Find the mean, median, mode and range for the following ...



MeasureSet A2, 2,3, 5, 5, 7,8Set B2, 3, 3, 4, 6, 7The MeanTo find the mean, you need to add up all the data, and then divide this total by the number of values in the data.Adding the numbers up gives:2 + 2 + 3 + 5 + 5 + 7 + 8 =32There are 7 values, so you divide the total by 7:32 7 = 4.57...So the mean is 4.57 (2 d.p.)Adding the numbers up gives:2 + 3 + 3 + 4 + 6 + 7 = 25There are 6 values, so youDivide the total by 6:25 6 = 4.33...So the mean is 4.33 (2 d.p.)The MedianTo find the median, you need to put the values in order, then find the middle value. If there are two values in the middle then you find the mean of these two values.The numbers in order:2 , 2 , 3 , (5), 5 , 7 , 8The middle value is marked in brackets, and it is 5.So the median is 5The numbers in order:2,3,(3,4),6,7This time there are two valuesIn the middle. They have beenPut in brackets. The median isFound by calculating the mean of these two values:(3 + 4) + 2 = 3.5So the median is 3.5The ModeThe mode is the value which appears the most often in the data. It is : possible to have more than one mode if there is more than one value which appears the most.The data values:2 ,2, 3, 5, 5, 7, 8The values which appear mostoften are 2 and 5. They bothappear more time than anyof the other data values.So the modes are 2 and 5The data values:2, 3, 3, 4, 6, 7This time there is only oneValue which appears most often - the number 3. It appears more times than any of the other data values.So the mode is 3The RangeTo find the range, you first need to find the lowest and highest values in the data. The range is found by subtracting the lowest value from the highest value.The data values:2, 2, 3, 5, 5, 7, 8The lowest value is 2 and thehighest value is 8. Subtractingthe lowest from the highestgives: 8 - 2 = 6So the range is 6The data values:2, 3, 3, 4, 6, 7The lowest value is 2 and thehighest value is 7. Subtractingthe lowest from the highestgives: 7 - 2 = 5So the range is 5Find the mean, median, mode and range for the following examples.The wages of the employees of a small firm were.?11,200?11,200?11,200?11,800?12,400?12,400?13,000?15,400?18,000?18,000?20,700The weekly numbers of visitors to a theme park over the Summer wereWeekVisitorsWeekVisitorsWeekVisitors19,000617,0001116,000211,000716,0001214,000310,000818,0001314,000413,000920,000515,0001016,000Mean Mode Median & Range: NameThis contains information on the levels of unemployment in the UK between 1992 and 1996 in four months. The data is counted in millions19921993199419951996Jan8101078Feb910988Mar9116512Apr7109412What are the mean, mode, median and range of the above levels of unemployment?MeanModeMedianRangeAverages (1)The hourly wages of 5 people are ?4.40, ?4.20, ?4.50, ?4.70 and ?4.60.What is their average (mean) hourly wage?What is the range of their wages?What is the median wage?Eight mechanics earn ?180, ?196, ?196, ?196, ?202, ?205, ?221, and ?204.What is their mean wage?What is the range of their wage?What is the modal wage?What is the median wage?A student gets 12, 16, 20, 28 marks in 4 tests. What was her average mark?Five bars of steel have the following lengths:- 260cm, 320cm, 400cm, 260cm, and 310cm.What is their average length?What is the modal value?3kg copper at 32p per kg are combined with 1kg zinc at 20p per kg to make brass. How much would this 4kg piece of brass cost?How much is this per kg?Averages (2)Find the average (Mean) and range for the following sets of numbers:-2 5 6 7 103 8 2 712 17 29 23 340.7 0.6 0.8 0.38.0 7.2 6.1 3.5 4.2Four students are aged 17yr, 17yrl month, 17yr3month and17yr 8 month. Find their average wage.The average weight of 5 packages is 9.6kg. The average weight of four of them is 10.6kg. What does the fifth weigh?The weights in kg of 9 students are:- 56, 62, 62, 75, 49, 57, 52, 65, 70.What is their average weight?What is their median weight?What is the range of their weights?What is the modal weight?Conversions between Metric and Imperial SystemsConvert the following to centimetres:3metres3.6m36mm0.065km5inchesConvert the following to metres:-40cm213mm1.39km 27inches5yardsConvert the following to grams300mg15.34kg12.31b0.231b17ozConvert the following to litres:-3 gallons5 pints(1 mile - 1.6km, 1km - 0.6miles) Convert the following:-14 miles to kilometres26km to miles1lb = 16oz. Convert the following to ounces:2 1/2lb1/2lb2lb 3oz61/2lb4lb 11ozMetric conversions (1)Approximate Conversions1kg = 2 1/4 lb1 gallon = 4.5 litres1 metre = 3.25 feet1 foot = 30 cm1 litre = 1.7 pints1 metric tonne = 1 Imperial ton1 inch= 2.5cm1 mile = 1.6km (or 5 mile = 8 km)Paul walked 20 miles in 1 day and Aziz walked 34km. Which student walked further?Stuart is 2m tall. Haw tall is this, in feet and inches?If the speed limit is 30m.p.h., what is this in km/h?A workshop is 8m long and 4m wide. What are these measurements in feet?How many pints are there in a 2 litre bottle of cola?A crankshaft has a diameter of 2.4inches. What is this in cm?Metric conversions (2) Imperial unitsMetric units1 lb - 16oz1kg = 1000g1 pt = 20 floz1 litre = 1000ml = 1000ccConvert the following into ounces:-3 1/2lb1/2 lb1/4 lb6lb 7oz10lb 5ozIf 1oz - 28g, convert to grams:-2 1/4oz4 1/2 oz6oz4.5oz5 3/4 ozWrite as fractions of a pint, in lowest terms:-4floz12floz25floz2floz6flozConvert into fluid ounces, giving your answers to the nearestfloz. (1floz - 30ml):-90ml450ml600ml510ml1litreIf 1 gallon - 4.5 litres, convert the following to litres:-3 gallons4 gallons10 gallonsMetric conversions (3)1 sq. foot - 900cm2 (0.09m2)1 fluid ounce - 28ml1 acre - 4000m2 (0.4ha)1 pint - 600ml (0.6/)1 hectare (ha) - 2.5 acres(10 000m2)1 gallon - 4.5 litres(4500ml)1 m2 - 11 sq.feet(square metre)1 litre - 1.7 pint8floz = ml9litres = pints40acres = ha20pints = ml = litres50sq.ft = m2How many pints of oil does a 5 litre can contain? ................
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