Our Friend the TI-83 and One Variable Statistics



Our Friend the TI-83 and One Variable Statistics

The TI-83 calculator is able to perform many rigorous statistical tasks in very short time. Follow the Mr. Ryan’s guided tour to do the following:

1. Produce a box and whisker plot for the following data set:

10, 12, 13, 15, 16, 18, 20, 24, 27, 30, 35

Special Places: (stat,edit), (2nd, y=), (window)

2. Find the mean, median, mode, standard deviation, quartiles for the following data set:

-55, -20, 35, 45, 47, 51, 63, 71, 85, 93, 104, 112, 125, 138, 152

Special Places: (stat, edit), (stat, calc, 1-var stats, L1)

3. Given a set of data points that satisfy a normal distribution as follows X~N(5, 22), determine the percent of data that lies between values of 3 and 7.

Special Places (2nd, vars)

Command Lines (see page 406 : C.8 in textbook):

normalcdf(lowerbound, upperbound, mean, standarddev)

normalcdf(lowerzscore, upperzscore)

4. If the mean length of pike in a lake is 30 cm and the standard deviation is 4 cm, what length of pike is larger than 75% of pikes?

Special Places (2nd, vars)

Command Lines (see page 407 : C.9 in textbook):

InvNorm(area or percent as decimal, mean, standarddev)

InvNorm(area or percent as decimal) ( results in z-score

TI-83 Activities

1. Consider the following grades in a class: 12, 58, 61, 67, 73, 75, 81, 81, 93, 94

Determine the mean, median, mode, interquartile range, and standard deviation.

Describe the distribution… ie; skewed left or right, bimodal, mound.

2. An inspector at a cereal packaging facility selects a sample of 20 cereal boxes from the day shift and 20 cereal boxes from the afternoon shift. A cereal box should have a mass of 450 g. The cereal boxes had these masses in grams.

Day Shift Masses (G)

438 |474 |435 |498 |474 |492 |462 |474 |450 |420 | |441 |498 |501 |453 |444 |465 |462 |438 |459 |480 | |

Afternoon Shift Masses (G)

426 |444 |423 |444 |447 |459 |480 |426 |459 |438 | |444 |447 |450 |438 |453 |468 |423 |444 |477 |468 | |

a) Calculate the mean, median, and standard deviation for each shift.

b) Use your answer to part a) to answer the following. Which shift is doing a better job packaging cereal? Give two reasons to support your answer.

3. Mr. Ryan is holding try-outs for a volleyball team. He knows that the mean

vertical jump for a junior aged student is 38 cm with a standard deviation of

12 cm. Mr. Ryan has high expectations and will only consider players who can jump higher than 80% of the population. What is the minimum vertical jump required to be considered for Mr. Ryan’s team?

4. Mr. Ryan spends the summer practicing his golf game. His mean score is 112 with

a standard deviation of 14. If Mr. Ryan player golf 50 times this summer, how

many times did he receive a score lower than 96? Not often enough (

5. pg 188 #17ab

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