On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a

Question

On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 8 trials of this experiment:
486, 358, 395, 759,496, 692, 353, 306 0
(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are their values?

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Ngọc Khuê 3 years 2021-08-11T05:38:25+00:00 1 Answers 15 views 0

Answers ( )

  1. Tryphena
    0
    2021-08-11T05:39:52+00:00
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    Answer:

    480.6 ; 440.5, 8 mode values

    Step-by-step explanation:

    Given that :

    Given the data :

    486, 358, 395, 759,496, 692, 353, 306

    Rearranged data: 306, 353, 358, 395, 486, 496, 692, 759

    The mean:

    Σx/ n

    n = sample size = 8

    Σx = sum of all data values = 3845

    Mean = 3845 / 8

    Mean = 480.6

    The median :

    0.5(n + 1)th term

    0.5(8 + 1) th term

    0.5(9)th term

    = 4.5term

    (4th + 5th term) / 2

    (395 + 486) / 2

    = 440.5

    The mode = most frequently occurring data value ; since all the data values have a frequency of 1, then the number of modes = 8.

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