Calculate standard deviation for file:


Correct answer:

s =  7.6561
s1 =  7.8917

Step-by-step explanation:

n=17  m=(63+65+68+69+69+72+75+76+77+79+79+80+82+83+84+88+90)/n=(63+65+68+69+69+72+75+76+77+79+79+80+82+83+84+88+90)/17=129917=7671776.4118  a1=(63m)2=(6376.4118)2179.8754 a2=a1+(65m)2=179.8754+(6576.4118)2310.1038 a3=a2+(68m)2=310.1038+(6876.4118)2380.8616 a4=a3+(69m)2=380.8616+(6976.4118)2435.7958 a5=a4+(69m)2=435.7958+(6976.4118)2490.7301 a6=a5+(72m)2=490.7301+(7276.4118)2510.1938 a7=a6+(75m)2=510.1938+(7576.4118)2512.1869 a8=a7+(76m)2=512.1869+(7676.4118)2512.3564 a9=a8+(79m)2=512.3564+(7976.4118)2519.0554 a10=a9+(79m)2=519.0554+(7976.4118)2525.7543 a11=a10+(79m)2=525.7543+(7976.4118)2532.4533 a12=a11+(80m)2=532.4533+(8076.4118)2545.3287 a13=a12+(82m)2=545.3287+(8276.4118)2576.5571 a14=a13+(83m)2=576.5571+(8376.4118)2619.9619 a15=a14+(84m)2=619.9619+(8476.4118)2677.5433 a16=a15+(88m)2=677.5433+(8876.4118)2811.8304 a17=a16+(90m)2=811.8304+(9076.4118)2=1694017=996817996.4706  s=a17/n=996.4706/17=7.6561

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Showing 1 comment:
Dr Math
See also our standard deviation calculator for this case:

Statistical file:
{63, 65, 68, 69, 69, 72, 75, 76, 77, 79, 79, 80, 82, 83, 84, 88, 90}

Standard deviation σ=7.63165870128
Corrected sample standard deviation s=7.86653373101


Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Standard deviation
    standard-dev Find standard deviation for dataset (grouped data): Age (years) No. Of Persons 0-10 15 10-20 15 20-30 23 30-40 22 40-50 25 50-60 10 60-70 5 70-80 10
  • 75th percentile (quartille Q3)
    statistics Find 75th percentile for 30,42,42,46,46,46,50,50,54
  • Confidence Interval
    normal_d The average grade of 50 students senior students in a statistics class is 85 with a standard deviation of 10.2 while a group of 60 senior students got an average of 80 with a standard deviation of 8.9, can the difference in the mean grade be attributed to
  • Alcohol 2
    alko Two types of alcohol one 63% and second 75% give 20 liters of 69% alcohol. How many liters of each type are in the mixture?
  • Annual income
    income The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
  • A mountain
    rope_normal_stdev A mountain climber plans to buy some rope to use as lifeline. Which of the following would be the better choice? Explain your choice. Rope A: Mean breaking strength:500lb; standard deviation of 100lb Rope B: Mean breaking strength: 500lb; standard deviati
  • Performance comparing
    statistics A standardized test was administered to thousands of students with a mean score of 85 and a standard deviation of 8. A random sample of 50 students were given the same test and showed an average score of 83.20. Is there evidence to show that this group ha
  • Language test
    test Your language test scores are 58, 68, 89 and 95. What is the lowest you can earn on the next test and still achieve an average of at least 79?
  • Reverse Pythagorean theorem
    pytagors Given are lengths of the sides of the triangles. Decide which one is rectangular: Δ ABC: 77 dm, 85 dm, 36 dm ... Δ DEF: 55 dm, 82 dm, 61 dm ... Δ GHI: 24 mm, 25 mm, 7 mm ... Δ JKL: 32 dm, 51 dm, 82 dm ... Δ MNO: 51 dm, 45 dm,
  • Basketball team
    meter The heights of five starters on redwood high’s basketball team are 5’11”, 6’3”, 6’6”, 6’2” and 6’. The average of height of these players is?
  • Alcohol mixing
    roztoky How much 64% of the alcohol must be poured into 6 liters of 85% alcohol to produce 79% alcohol?
  • SD - mean
    normal_sd The mean is 10 and the standard deviation is 3.5. If the data set contains 40 data values, approximately how many of the data values will fall within the range of 6.5 to 13.5?
  • Final exam
    test There are 5 learners in a class that has written a final exam Aleta scored 55% vera scored 36% and Sibusiso scored 88% if Thoko scored 71% and the class average was 63%. What was Davids score as a percentage?
  • A professor
    skola A professor in a typing class found out that the average performance of an expert typist is 85 words per minute. A random sample of 16 students took the typing test and an average speed of 62 words per minute was obtained with a standard deviation of 8. C
  • Assembly time
    mean_normal The assembly time for the toy follows a normal distribution with a mean of 75 minutes and a standard deviation of 9 minutes. The company closes at 5 pm every day. If one starts assembling at 4 pm what is the probability that he will finish before the comp
  • Chess
    sachovnica How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
  • Tallest people a
    normal_d As a group, the Dutch are amongst the tallest people in the world. The average Dutchman is 184 cm tall. If a normal distribution is appropriate, and the standard deviation for Dutchmen is about 8 cm, what is the percentage of Dutchmen who will be over 2 m