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Question

Temperature (°C)Number of stations
0–101
10–202
20–303
30–404
40–505
50–604
60–703
70–802
80–901

Using the standard grouped-data interpolation formula with position 3N/4, estimate the third quartile Q₃ of the temperature distribution.

The correct answer is

59.375°C

Here \(N=25,\quad 3N/4=18.75\). The third quartile lies in 50–60°C, whose preceding cumulative frequency is 15, frequency is 4 and width is 10°C. Therefore \(Q_3=50+\frac{18.75-15}{4}\times10=59.375^\circ\mathrm{C}\).

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Important Questions from Data Analysis - Teaching

  1. 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:

  2. In a traditional extract–transform–load (ETL) workflow, data scrubbing performed during the transformation stage is:

  3. Temperature (°C)Number of stations
    0–101
    10–202
    20–303
    30–404
    40–505
    50–604
    60–703
    70–802
    80–901

    Using class midpoints, what is the estimated arithmetic mean temperature?

  4. Temperature (°C)Number of stations
    0–101
    10–202
    20–303
    30–404
    40–505
    50–604
    60–703
    70–802
    80–901

    Using the standard grouped-data interpolation formula, what is the estimated median temperature?

  5. S.No.Temperature/°CNumbers of stations
    10-101
    210-202
    320-303
    430-404
    540-505
    650-604
    760-703
    870-802
    980-901

    Answer the following questions on the basis of above table

    The number of stations that recorded temperature less than 40°C:

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