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Bootcamp for Question Type 4: Finding the value of the frequency of a specific class with some condition on mean, median or mode - IB | RevisionDojo

Question 1

Skill question

The table shows a discrete distribution of scores. Find the missing frequency $x$ if the mean score is $59$ .

Score	Frequency
40	3
50	7
60	x
70	5
80	3

Question 2

Skill question

The table shows grouped heights (cm). Find the missing frequency $x$ if the mean height is $40$ cm. Use class midpoints.

Height (cm)	Frequency
15–25	3
25–35	x
35–45	8
45–55	6
55–65	3

Question 3

Skill question

The table shows grouped exam scores. Find the missing frequency $x$ if the mean score is $70$ (use class midpoints).

Score	Frequency
50–60	6
60–70	x
70–80	9
80–90	5

Question 4

Skill question

The following grouped data shows times (in minutes). Find the missing frequency $x$ if the mean time is $24$ minutes. Use class midpoints.

Time (min)	Frequency
0–10	4
10–20	6
20–30	x
30–40	5
40–50	3

Question 5

Skill question

The table shows a discrete distribution of incomes. Find the missing frequency $x$ if the mean income is $37$ .

Income	Frequency
15	2
25	5
35	x
45	4
55	3
65	1

Question 6

Skill question

The table shows a discrete distribution of ratings. Find the missing frequency $x$ if the mean rating is $2.9$ .

Rating	Frequency
1	4
2	7
3	x
4	5
5	2

Question 7

Skill question

The table shows grouped commute times (minutes). Find the missing frequency $x$ if the median commute time is $25$ minutes.

Time (min)	Frequency
0–10	x
10–20	8
20–30	12
30–40	10

Question 8

Skill question

The table shows grouped travel distances (km). Find the missing frequency $x$ if the median distance is $148$ km.

Distance (km)	Frequency
100–120	5
120–140	9
140–160	x
160–180	7
180–200	5

Question 9

Skill question

The table shows grouped ages. Find the missing frequency $x$ if the median age is $33$ years.

Age (years)	Frequency
10–20	5
20–30	3
30–40	x
40–50	4

Question 10

Skill question

The table shows grouped repair costs ($$). Find the missing frequency $x$ if the mode is $25$ .

Cost ($$)	Frequency
10–20	6
20–30	11
30–40	x
40–50	4

Question 11

Skill question

The table shows grouped weekly expenses. Find the missing frequency $x$ if the modal class midpoint is $47$ .

Expense ($)	Frequency
30–40	8
40–50	x
50–60	12
60–70	6

Question 12

Skill question

The grouped frequency table shows weights (kg). Find the missing frequency $x$ if the modal weight is $24$ kg.

Weight (kg)	Frequency
0–10	5
10–20	7
20–30	x
30–40	6
40–50	4

Question Type 4: Finding the value of the frequency of a specific class with some condition on mean, median or mode Bootcamps