[Exercise- Page 233]
E.9.1 Determine the range of the following data.
a) 14, 3, 19, 17, 4, 9, 16, 19, 22, 15, 18, 17, 12, 8, 16, 11, 3, 11, 0, 15
b) 48, 70, 58, 40, 43, 55, 63, 46, 56, 44
c)
Solution:
E.9.2 Determine the mean deviation from the arithmetical mean and median of the following data.
a) 8, 15, 53, 49, 19, 62, 7, 15, 95, 77
b) 10, 15, 54, 59, 19, 62, 98, 8, 25, 95, 77, 46, 36
Solution:
E.9.3 Determine the mean deviation from the arithmetical mean and median of the given data.
Solution:
E.9.4 Sobuj and Mouli spend Tk 50 and Tk 80 respectively for going to school by rickshaw every day.
a) Determine the standard deviation of Sobuj and Mouli.
b) Show that the mean of the two data is half the range.
Solution:
E.9.5 In the following is given the data on the number of patients who visit the Out Department of Thana Health Centre for any given day:
a) When is the value of variance minimum? Explain
b) Determine the mean deviation and standard deviation of the data and then compare.
Solution:
E.9.6 33.2 is the arithmetic mean deviation of the mass number in the following table. Find the value of p by finding the arithmetic mean.
Solution:
E.9.7 Nipa has a flower garden. The garden has 60 different varieties of flowering plants. The mean height (in cm) of the plants is 28.5.
a) Find the values of x and y and complete the table.
b) Calculate the mean height of the trees in a simplified manner.
c) Determine the mean deviation of the height of the trees from the median.
d) Determine the standard deviation of the height of the trees from the mean.
Solution:
E.9.8 See the picture given beside. In the picture, the height of the six students is given in centimeters. Do the following exercises:
a) Determine the mean and median of Height of students
b) Determine the mean deviation from the mean and median of Height of students
c) Determine the standard deviation from the mean and median.
Solution:
E.9.9 The arithmetic mean and standard deviation of a sample of ten members are 9.5 and 2.5 respectively. Later another member of 15 values was included in the sample. Now, find the arithmetic mean and standard deviation of a sample of eleven members.
Solution:
E.9.10 The annual profit (in crores) of 100 companies is given below:Calculate the mean deviation and standard deviation from the arithmetic mean of the data.
Solution:
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