question 1 (2 points)\nthe data set represents the number of errors on a typing test.\n5\n6\n8\n8\n9\n9\n10\n…

question 1 (2 points)\nthe data set represents the number of errors on a typing test.\n5\n6\n8\n8\n9\n9\n10\n10\n10\n10\n12\n1. what is the median? ______ errors\ninterpret this value in the situation.\n________ (a quarter, half) of the people had ________ errors or more and ________ (3 quarters, half) had 9 errors or fewer.\n2. what is the iqr? ______ errors\nblank 1:\nblank 2:\nblank 3:\nblank 4:\nblank 5:

question 1 (2 points)\nthe data set represents the number of errors on a typing test.\n5\n6\n8\n8\n9\n9\n10\n10\n10\n10\n12\n1. what is the median? ______ errors\ninterpret this value in the situation.\n________ (a quarter, half) of the people had ________ errors or more and ________ (3 quarters, half) had 9 errors or fewer.\n2. what is the iqr? ______ errors\nblank 1:\nblank 2:\nblank 3:\nblank 4:\nblank 5:

Answer

Explanation:

Step1: Arrange data in order

The data set is already in ascending - order: 5, 6, 8, 8, 9, 9, 10, 10, 10, 10, 12. There are (n = 11) data points.

Step2: Calculate the median

For a data - set with (n) data points (where (n) is odd), the median is the (\left(\frac{n + 1}{2}\right))-th value. Here, (\frac{11+1}{2}=6)-th value. So the median is 9.

Step3: Find the lower and upper quartiles

The lower half of the data set is 5, 6, 8, 8, 9. The median of the lower half ((Q_1)) is 8. The upper half of the data set is 10, 10, 10, 10, 12. The median of the upper half ((Q_3)) is 10.

Step4: Calculate the inter - quartile range (IQR)

The IQR is (Q_3−Q_1). So (IQR=10 - 8=2).

Answer:

Blank 1: 9 Blank 2: Half Blank 3: 9 Blank 4: Half Blank 5: 2