Data And Their Representations
NIOS · Class 10 · Maths
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Explore the full setRaw data of 20 students' marks is: 45, 56, 61, 56, 31, 33, 70, 61, 76, 56, 36, 59, 64, 56, 88, 28, 56, 70, 64, 74. Find the range.
Answer
Step 1: Maximum value = 88 Step 2: Minimum value = 28 Step 3: Range = Maximum - Minimum = 88 - 28 = 60 Answer: 60…
How is class mark found for a class interval? Find the class mark of 35-41.
Answer
Formula: Class mark = (Lower limit + Upper limit)/2 Step 1: Lower limit = 35, upper limit = 41 Step 2: Class mark = (35 + 41)/2 = 76/2 = 38 Answer: 38…
Why are tally marks written in bunches of five?
Answer
Tally marks make counting large data easier. Step 1: Each new observation gets one mark. Step 2: The fifth mark crosses the first four diagonally. Step 3: This creates easy groups of 5 for quick count…
A data set has maximum value 205 and minimum value 105. Find the range.
Answer
Step 1: Maximum value = 205 Step 2: Minimum value = 105 Step 3: Range = 205 - 105 = 100 Answer: 100…
Data are: 28, 31, 33, 36, 45, 56, 56, 56, 56, 56, 59, 61, 61, 64, 64, 70, 70, 74, 76, 88. Find the number of students scoring 56 and the number scoring more than 60.
Answer
Step 1: Count 56 in the list = 5 Step 2: Count values more than 60: 61, 61, 64, 64, 70, 70, 74, 76, 88 Step 3: Number more than 60 = 9 Answer: 56 occurs 5 times, and 9 values are more than 60.
Classify the data: voters' lists, data collected in a census-questionnaire, and absentee data collected from school records.
Answer
Step 1: Voters' lists are collected directly by the investigator, so they are primary data. Step 2: Data collected in a census-questionnaire are collected directly, so they are primary data. Step 3: A…
Why can the same data be primary for one user and secondary for another?
Answer
Data depends on who collected it. Step 1: If an investigator collects data directly, it is primary data for that investigator. Step 2: If another person later uses the same data, it becomes secondary …
Construct the range of the marks data of 20 students: 45, 56, 61, 56, 31, 33, 70, 61, 76, 56, 36, 59, 64, 56, 88, 28, 56, 70, 64, 74.
Answer
Step 1: Arrange mentally to identify extremes. Step 2: Highest mark = 88 Step 3: Lowest mark = 28 Step 4: Range = 88 - 28 = 60 Answer: 60…
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