KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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The end of term test scores of 100 students were recorded as shown in the following table.29/12/2023 QUESTION 21  KCSE 2023  STATISTICS I  PAPER 1  FORM 2 LEVELThe end of term test scores of 100 students were recorded as shown in the following table.
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QUESTION 14  KCSE 2023  Statistics I  PAPER 1  FORM 2 LEVELIn a sub county the number of children per family was recorded from 30 families. The data recorded is as follows: (a) Represent the data in a frequency distribution table. (1 mark)
(b) Calculate the mean number of children per family. (2 marks) QUESTION 23  KCSE 2021  STATISTICS I  PAPER 1  FORM 2 LEVELThe masses of 40 adults who attended a health clinic were recorded as follows. (a) Complete the frequency distribution table below for the above information. Use classes of size 5 starting with the class 40  44. (4 marks) (b) State the modal class. (1 mark)
(c) Estimate: (i) the mean mass. (2 marks) (ii) the median mass. (3 marks) QUESTION 15  KCSE 2022  STATISTICS I  PAPER 1  FORM 2 LEVELThe table below shows the mean marks in a mathematics test of two classes. Calculate, correct to 2 decimal places, the mean mark of the classes.
THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUBCOUNTY WERE RECORDED AS FOLLOWS:
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 22
The height of tree seedlings in a nursery were measured and recorded as in the table below11/5/2023 The height of tree seedlings in a nursery were measured and recorded as in the table belowThe table below shows the number of goals scored in 40 soccer matches during a certain season.19/11/2021 The table below shows the number of goals scored in 40 soccer matches during a certain season.Calculate the mean number of goals scored per match. (3mks)Worked Solution
Form 4 MathematicsForm 2 Mathematics
The masses, in kilograms, of patients who attended a clinic on a certain day were recorded follows.
(a) Starting with the class 35 — 39, make a frequency distribution table for the data.
(b) Calculate: (i) the mean mass; (ii)the median mass (c) On the grid provided below draw a histogram to represent the data Form 2 Mathematics
The masses in kilograms of 20 bags of maize were:
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105. Using an assumed mean of 96 kg, calculate the mean mass, per bag of the maize. Form 2 Mathematics
The production of milk, in litres, of 14 cows on a certain day was recorded as follows:
22, 26, 15, 19, 20, 16,27, 15, 19, 22, 21, 20, 22 and 28. Determine: (a) the mode; (b) the median. Form 2 Mathematics
A students obtained the following marks in four tests during a school term: 60%, 75%, 48% and 66%. The tests were weighted as follows: 2,1, 4 and 3 respectively.
Calculate the students weighed mean mark of the tests Form 2 MathematicsForm 3 MathematicsForm 2 Mathematics
The lengths, in cm, of pencils used by pupils in a standard one class on a certain day were recorded as follows.
(a) Using a class width of 3, and starting with the shortest length of the pencils, make a frequency distribution table for the data.
(b) Calculate: (i) The mean length of the pencils (ii) The percentage of pencils that were longer than 8cm but shorter than 15cm. (c) On the grid provided, draw a frequency polygon for the data Form 3 MathematicsForm 2 Mathematics
The masses in kilograms of 20 bags of maize were;
90, 94, 96, 98, 99, 102, 105, 91, 102, 99, 105, 94, 99, 90, 94, 99, 98, 96, 102 and 105. Using an assumed mean of 96kg, calculate the mean mass, per bag, of the maize. Form 2 MathematicsForm 2 Mathematics
The frequency table below shows the daily wages paid to casual workers by a certain company.
(a) Draw a histogram to represent the above information.
(b) (i) State the class in which the median wage lies. (ii) Draw a vertical line, in the histogram, showing where the median wage lies. (c) Using the histogram, determine the number of workers who earn sh 450 or less per day. Form 2 MathematicsForm 2 MathematicsForm 2 MathematicsForm 2 MathematicsForm 3 Mathematics
A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks. Frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.
(a) (i) Complete the table
(ii) On the grid provided below, draw the histogram (b) (i) State the group in which the median mark lies (ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts Using this information or otherwise, estimate the median mark 
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