 # CA Foundation (Paper 3) Business Maths and Statistics 12

NATIONAL MANAGEMENT COLLEGE, THUDUPATHI.

REVISION  TEST – 12       (15.04.22)

PAPER : 3- BUSINESS MATHEMATICS,LOGICAL REASONING AND STATISTICS

TIME  :1/2 HOUR

CLASS  : CA – FOUNDATION                                       MARKS :25 X 1 =25

Measures of central tendency for a given set of observations gives

a) The most representative value

b) the central location of the observations

c) a & b

d) none of these

2.For open-end classification, which of the following is the best measure of central tendency?

(a) AM (b) GM  (c) Median  (d) Mode

The presence of extreme observations does not affect

(a) AM  (b) Median (c) Mode (d) Any of these

4.Which of the following results hold for a set of distinct positive observations?

(a) AM ≥ GM ≥HM (b) HM ≥ GM ≥ AM

(c) AM > GM > HM (d) GM > AM > HM

What is the GM for the numbers 8, 24 and 40?

(a) 24 (b) 12  (c) 8.  (d) 10

For the following incomplete distribution of marks of 100 pupils, median mark is known to be 32.

Marks: 0–10  10–20   20–30   30–40 40–50    50–60

No. of Students: 10     –       25           30         –           10

What is the mean mark?

(a) 32  (b) 31  (c) 31.30 (d) 31.50

The mean of 10 items was 70. Later on it was found out that one item 92 was misread as 29. What was the correct mean?

a)  76.3 b) 70 c) 18.7 d) 63.78

Calculate arithmetic mean from the following data: (Using assume mean method)

X Less than 10   Less than 20  Less than 30  Less than 40 Less than 50

f 5 15 55 75 100

a) 50 b) 40 c) 30 d) 20

The weights of 8 boys in kilograms: 45, 39, 53, 45, 43, 48, 50, 45. Find the median.

a) 39 b) 43 c) 45 d) 50

The median and mode for a given data set are 56 and 54 respectively. Find the approximate value of the mean for this data set.

a) 54 b) 55 c) 56 d) 57

The most suitable average for qualitative measurement is

a) Arithmetic mean

b) Median

c) Geometric mean

d) None of these

The algebraic sum of deviation of a set of n values from AM is

a) n

b) 0

c) 1

d) None of these

Simple average is sometimes called

(a) weighted average (b) unweighted average

(c) relative average  (d) none

When a frequency distribution is given, the frequencies themselves treated as weights.

(a) True  (b) false  (c) both  (d) none

Median of variable x is 25. What is the median of variable y =?

a) 100            b) 31.25             c) 25             d) none of these

Median of  observations  a +1,a – 7, a – 5 ,a +5, a + 3 is 5 then what is the value of a ?

a) 5            b) 4                       c) 6                d) none of these

Find the HM for the following data:

x: 2  4  8  16

f:  2  3 3 2

a) 2.22 b) 3.33 c) 4.44 d) 5.55

Which of the following measure of the central tendency is difficult to compute?

(a) Mean  (b) Median (c) Mode (d) GM

Which measure(s) of central tendency is(are) considered for finding the average rates?

(a) AM  (b) GM (c) HM  (d) Both (b) and (c)

Mode of variable x is 20. What is the mode of variable x + 3y + 40 = 0 ?

a) 20 b) 180 c) -20 d) none of these.

Logarithm of G.M is the ——————— of logarithms of the different values.

(a) weighted mean  (b) simple mean (c) both  (d) none

—————— is not much affected by fluctuations of sampling.

(a) A.M  (b) G.M  (c) H.M (d) none

—————— is used when rate of growth or decline required.

(a) mode (b) A.M (c) G.M (d) none

In finding ————, the distribution has open-end classes.

(a) median (b) mean (c) standard deviation (d) none

25.what is the geometric mean of  21,22,23,…2n ?

a) 21 / n b) 22 / n + 1 c) 2 n+1 /2 d) none of these 