Show Mean, Median, Mode, and Range Three types of averages can be used to describe a data set. Averages
Math In Real Life A marine biologist records the locations of deep sea jellies in relation to the ocean surface. Jellies are found at -2,278 feet, -1,875 feet, -3,210 feet, -2,755 feet, -2,407 feet, and -2,901 feet. What is the average location of a deep sea jelly? Find the Mean To find the mean of the 6 locations of the deep sea jellies in the problem above, divide the sum of the locations by 6.The mean location in relation to the ocean surface is -2571 ft. Guided Practice (Ask your tutor for help.)
2) Find the mean of the data. Finding Median, Mode, and Range
$7.20, $13.25, $14.94, $16.56, $18.74, $19.99, $19.99, $29.49 Median The data set has an even number of prices, so the median is the mean of the two middle values, $16.56 and
$18.74. Mode The price that occurs most often is $19.99. This is the mode. Range
Range = $29.49-$7.20=$22.29 Choosing a Representative Average Groups A and B try a new ice cream flavor and rate it on a scale of 1 to 10 as shown. Which average best represents each group?
The mean, median, and mode are very close. So each average is a fair representation of the ratings as a group. The mean is higher than all but 3 ratings. The mode is equal to the lowest rating. So, mean and mode are not good choices. The median best represents the ratings. Guided Practice (Ask your tutor for help.) 3) Find the Error 4) Use the data set 6, 12, 4, 15, 10, 6, 2, 9 to complete the statement using mean, median, mode, or range. a. The _?_ is 8. b. The _?_ is 6. c. The _?_ is 13. 5) Jocelyn is training to run in a race. Her practice times (in minutes and seconds) are 22:45, 21:56, 21:03, 20:33, and 20:28. Find her mean time to complete the race. Step 1 Change Jocelyn's practice times to seconds.Answer Key 1) 16 1/8 in2) 3.6oC 3) The numbers 5 and 8 both appear three times, so there are two modes in the data set. 4) 5) 21:21 What is the central measure found by adding all numbers in the dataset and then dividing by the number of values?The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order. If a data set has an even number of values, the median is the mean of the two middle values.
What is the central measure found by adding all numbers?The mean is the arithmetic average, and it is probably the measure of central tendency that you are most familiar. Calculating the mean is very simple. You just add up all of the values and divide by the number of observations in your dataset. The calculation of the mean incorporates all values in the data.
What is the central measure of data?A measure of central tendency (also referred to as measures of centre or central location) is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.
What are the 4 measures of central tendency?The four measures of central tendency are mean, median, mode and the midrange. Here, mid-range or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set.
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