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Ghana Christian International High School

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GHANA CHRISTIAN INTERNATIONAL HIGH SCHOOL

PROGRESSIVE 1
STATISTICS
15TH MAY, 2023
CLASSES: 11G1 & 11G3

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PROGRESSIVE 1
All questions are compulsory. Questions are to be answered in your graph book.
1. The table below shows the number of students who offer certain subjects in a school.

Subject Number of students


Mathematics 45
Physics 39
Chemistry 28
Biology 14
Economics 36
History 18

i. Draw a pie chart to illustrate the data.


ii. What percentage of students offer Economics?

2. The table gives the scores of 50 students in a test.


Scores 5-9 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34 35 – 39
No. of 4 5 12 16 7 4 2
students

Calculate, correct to one decimal place, the mean deviation of the distribution.

3. The table below shows the distribution of marks obtained by students in an examination.
Marks Frequency
11-20 5
21-30 21
31-40 15
41-50 43
51-60 10
61-70 14
71-80 7
81-90 3
91-100 2

a. Draw a histogram to represent the above data.


b. Use your histogram to estimate the mode.

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4. The scores of students in a test were recorded as follows:
4 2 1 6 5
3 5 6 1 2
1 5 5 6 3
4 3 5 1 5
i. Construct a frequency distribution table.
ii. Represent the information in a bar chart.
iii. Calculate the interquartile range

5. The table shows the distribution of marks scored by 500 candidates in an examination.

Marks 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99

Frequency 10 28 40 92 y+60 90 50 30 15 5

a. Find the value of y.


b. Construct a cumulative frequency table and use it to draw a cumulative frequency curve.
c. Find the 80th percentile of the cumulative frequency curve.

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