→The Data Provided to calculate range is : 3930,4070, 3500, 3200, 2950, 3840, 4070 4060.
→Arranging the data in Ascending order
2950, 3200, 3500, 3840, 3930,4060,4070,4070
1. Now, Range = Maximum Number (in Data Set) - Minimum Number (in Data set)
= 4070 - 2950
= 1120
2. Standard Deviation
Mean =
So, Mean of the above data set=
Square of Difference between Mean and each value in Data set:
1. (2950 - 3695)²=(-745)²= 555025
2. (3200 - 3695)²= (-495)²=245025
3.(3500 -3695)²= (-195)²= 38025
4. (3840 - 3695)²= (145)²=21025
5. (3930- 3695)²= (235)²=55225
6. (4060 - 3695)²=(365)²=133225
7. (4070 - 3695)²= (375)²=140625
8. (4070 - 3695)²= (375)²=140625
Sum= 555025 +245025+ 38025+21025+55225+133225+140625+140625= 1328800
Standard Deviation=
= 407.55(approx)