The following are marks scored by form four student in Mathematics test.
Using an assumed mean of 54.5, calculate the a) Mean mark (4mks) b) Variance (4mks) c) Standard deviation (2mks)
PAPER 1, SECTION B, STATISTICS II, FORM 4 LEVEL, 10 MARKS A number of people are asked to cut 20cm lengths of string without measuring. Later 100 pieces are collected and measured correct to the nearest 1/10cm. the data below was collected.
Using 19.7 as a working mean calculate:(a) Mean (4mks)
(b) Standard deviation (5mks)
(c) State the modal class (1mk)
Form 4 Mathematics
The amount of money contributed by a group of students during a fundraising for a needy student was as shown in the table below.
(a) On the grid provided draw an ogive to represent the data.
(b) Use the graph to estimate: (i) The median; (ii) The quartile deviation; (iii) The percentage number of students who contributed at least Ksh 750.50.
answers
Form 4 Mathematics
In a mathematics test, the scores obtained by 30 students were recorded as shown in the table below.
The score K with a frequency of 6 is not given. 
answer
Form 4 MathematicsTwo lines L1 and L2 intersect at a point P. L1 passes through the points (-4,0) and (0,6). Given that L2 has the equation: y = 2x – 2, find, by calculation, the coordinates of P. ( 3 marks)
Answer
Form 4 Mathematics
The table below shows the frequency distribution of heights of 40 plants in a tree nursery.
(a) State the modal class.
(b) Calculate: (i) the mean height of the plants; (ii) the standard deviation of the distribution. (c) Determine the probability that a plant taken at random has a height greater than 40 cm.
answers
Form 4 Mathematics
The mass, in kilograms, of 9 sheep in a pen were: 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.
answer
Form 1 MathematicsSuccessive moving averages of order 5 for the numbers 9,8.2, 6.7,5.4, 4.7 and k are A and B. Given that A – B = 0.6 find the value of k.
Answer
Form 4 MathematicsThe data below shows the masses in grams of 50 potatoes 
(a) On the grid provide, draw a cumulative frequency curve for the data (4mks) (b) Use the graph in (a) above to determine (i) The 60th percentile mass (ii) The percentage of potatoes whose masses lie in the range 53 g to 68g (3mks)
Answer
Form 4 Mathematics
A basket ball team scored the points in 6 matches: 10, 12, 14, 16, 28 and 30. Using an assumed mean of l5. Determine the standard deviation correct to 2 decimal places.
answer
Form 3 Mathematics
The table below shows the ages in years of 60 people who attended a conference.
Calculate
(a)The inter-quartile range of the data (b)The percentage of the people in the conference whose ages were 54.5 years and below.
Answer
Form 2 Mathematics
The frequency table below shows the daily wages paid to casual workers by a certain company
a) In the grid provided, 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 shs 450 or less per day
answers
Form 4 Mathematics
The marks scored by 40 students in a mathematics test were as shown in the table below.
a) Find the lower class boundary of the modal class
b) Using an assumed mean of 64, calculate the mean mark c i) On the grid provided, draw the cumulative frequency curve for the data ii)Use the graph to estimate the semi-interquartile range
answers
Form 4 Mathematics
The table below shows marks scored by 42 students in a test.
a) Starting with the mark of 25 and using equal class intervals of 10, make a frequency distribution table.
b) On the grid provided , draw the ogive for the data c) Using the graph in (b) above , estimate: (i) The median mark (ii) The upper quartile mark
answers
Form 4 Mathematics
The mass of 40 babies in a certain clinic were recorded as follows:
Calculate
(a) The inter – quartile range of the data. (b) The standard deviation of the data using 3.45 as the assumed mean.
aNSWER
Form 2 Mathematics
The table below shows the height, measured to the nearest cm, of 101 pawpaw trees.
(a) State the modal class.
(b) Calculate to 2 decimal places: (i) the mean height; (ii) the difference between the median height and the mean height.
answers
Form 4 Mathematics
The heights, in centimeters, of 100 tree seedlings are shown in the table below.
Find the quartile deviation of the heights.
answer
Form 4 Mathematics
The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
Answer
Form 4 Mathematics
The table below shows the number of goals scored in handball matches during a tournament.
Draw a cumulative frequency curve on the grid provided
b) Using the curve drawn in (a) above determine; i) The median; ii) The number of matches in which goals scored were not more than 37; iii) The inter-quartile range
answers
Form 4 Mathematics
The marks scored by a group of pupils in a mathematics test were as recorded in the table below
a) i) State the modal class
ii) Determine the class in which the median mark lies b) Using an assumed mean of 54.4, calculate the mean mark
answers
Form 4 Mathematics
The table below shows the distribution of marks scored by 60 pupils in a test.
a) On the grid provided, draw an ogive that represents the above information
b) Use the graph to estimate the interquartile range of this information.
answers
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