TUISYEN KITA | cgnash

PENCETUS BIJAK MATEMATIK

Ulangkaji Mat Tam T4 Statistic

demo suka matematik, kawe suka matematik, kita suka matematik

PAPER 1 - STATISTIC

1 (a) Given the list of numbers 3, 6, 3 and 8.

Find the standard deviation of the numbers.

(b) Find a set of five possible positive integers that

has a mode of 3, a median of 4 and a mean of 5.

[ etc8,7,4,3,3)b(12132)a( ]

2 The mean for the list of numbers

.7 is 3 and 7,12,52,4,2 xxxxxx

Find

(a) the value of x,

(b) the variance.

3 The mean for a set of twenty-five numbers is 24.

(a) If each number in the set increases by 2, find the

new mean of the set.

(b) When two numbers k and k + 2 is taken out from

the set, the new mean is 22, find the value of k. [(a) 26 (b) 46]

4 Table 1 shows the scores obtained by a contestant

in a quiz.

(a) Find the maximum value of k, when the mode is 1.

(b) When the median is 2, find the range of values of k. [(a) 5 (b) k ≥ 6 or k > 5]

5 Table 1 shows the distribution of the scores

acquired by 40 students in a quiz competition.

Determine the inter-quartile range of the distribution.

6. Table 1 shows the distribution of the marks

obtained by students from Form 5 Gamma in a test.

Without using an ogive, find the third quartile of the

distribution [44.25]

7 Table 1 shows the distribution of the marks

obtained by 40 students in a Mathematics test. Find

the third quartile marks of the distribution.

8 The first quartile and the third quartile for a set

of data is 52 and 2 kk respectively. It is given that

the inter-quartile range is 10. Find the value of k. [17]

9 The standard deviation for the set of data

54321 and,,, xxxxx is 32 . Each of the data is then

multiplied by 3. Find the variance for the new set of

data. [ 47.61]

10 The mean for the set of numbers 2, 7, 4, 2, 2,

4, x and y is 4. Find the value of x if the variance for

these numbers is 4

13 . [5 , 6]

11 A set of data contains 9 numbers. The sum of

the numbers is 270 and the sum of the squares of the

numbers is 8 595. Find the mean and the standard

deviation of the 9 numbers.

12 The sum of five given numbers is 50 and the

sum of the squares of the same five numbers is 625.

Calculate mean and the standard deviation of the five

numbers. [ (a) 10 (b) 5]

13 Table 1 shows the distribution of the marks

obtained by a group of students in a test.

Estimate the value of the median of the distribution.

14Table 1 shows the distribution of the ages of a

group of teachers from Kolej Integrasi Mersing

Without using an ogive, estimate the median of the

distribution. [ 33.56]

TUISYEN KITA | cgnash

PENCETUS BIJAK MATEMATIK

Ulangkaji Mat Tam T4 Statistic

demo suka matematik, kawe suka matematik, kita suka matematik

PAPER 2

1. a) Table shows the marks obtained by a group of

students in a test. [60.22]

Without drawing an ogive, calculate the median mark.

b) The mean of a set of number

. Find the value of k and the

variance. [3.6]

2. Table 6 shows the marks obtained by a group of

students in a class.

(a) Given that the median mark of a student is

find the value of k. [k=13]

(b) Calculate the standard deviation of the distribution.

[18.79]

(c) If each marks of the students in the class is

multiplied by 2 and then subtracted by 3. For the new set of

marks, find the standard deviation. [37.58]

3. Table 1 shows the frequency distribution of the scores

of a group of 40 pupils in a quiz.

(a) It is given that the median

score of the distribution is 42, find the value of h

and of k.

(b) State the modal class of the distribution.

[(a) h = 14, k = 7 (b) 30 – 39]

6. Table 6 shows the frequency distribution of the

scores obtained by 500 students in an English essay

writing competition.

(a) Without drawing an ogive, calculate the median score.

(b) State the modal class of the distribution.

(c) Calculate the standard deviation of the distribution.

Give your answer correct to three significant figures.

[(a) 43.25 (b) 40 – 49 (c) 13.6]

4. Table 4 shows the frequency distribution of the scores of

a group of students in a contest.

(a) Without drawing an ogive, find the interquartile

range of the distribution.

(b) Use the graph paper to answer this question

Using a scale of 2 cm to 10 scores on the horizontal

axis and 2 cm to 1 student on the vertical axis, draw a

histogram to represent the frequency distribution of

the scores. Find the mode score.

5 Table 1 shows the distribution of marks obtained by

100 students in a test.

(a) Using a scale of 2 cm to 10 marks on the horizontal

axis and 2 cm to 5 students on the

vertical axis, construct a histogram for the given data

and from the histogram,

estimate the value of mode of the marks of the students.

(b) Without drawing an ogive, calculate the median

mark.