relative to the total.

What is the mode of the data set 2, 2, 11, 9, 12?
  • a)
    2
  • b)
    9
  • c)
    11
  • d)
    12
Correct answer is option 'A'. Can you explain this answer?

Vp Classes answered
The mode is defined as the value that appears most frequently in a data set. In the sequence 2, 2, 11, 9, 12, the number 2 occurs twice, while all other numbers occur only once. Therefore, the mode is 2. An interesting fact about the mode is that it can be used for qualitative data as well, which is not the case for median or mean.

How is the median of the data set 2, 2, 11, 9, 12 determined?
  • a)
    It is the average of the two middle numbers.
  • b)
    It is the middle value after ordering the data.
  • c)
    It is the lowest number in the data set.
  • d)
    It is the highest number in the data set.
Correct answer is option 'B'. Can you explain this answer?

Stoneridge Institute answered
To find the median, the numbers must first be arranged in ascending order: 2, 2, 9, 11, 12. The median is the middle value, which in this case is 9. This middle value divides the data into two equal halves, providing insight into the central tendency of the data set.

What is the mode in the data set consisting of the numbers 2, 2, 11, 9, and 12?
  • a)
    2
  • b)
    11
  • c)
    12
  • d)
    9
Correct answer is option 'A'. Can you explain this answer?

Tutorpedia Coaching answered
The mode is defined as the value that appears most frequently in a data set. In this case, the number 2 appears twice, while all other numbers appear only once. Therefore, the mode of the data set is 2. Interestingly, in some data sets, there can be more than one mode (bimodal or multimodal), but in this example, 2 is the only mode.

What is the median of the data set 8, 3, 5, 12, 7 when ordered from least to greatest?
  • a)
    12
  • b)
    7
  • c)
    5
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?

Yashina Kapoor answered
First, arrange the data in ascending order: 3, 5, 7, 8, 12. The median is the middle value, which in this case is 7. The median is a robust measure of central tendency, particularly useful when data sets contain outliers, as it is less affected by extreme values than the mean.

In a waffle diagram representing 20 squares, how many squares would represent 15% of the total?
  • a)
    2 squares
  • b)
    4 squares
  • c)
    3 squares
  • d)
    5 squares
Correct answer is option 'C'. Can you explain this answer?

Freak Artworks answered
In a waffle diagram with 20 squares, each square represents 5% of the total (since 100% divided by 20 squares equals 5%). To represent 15%, you would need 3 squares, because 3 squares x 5% = 15%. Waffle diagrams are particularly effective for visually demonstrating how different parts contribute to the whole and can sometimes make data easier to interpret than traditional bar charts.

If a hobby survey shows Soccer has a frequency of 10 out of a total of 20, what is the proportion of votes for Soccer?
  • a)
    25%
  • b)
    10%
  • c)
    75%
  • d)
    50%
Correct answer is option 'D'. Can you explain this answer?

Tutorpedia Coaching answered
The proportion for Soccer can be calculated by dividing the frequency of Soccer (10) by the total number of responses (20), resulting in 10/20, which simplifies to 1/2 or 50%. This calculation demonstrates how to express parts of a whole as percentages, a useful skill in data analysis.

When the data set 2, 2, 11, 9, 12 is ordered from least to greatest, what is the median?
  • a)
    12
  • b)
    9
  • c)
    11
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?

Stoneridge Institute answered
To find the median, the data set must first be arranged in ascending order: 2, 2, 9, 11, 12. The median is the middle number, which is 9 in this case, as there are two values on either side of it. The median is a useful measure of central tendency, especially in skewed distributions where the mean might not accurately represent the center.

What does it mean if the mode and median of a data set are significantly different?
  • a)
    The data set has a normal distribution.
  • b)
    The data set is too small to analyze.
  • c)
    The data set may be skewed or have multiple modes.
  • d)
    The data set has no outliers.
Correct answer is option 'C'. Can you explain this answer?

Stoneridge Institute answered
If the mode and median differ significantly, it may indicate that the data set is skewed or has multiple modes. This situation often arises in distributions that are not symmetrical, suggesting that the data contains outliers or clusters that affect the central tendency measures differently.

What does a waffle diagram represent?
  • a)
    The ranking of data points.
  • b)
    The trend of data over time.
  • c)
    The part of a whole using a grid format.
  • d)
    The relationship between two variables.
Correct answer is option 'C'. Can you explain this answer?

Indu Gupta answered
A waffle diagram visually represents proportions using a grid format, where each square corresponds to a specific fraction of the whole. This helps in visually understanding the distribution of different categories, making it easier for viewers to grasp the proportionate relationships.

In a data set where the frequencies of hobbies are Swimming: 5, Video games: 2, Skate park: 1, Reading: 2, and Soccer: 10, what is the proportion of Swimming?
  • a)
    50%
  • b)
    25%
  • c)
    10%
  • d)
    15%
Correct answer is option 'B'. Can you explain this answer?

Tutorpedia Coaching answered
To find the proportion of Swimming, divide the frequency of Swimming (5) by the total frequency (20), resulting in 5/20, which simplifies to 25%. This method of calculating proportions is a fundamental concept in statistics, often used in survey analysis.

Chapter doubts & questions for Statistical methods, Mode and Median - Year 5 Mathematics IGCSE (Cambridge) 2025 is part of Year 5 exam preparation. The chapters have been prepared according to the Year 5 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Year 5 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Statistical methods, Mode and Median - Year 5 Mathematics IGCSE (Cambridge) in English & Hindi are available as part of Year 5 exam. Download more important topics, notes, lectures and mock test series for Year 5 Exam by signing up for free.

Top Courses Year 5

© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup