Study the given table and answer the following question: Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019): State/Year A B C D E 2014 112 130 136 105 117 2015 122 138 150 140 120 2016 124 134 142 144 132 2017 132 154 198 149 133 2018 135 148 187 151 145 2019 153 136 198 150 187 The consumption of tea in which state and year is closet to 1.1 times the average consumption of tea in state E over 6 years?
Study the given table and answer the following question: Annual consumption (in hundred tonnes) of tea in five states (A, B, C, D and E) across 6 years (2014 to 2019): State/Year A B C D E 2014 112 130 136 105 117 2015 122 138 150 140 120 2016 124 134 142 144 132 2017 132 154 198 149 133 2018 135 148 187 151 145 2019 153 136 198 150 187 The consumption of tea in which state and year is closet to 1.1 times the average consumption of tea in state E over 6 years? Correct Answer A in 2019
Given:
| State/Year | A | B | C | D | E |
| 2014 | 112 | 130 | 136 | 105 | 117 |
| 2015 | 122 | 138 | 150 | 140 | 120 |
| 2016 | 124 | 134 | 142 | 144 | 132 |
| 2017 | 132 | 154 | 198 | 149 | 133 |
| 2018 | 135 | 148 | 187 | 151 | 145 |
| 2019 | 153 | 136 | 198 | 150 | 187 |
Formula used:
Average = Sum of observation/Total number of observation
Calculation:
First, find the average of E
⇒ (117 + 120 + 132 + 133 + 145 + 187)/6
⇒ 834/6 = 139
Now, find 1.1 times of 139
⇒ 139 × 1.1 = 152.9
Which is closed to A in 2019 - 153
∴ A in 2019 is the closest to 1.1 times the average of E in 6 years.