Correct Answer - Option 4 : 40
Given:
The runs scored in a cricket match by 11 players as follows
16, 9, 15, 18, 50, 100, 102, 14, 20, 80, 5
Mean of data = y
Range of data = x
Median of data = z
Concept used:
The range is the spread of your data from the lowest to the highest value in the distribution. The range is calculated by subtracting the lowest value from the highest value.
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
The median is the middle number in a data set when the numbers are listed in either ascending or descending order.
Calculations:
Mean y = (16 + 9 + 15 + 18 + 50 + 100 + 102 + 14 + 20 + 80 + 5)/ 11
⇒ 429/11 = 39
The highest value in the given data = 102
The lowest value in the given data = 5
Range x = 102 - 5
⇒ 97
Now arrange the data in ascending order:
5, 9, 14, 15, 16, 18, 20, 50, 80, 100, 102
⇒ Median = middle value = 18 (Since total numbers are odd)
x = y + z + p
⇒ 97 = 39 + 18 + p
⇒ p = 97 - 39 - 18
⇒ p = 40
∴ Th required value of p is 40
