Answer the following questions on the basis of above table The number of stations that recorded temperature less than 40°C:S.No. Temperature/°C Numbers of stations 1 0-10 1 2 10-20 2 3 20-30 3 4 30-40 4 5 40-50 5 6 50-60 4 7 60-70 3 8 70-80 2 9 80-90 1
10
Temperatures below 40°C fall in the first four classes. Their frequencies sum to \(1+2+3+4=10\), so 10 stations recorded temperatures below 40°C.
Given below are two statements:
Statement I: In two tail test, 2.5% of the area of the normal curve falls on the right of 1.96 standard deviations above the mean and 2.5% to the left of 1.96 standard deviations below the mean.
Statement II: In one tail test, for testing the difference between large sample means, a z score of 1.64 is taken as Yardstick at the 5% level of significance.
In light of the above statements, choose the most appropriate answer from the options given below:
In a traditional extract–transform–load (ETL) workflow, data scrubbing performed during the transformation stage is:
| Temperature (°C) | Number of stations |
|---|---|
| 0–10 | 1 |
| 10–20 | 2 |
| 20–30 | 3 |
| 30–40 | 4 |
| 40–50 | 5 |
| 50–60 | 4 |
| 60–70 | 3 |
| 70–80 | 2 |
| 80–90 | 1 |
Using the standard grouped-data interpolation formula with position 3N/4, estimate the third quartile Q₃ of the temperature distribution.
| Temperature (°C) | Number of stations |
|---|---|
| 0–10 | 1 |
| 10–20 | 2 |
| 20–30 | 3 |
| 30–40 | 4 |
| 40–50 | 5 |
| 50–60 | 4 |
| 60–70 | 3 |
| 70–80 | 2 |
| 80–90 | 1 |
Using class midpoints, what is the estimated arithmetic mean temperature?
| Temperature (°C) | Number of stations |
|---|---|
| 0–10 | 1 |
| 10–20 | 2 |
| 20–30 | 3 |
| 30–40 | 4 |
| 40–50 | 5 |
| 50–60 | 4 |
| 60–70 | 3 |
| 70–80 | 2 |
| 80–90 | 1 |
Using the standard grouped-data interpolation formula, what is the estimated median temperature?