**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**

**CHOOSE THE BEST ANSWER**

**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 2 ^{1},2^{2},2^{3},…2^{n} ?**

a) 2^{1 / n} b) 2^{2 / n + 1} c) 2 ^{n+1 /2} d) none of these