Question

Choose the correct answer

(i) If the mean of five values is 74, find the sum of the values.

(ii) If the mean of five values is 10.2 and four of the values are 8, 10, 7, and 12, find the fifth value.

(iii) Find the mean of 60, 80, 30, 40, and 50. a. Add 10 to each value and find the mean. b. Subtract 10 from each value and find the mean. c. Multiply each value by 10 and find the mean. d. Divide each value by 10 and find the mean. e. Make a general statement about each situation.

(iv) Find midrange of the data -4,-5,-7,-0, -12

(v) Which measures of central tendency cannot be calculated from data set 4,5,7,0, 12.

(vi) Find range of the data -2,-3,-5,-10, -

Answer 1

Ans (i) If the mean of five values is 74, then sum of the values will be mean*5 = 74*5 = 370

(ii) If the mean of five values is 10.2 and four of the values are 8, 10, 7, and 12,

the fifth value = 10.2*5- 8-10-7-12 = 14

(iii) Find the mean of 60, 80, 30, 40, and 50 is (60+80+30+40+50)/5 =52

a. Add 10 to each value and find the mean.

mean = (70+90+40+50+60)/5 =60

b. Subtract 10 from each value and find the mean.

mean = (50+70+20+30+40)/5 =50

c. Multiply each value by 10 and find the mean.

mean =3000/5 =600

d. Divide each value by 10 and find the mean.

mean =30/5 =6

e. Make a general statement about each situation.

if we add the A value in data then mean will increase by A. if we subtract A from each observation, mean will decrease by A unit .

if we multiply each observation by A , mean will increase by multiplication of A .

if we divide each observation by A , mean will decrease by 1/ A .

(iv) Find midrange of the data -4,-5,-7,-0, -12

midrange = -12+0 /2 = -6

(v) Which measures of central tendency cannot be calculated from data set 4,5,7,0, 12.

Mode

for part vi , some observation is missing