The mean from a frequency list

Difficulty Standard · Set gi8kyu

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1
In a survey, 8 appeared 6 times, 9 appeared 3 times, 4 appeared 5 times and 10 appeared 1 time. What is the mean value?
2
In a survey, 8 appeared 6 times, 1 appeared 5 times, 16 appeared 1 time and 10 appeared 5 times. What is the mean value?
3
In a survey, 6 appeared 3 times, 1 appeared 4 times, 4 appeared 5 times and 10 appeared 1 time. What is the mean value?
4
In a survey, 1 appeared 2 times, 24 appeared 1 time, 10 appeared 6 times and 11 appeared 4 times. What is the mean value?
5
In a survey, 10 appeared 5 times, 20 appeared 1 time, 3 appeared 2 times and 8 appeared 4 times. What is the mean value?
6
In a survey, 5 appeared 5 times, 8 appeared 1 time, 7 appeared 4 times and 10 appeared 3 times. What is the mean value?
7
In a survey, 7 appeared 5 times, 2 appeared 2 times, 21 appeared 1 time and 9 appeared 4 times. What is the mean value?
8
In a survey, 6 appeared 4 times, 11 appeared 4 times, 12 appeared 1 time and 4 appeared 2 times. What is the mean value?
9
In a survey, 6 appeared 6 times, 13 appeared 1 time, 12 appeared 6 times and 7 appeared 2 times. What is the mean value?
10
In a survey, 4 appeared 6 times, 5 appeared 2 times, 8 appeared 1 time and 3 appeared 6 times. What is the mean value?
11
In a survey, 11 appeared 5 times, 3 appeared 2 times, 2 appeared 5 times and 7 appeared 1 time. What is the mean value?
12
In a survey, 12 appeared 2 times, 2 appeared 2 times, 5 appeared 5 times and 7 appeared 1 time. What is the mean value?
13
In a survey, 1 appeared 4 times, 20 appeared 1 time, 12 appeared 4 times and 8 appeared 3 times. What is the mean value?
14
In a survey, 8 appeared 1 time, 7 appeared 6 times, 4 appeared 4 times and 6 appeared 3 times. What is the mean value?
15
In a survey, 8 appeared 2 times, 2 appeared 4 times, 3 appeared 2 times and 6 appeared 1 time. What is the mean value?
16
In a survey, 1 appeared 1 time, 3 appeared 6 times, 7 appeared 4 times and 9 appeared 2 times. What is the mean value?
17
In a survey, 7 appeared 3 times, 12 appeared 1 time, 3 appeared 5 times and 1 appeared 4 times. What is the mean value?
18
In a survey, 3 appeared 3 times, 12 appeared 5 times, 23 appeared 1 time and 9 appeared 2 times. What is the mean value?
19
In a survey, 4 appeared 3 times, 8 appeared 6 times, 18 appeared 1 time and 5 appeared 4 times. What is the mean value?
20
In a survey, 12 appeared 4 times, 2 appeared 2 times, 4 appeared 3 times and 6 appeared 1 time. What is the mean value?

What is in this set

The numbers in this set run from 1 to 28.
Every problem in it will come as a list of values with how often each one appeared.
A careful solution takes 6 written steps on average.
The mistake this set invites most often, in 100% of the problems: the total was divided by 4, the number of rows.
Answers are a whole number.

Drawing 240 problems from this page produced 240 different ones, 100% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 7 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.

Next to this

The mean of a set of decimals

Numbers 0.05–9.65; every one will average values that are decimals.

The range

Numbers 2–50.

All of averages and range

7 skills in this topic, 21 sets between them.

Printing it

The printed sheet carries no menus and no advertising, and the answer key is on its own page.