Question
The mean and standard deviation of 6 observations are 10
and 3 respectively. If each observation is multiplied by 4 and then 5 is added to each result, find the new mean and new standard deviation.Solution
If original data has mean ΞΌ and SD Ο, and we transform x to y = a x + b: New mean = aΞΌ + b New SD = |a| Ο Here ΞΌ = 10, Ο = 3, a = 4, b = 5 New mean = 4Γ10 + 5 = 45 New SD = 4Γ3 = 12.
A 40 L mixture of milk and water has milk:water = 3:2. How much water should be added to make milk:water = 3:4?
(X + 140) liters of mixture A contains milk and water only such that quantity of water in it is (X β 100) liters less than quantity of milk in it. 75%...
A container has 64 litres of milk. 16 litres of milk is removed and replaced with water. This process is repeated three times. How much milk is left?
A mixture (milk + water + honey) contains β14mβ litres milk, β21nβ litres water and 49 litres more honey than water. If 25% of the mixture was r...
In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:
400 litres of mixture X contains acetone and glycerine in the ratio 11:14, respectively. 100 litres of the mixture is withdrawn and labelled as mixture ...
The cost price of watermelon juice in flask F is Rs. 55 per liter, and the cost price of watermelon juice in flask I is Rs. 40. When the watermelon juic...
- The ratio of milk to water in a mixture is 6:1. 49 litres of mixture is removed and 14 litres of water is added. In the resultant mixture, the quantity of ...
Mixture 'A' consists of milk and water in a ratio of 7:8, while mixture 'B' contains milk and water in a ratio of 3:2. When these two mixtures are combi...
520 ml of a mixture contains milk and water in the ratio of 10:z respectively. If 80 ml of water and 90 ml of milk are added into it, then the ratio of ...
