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Statistics Practice 3: Mode and Interpretation

Mode Skills

Question 1mcq
In the frequency table 010:5,1020:12,2030:80-10:5, 10-20:12, 20-30:8, what is the modal class?
A.0100-10
B.203020-30
C.0300-30
D.102010-20
Question 2mcq
Why should a bimodal table be handled carefully when using the grouped mode formula?
A.The class width becomes zero.
B.Cumulative frequency is not allowed.
C.There may not be a single clear modal class.
D.The mean cannot be calculated.
Question 3mcq
For modal class data l=20l=20, f1=18f_1=18, f0=10f_0=10, f2=14f_2=14, h=6h=6, what is the mode?
A.3030
B.2424
C.2020
D.2626
Question 4mcq
In the grouped mode formula, what is f1f_1?
A.Frequency of the modal class
B.Frequency before the modal class
C.Frequency after the modal class
D.Total frequency

Applications and Errors

Question 5mcq
A teacher wants the most common score range in a test. Which measure is most useful?
A.Mean
B.Median
C.Class mark
D.Mode
Question 6mcq
A survey records daily screen time of students in class intervals. Which method can estimate average screen time?
A.Pythagoras theorem
B.Complement rule
C.Grouped mean using class marks and frequencies
D.Area of a circle
Question 7mcq
A wage table uses intervals 100200,200300,300400100-200,200-300,300-400 with frequencies. What does the mean represent?
A.Class width only
B.Estimated average wage
C.Highest wage only
D.Number of intervals
Question 8mcq
A student forgets to multiply class marks by frequencies while finding mean. What is the issue?
A.The mean ignores how many observations are in each class.
B.The class width becomes negative.
C.Median class cannot be found.
D.The modal class disappears.
Question 9mcq
Which detail is needed to understand whether intervals 010,1020,20300-10,10-20,20-30 are equal-width classes?
A.The largest frequency only
B.The modal class only
C.The number of students absent
D.The difference between consecutive class limits
Question 10mcq
For equal class widths and class marks such as 105,115,125,135105,115,125,135, which mean method can reduce calculation most?
A.Median formula
B.Mode formula
C.Step-deviation method
D.Direct method only