Mean and Mode MCQ Quiz - Objective Question with Answer for Mean and Mode - Download Free PDF
Last updated on May 19, 2025
Latest Mean and Mode MCQ Objective Questions
Mean and Mode Question 1:
Study the following graph carefully and answer the given questions.
The bar graph shows the number of days taken by five different toy companies in manufacturing 5000 units of toys individually.
What is the difference in number of toys manufactured by company P and Q in 32 days?
Answer (Detailed Solution Below)
Mean and Mode Question 1 Detailed Solution
Given:
The bar graph shows the number of days taken by five different toy companies to manufacture 5000 units of toys individually.
Company P takes 10 days to manufacture 5000 toys.
Company Q takes 16 days to manufacture 5000 toys.
We need to find the difference in the number of toys manufactured by company P and Q in 32 days.
Formula used:
Number of toys manufactured per day = Total number of toys / Number of days taken
Total number of toys manufactured in a given number of days = Number of toys manufactured per day × Number of days
Difference in the number of toys manufactured = |(Number of toys manufactured by company P) - (Number of toys manufactured by company Q)|
Calculation:
Number of toys manufactured by company P per day = 5000 / 10 = 500 toys/day
Number of toys manufactured by company P in 32 days = 500 × 32 = 16000 toys
Number of toys manufactured by company Q per day = 5000 / 16 = 312.5 toys/day
Number of toys manufactured by company Q in 32 days = 312.5 × 32 = 10000 toys
Difference in the number of toys manufactured by company P and Q in 32 days = |16000 - 10000|
Difference = 6000 toys
∴ The difference in the number of toys manufactured by company P and Q in 32 days is 6000.
Mean and Mode Question 2:
Following data shows the number of wickets taken by a player in last 11 matches played by him/her :
1, 0, 2, 4, 0, 3, 1, 1, 2, 4, 1
What is the difference between the mean and mode of the above data?
Answer (Detailed Solution Below)
Mean and Mode Question 2 Detailed Solution
Given Data:
Number of wickets taken in last 11 matches:
1, 0, 2, 4, 0, 3, 1, 1, 2, 4, 1
Step 1: Calculate the Mean
Mean = (Sum of all values) / (Number of values)
Sum = 1 + 0 + 2 + 4 + 0 + 3 + 1 + 1 + 2 + 4 + 1 = 19
Number of matches = 11
Mean = \(\frac{19}{11} \approx 1.727\)
Step 2: Determine the Mode
Mode = Most frequently occurring value
Frequency count:
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 2 times
- 3 appears 1 time
- 4 appears 2 times
Mode = \(1\) (highest frequency)
Step 3: Calculate the Difference
Difference = Mean - Mode
= 1.727 - 1 = 0.727
Top Mean and Mode MCQ Objective Questions
Mean and Mode Question 3:
Study the following graph carefully and answer the given questions.
The bar graph shows the number of days taken by five different toy companies in manufacturing 5000 units of toys individually.
What is the difference in number of toys manufactured by company P and Q in 32 days?
Answer (Detailed Solution Below)
Mean and Mode Question 3 Detailed Solution
Given:
The bar graph shows the number of days taken by five different toy companies to manufacture 5000 units of toys individually.
Company P takes 10 days to manufacture 5000 toys.
Company Q takes 16 days to manufacture 5000 toys.
We need to find the difference in the number of toys manufactured by company P and Q in 32 days.
Formula used:
Number of toys manufactured per day = Total number of toys / Number of days taken
Total number of toys manufactured in a given number of days = Number of toys manufactured per day × Number of days
Difference in the number of toys manufactured = |(Number of toys manufactured by company P) - (Number of toys manufactured by company Q)|
Calculation:
Number of toys manufactured by company P per day = 5000 / 10 = 500 toys/day
Number of toys manufactured by company P in 32 days = 500 × 32 = 16000 toys
Number of toys manufactured by company Q per day = 5000 / 16 = 312.5 toys/day
Number of toys manufactured by company Q in 32 days = 312.5 × 32 = 10000 toys
Difference in the number of toys manufactured by company P and Q in 32 days = |16000 - 10000|
Difference = 6000 toys
∴ The difference in the number of toys manufactured by company P and Q in 32 days is 6000.
Mean and Mode Question 4:
Following data shows the number of wickets taken by a player in last 11 matches played by him/her :
1, 0, 2, 4, 0, 3, 1, 1, 2, 4, 1
What is the difference between the mean and mode of the above data?
Answer (Detailed Solution Below)
Mean and Mode Question 4 Detailed Solution
Given Data:
Number of wickets taken in last 11 matches:
1, 0, 2, 4, 0, 3, 1, 1, 2, 4, 1
Step 1: Calculate the Mean
Mean = (Sum of all values) / (Number of values)
Sum = 1 + 0 + 2 + 4 + 0 + 3 + 1 + 1 + 2 + 4 + 1 = 19
Number of matches = 11
Mean = \(\frac{19}{11} \approx 1.727\)
Step 2: Determine the Mode
Mode = Most frequently occurring value
Frequency count:
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 2 times
- 3 appears 1 time
- 4 appears 2 times
Mode = \(1\) (highest frequency)
Step 3: Calculate the Difference
Difference = Mean - Mode
= 1.727 - 1 = 0.727