20 Statistics Practice Questions
Mean Calculation (Direct and Assumed Mean Method)
- Find the mean of these values: 25, 30, 35, 45, 50, 60, 65, 70.
- Find the mean of: 12, 15, 18, 20, 22, 25.
- Calculate the mean of the following data:
Marks Frequency 10 2 20 4 30 6 40 3 50 5 - (a) Use the assumed mean method to calculate the mean where A = 24.5
(b) Calculate Median (c) Calculate mode
Class Interval Frequency 0 - 9 3 10 - 19 7 20 - 29 10 30 - 39 5 40 - 49 2 - Calculate (a) Mean (b) Mode and (c) Median
Class Frequency 5 - 14 4 15 - 24 6 25 - 34 10 35 - 44 8 45 - 54 2 - (a) Assumed mean is any number you can think of, now this time the assumed mean is 10, calculate the mean using the assumed value given. (b) Why is it important to choose the assumed mean value from the list of class marks?
(c) Calculate the median and (d) Mode
Score Range Frequency 10 - 19 5 20 - 29 8 30 - 39 15 40 - 49 7 50 - 59 3 - (a)The mean of the distribution below is 47.45, use it to find the value of X
(b) Calculate the Median
(c) ModeAge (Years) Frequency 20 - 29 3 30 - 39 6 40 - 49 X 50 - 59 4 60 - 69 2 - (a)Given the distribution below, use it to draw Histogram and estimate Mode from it
(b) Draw the frequency distribution curve on the same axis with Histogram above.
(c) Draw and ogive (Cumulative frequency Curve) and estimate median.
(d) use the knowledge of statistics estimate the range of Mean.Class Frequency 100 - 109 6 110 - 119 10 120 - 129 15 130 - 139 9
Median Questions
- The mean of the numbers 7, 9, 12, 15, Y, 20, 24 is 19, find the value of Y
- Calculate the mean, mode and median of:
Score Frequency 10 2 20 6 30 8 40 3 - Calculate the mean, mode and median of:
Class Interval Frequency 0 - 10 2 10 - 20 5 20 - 30 12 30 - 40 9 40 - 50 2 - Calculate the mean, mode and median of the salary
Salary (Tsh ‘000’) Frequency 100 - 199 5 200 - 299 9 300 - 399 11 400 - 499 7
Mode Questions
- Find the mode of: 7, 9, 12, 12, 15, 18, 20, 24, 24, 24.
- From the table below, determine the modal class and calculate mode, and calculate the mean, and median of:
Class Frequency 0 - 9 2 10 - 19 5 20 - 29 12 30 - 39 9 - Calculate the mean, mode and median of:
Age Frequency 15 - 19 3 20 - 24 8 25 - 29 11 30 - 34 6
Histogram, Frequency Curve, and Ogive Questions
- Using the table below, draw a histogram:
Marks Frequency 0 - 10 4 10 - 20 6 20 - 30 9 30 - 40 7 - Draw a frequency curve from the above data.
- Construct a cumulative frequency table from the following data and draw an ogive:
Class Interval Frequency 10 - 20 2 20 - 30 4 30 - 40 6 40 - 50 8 - From the ogive curve of the above data, estimate the median.
- Draw both less than and more than ogives on the same axes from this data:
Marks Frequency 0 - 10 2 10 - 20 5 20 - 30 7 30 - 40 6
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