The marks obtained by 9 students in a test are: 5, 8, 7, 9, 6, 7, 8, 7, 10. Determine: (i) Mode of the marks, (ii) Number of students scoring above average.
Mode = 7, Number of students scoring above average = 4
The nine marks are 5, 8, 7, 9, 6, 7, 8, 7, 10. We need the mode and how many students score above the average.
The mode is the most frequently occurring mark. Counting: 7 appears three times, while 8 appears twice and every other value once. So the mode is 7.
For the average, add all marks: \(5+8+7+9+6+7+8+7+10=67\).
There are 9 students, so the mean \(=\frac{67}{9}\approx 7.44\).
Now count marks strictly greater than 7.44: these are 8, 9, 8 and 10.
That is 4 students scoring above the average.
The concepts are the mode (highest-frequency value) and comparing each value with the arithmetic mean. Hence Mode = 7 and number of students scoring above average = 4.
Similar Questions
The given table shows the number of people in different age groups. Find the mean age of the given number of people.
Class interval of age (in years) Number of people (f) 25 - 29 10 30 - 34 12 35 - 39 8 40 - 44 5 45 - 49 15 50 - 54 10 55 - 59 15 If the marks scored by the students in a class test out of 50 then, Find the Median of the following data:
Marks Frequency 0-10 5 10-20 8 20-30 6 30-40 6 40-50 5 The marks obtained by 9 students in a test are: 5, 8, 7, 9, 6, 7, 8, 7, 10.
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Class interval of age (in years) Number of people (f) 25 - 29 10 30 - 34 12 35 - 39 8 40 - 44 5 45 - 49 15 50 - 54 10 55 - 59 15 If the mode of the data set {a, a + 2, a + 4, a + 6, a + 6, a + 6, a + 8} is 26, find a.
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Marks Frequency 0-10 5 10-20 8 20-30 6 30-40 6 40-50 5
Important Questions from Statistics
The mean and variance of five observations are 14 and 13.2 respectively. Three of the five observations are 11, 16 and 20. What are the other two observations ?
A die is thrown 10 times and obtained the following outputs :
1, 2, 1, 1, 2, 1, 4, 6, 5, 4
What will be the mode of data so obtained ?
Consider the following frequency distribution :
x 1 2 3 5 f 4 6 9 7 What is the value of median of the distribution ?
For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the value of 4M - N ?
Let P, Q, R represent mean, median and mode. If for some distribution \(5 P=4 Q=\frac{R}{2}\) then what is \(\frac{P+Q}{2 P+0.7 R}\) equal to ?
