"Reverse" from frequency table or histogram to (pseudo)data and then stats. In case you don't have the data but only a classed/binned/grouped frequency table or histogram how can you calculate the mean? class Freq. ----- ----- 0 6 10 2 20 8 30 12 40 4 50 7 ____ n=______ The midpoint of the classes: 5 15 25 35 45 55 Use the midpoint of each class as the average data value of the data in that class and multiply by that class's frequency, sum: (6 5s + 2 15s + 8 25s + 12 35s + 4 45s + 7 55s) 5*6 + 15*2 + 25*8 + 35*12 + 45*4 + 55*7 = 30 + 30 + 200 + 420 + 180 + 385 = 1245 Tedious! Error-prone. (pseudo)mean = 1245 / n = _______ Inaccurate because the midpoint is probably not the average value of the data in a class but won't be too far off. Well, it's all you have in this case. OR grouped freq dist-->data https://davidwills.us/math103/freqDistTOdata.html Type the class/group/bin midpoints into "class/bin midpoints:" In this example: 5 15 25 35 45 55 Paste the frequencies into "their Frequencies:" In this example: 6 2 8 12 4 7 It generates that many (its frequency) of each midpoint values. In this example: 5 5 5 5 5 5 15 15 25 25 25 25 25 25 25 25 35 35 35 35 35 35 35 35 35 35 35 35 45 45 45 45 55 55 55 55 55 55 55 (i.e. 6 5s, 2 15s, 8 25s, 12 35s, 4 45s, 7 55s) Copy and paste into "freq dist, histogram, stats ***" https://davidwills.us/math103/freq_histogram.html and let that do the tedious and error-prone arithmetic. mean=_______ And all the other stats... ******************************************************************* class Freq. ----- ----- 100 37 130 18 160 5 190 15 220 18 250 22 280 31 I recommend using the software. n=_____ What is the (pseudo)mean:______