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### MEAP Preparation - Grade 5 Mathematics4.6 Statistics: Mean, Median, Mode and Range

 Statistics is the study of sets of data and the ability to draw conclusions based on an examination of the data. Average is another word for mean. Mean or the arithmetic mean is the sum of a list of numbers, divided by the total number of numbers in the list. Median is the "middle value" of a list. The smallest number such that at least half the numbers in the list are no greater than it. If the list has an odd number of entries, the median is the middle entry in the list after sorting the list into increasing order. If the list has an even number of entries, the median is equal to the sum of the two middle (after sorting) numbers divided by two. The median can be estimated from a histogram by finding the smallest number such that the area under the histogram to the left of that number is 50%. Mode is the most common (frequent) value. A list can have more than one mode. Range is the difference between the largest and the smallest value in a list. Note that the range is a single number, not many numbers. Average speed is total distance / total time. Example: Set of scores for a class with 12 students: 87, 84, 92, 84, 72, 77, 59, 51, 84, 72, 99, 69 Mean = (87+ 84 + 92 + 84 + 72 + 77 + 59 + 51 + 84 + 72 + 99 + 69)/12 = 930/12 = 77.5 Median = (77 + 84)/2 = 161/2 =80.5 Mode = 84 (The score 84 occurs more frequently than any other - three times) Range = highest test score - lowest test score = 99 - 51 = 48 Directions: Solve the following questions. Also write at least 5 examples of your own.
 Q 1: In nine games, a basketball team scored the following points per game: 67, 45, 84, 55, 73, 36, 80, 62 and 38. Find their median score.626755 Q 2: If six children receive weekly allowances of \$4.10, \$4.32, \$5.52, \$7.18, \$7.92 and \$9.58, what is their median allowance.\$3.35\$6.35\$2.25 Q 3: Find the mode for the values: 68, 77, 79, 84, 85, 84, 90, 91, 93, 100779184 Q 4: If six children receive weekly allowances of \$4.10, \$4.32, \$5.52, \$7.18, \$7.92 and \$9.58, what is their average allowance?\$6.75\$6.44\$4.55 Q 5: Calculate the mean for the values: 2, 5, 6, 6, 8, 10, 12, 176.648.998.25 Q 6: Sue scored 75, 83, 92, 79, 96, and 88 points in her spelling tests. What is her average score rounded to the nearest tenth?85.575.595.3 Q 7: If six children receive weekly allowances of \$4.10, \$4.32, \$5.52, \$7.18, \$7.92 and \$9.58, what is the mode of their allowances?no mode\$4.10\$4.32\$7.92 Q 8: If six children receive weekly allowances of \$4.10, \$4.32, \$5.52, \$7.18, \$7.92 and \$9.58, what is the range of their allowances?\$5.48\$4.43\$6.48 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!