ID gender dist. from Hunter(miles) commute time (min) Borough 1 M 3.2 20 Manhattan 2 M 7.5 42 Other 3 M 8.8 84 Other 4 M 2.5 12 Manhattan 5 M 5.4 32 Other 6 M 16 63 Other 7 F 4.4 21 Manhattan 8 F 17.2 95 Other 9 F 8.4 72 Other 10 F 4.5 25 Manhattan 11 F 2.7 24 Manhattan 12 F 20.7 80 Other 13 F 14 91 Other 14 F 5.4 24 Manhattan 15 F 5.5 37 Manhattan 16 F 3.4 25 Manhattan Find the z-scores for each student's commute time.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
| ID | gender | dist. from Hunter(miles) | commute time (min) | Borough |
| 1 | M | 3.2 | 20 | Manhattan |
| 2 | M | 7.5 | 42 | Other |
| 3 | M | 8.8 | 84 | Other |
| 4 | M | 2.5 | 12 | Manhattan |
| 5 | M | 5.4 | 32 | Other |
| 6 | M | 16 | 63 | Other |
| 7 | F | 4.4 | 21 | Manhattan |
| 8 | F | 17.2 | 95 | Other |
| 9 | F | 8.4 | 72 | Other |
| 10 | F | 4.5 | 25 | Manhattan |
| 11 | F | 2.7 | 24 | Manhattan |
| 12 | F | 20.7 | 80 | Other |
| 13 | F | 14 | 91 | Other |
| 14 | F | 5.4 | 24 | Manhattan |
| 15 | F | 5.5 | 37 | Manhattan |
| 16 | F | 3.4 | 25 | Manhattan |
Find the z-scores for each student's commute time.
Standard normal distribution:
The standard normal distribution is a special case of normal distribution, in which the mean of the distribution is 0 and standard deviation of the distribution is 1. The Z-scores can be calculated using the given formula.
For raw score:
where, x is the normal random variable
µ is the mean, and
σ is the standard deviation
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