Question 2 [33 marks] 2.1 Consider the following heights in meters of some objects presented in the stem-and-leaf diagram below. Stem Leaf 5 9 1 6 6 7 7 8 9 6 9 9 10 2 3 11 8 1 5 12 0 0 13 8 3 2 5 6 14 6 8 KEY 10 extbar 2 o 102 a. Draw the box and whisker plot, and determine if there is any outlier. [9 marks] b. What is the percentage of objects with height between 60 and 80 meters? [2 marks] c. Find the percentile rank of 65. [2 marks] d. From a frequency distribution of 5 classes, find the measures of central tendency and comment on their relationship. [14 marks] e. What is the variance of this data? [6 marks]
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To draw the box and whisker plot, we need to find the minimum, maximum, median, and quartiles of the data. The minimum value is 10. The maximum value is 98. The median is the middle value, which is 65. Show moreā¦
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Problem 1: Consider the following Stem and Leaf Plot a. Find the Mode b. Find the Median c. Find the Mean d. Find the Midrange e. Find the Population Standard Deviation f. Find the Inter-quartile Range, the IQR g. Find the Z-Score of 32 h. Find the Relative Frequency of 23 i. Find the Upper Outlier Boundary j. Find the Population Variance
Sri K.
Consider the following sample data. 76 102 82 130 98 141 103 57 81 92 141 59 148 80 82 112 101 106 133 57 100 99 76 84 108 77 150 138 113 124 87 76 113 111 104 71 61 145 150 93 148 73 60 143 73 149 119 98 95 67 (a) Compute the mean, mode, and median of the ungrouped data. (6 marks) (b) Calculate the range and standard deviation of the ungrouped data. (6 marks) (c) Find the first quartile (Q1), third quartile (Q3) and interquartile (IQR) range of the ungrouped data. (6 marks) (d) Construct frequency distribution table, cumulative relative frequency and cumulative percentage of the data. (6 marks) (e) Draw an ogive for the frequency distribution table. Hence, find the value of X, if 10% of the data were at least X. (6 marks) [Total: 30 marks]
Madhur L.
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