Statistics Practice 2: Median Of Grouped Data

Practise focused skills from Statistics

MathematicsGrade 10Mixed10 questions20 min

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Cumulative Frequency · 5 questionsMedian Formula · 5 questions

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Cumulative Frequency

Build and interpret cumulative frequency.

Choose the best answer for each question.

Question 1

MediumQuestion

In step-deviation method, if $a=35$ , class width $h=10$ , $\sum f_i u_i=18$ and $\sum f_i=30$ , what is the mean?

Topic: Mean · Skill: Compute mean by step-deviation method

Question 2

AdvancedQuestion

Why is step-deviation method convenient when all class widths are equal?

Topic: Mean · Skill: Compute mean by step-deviation method

Question 3

EasyQuestion

Frequencies are $3,5,8,4$ . What are the less-than cumulative frequencies?

Topic: Median · Skill: Find cumulative frequencies

Question 4

MediumQuestion

In a grouped table, why do we calculate cumulative frequency before finding the median?

Topic: Median · Skill: Find cumulative frequencies

Question 5

MediumQuestion

If $N=50$ , then the median class is the class whose cumulative frequency first becomes at least:

Topic: Median · Skill: Identify median class

What this assignment covers

Use cumulative frequencies and the grouped median formula.

Skills and sections

Compute mean by step-deviation method, Find cumulative frequencies, Identify median class, Compute median of grouped data, Compare mean, median and mode

Cumulative Frequency: 5 questions
Median Formula: 5 questions