Question

For the given data; 11, 15, 17, y +1, 19, y-2, and 3
if the mean is 14, find y

Answer 1

Answer:

Arithmetic mean = sum of all the observations / Number of observations

Step-by-step explanation:

14 = { 11 + 15 + 17 + ( y + 1 ) + 19 + ( y - 2 ) + 3} / 7

14 = { 2y + 66 - 2 } / 7

14 = { 2y + 64 } / 7

2y + 64 = 14*7

2y = 98 - 64

2y = 34

y = 34 / 2

y = 17

so , the value of y will be 17

Answer 2

$\green{ \tt mean} = \tt \frac{ \lgroup \red{sum \: \: of \: \: \: all \: \: observations }\rgroup}{ \orange{ \: \: total \: \: no.of \: \: \: observations \: \: }}$

so ,

$➠ \: \: \: \tt 14 = \frac{11 + 15 + 17 + (y + 1) + 19 + (y - 2) + 3}{7}$

$➠ \: \: \tt14 \times 7 = 2y + 64$

$➠ \: \: \tt2y + 64 = 98$

$\tt➠ \: \: \: 2y = 98 - 64 = 34$

$\tt➠ \: \: y = \frac{34}{2} = 17$

• the value of y is 17